Mathematics High School

The measures of the angles of a triangle are shown in the figure below.Solve for X.

Answers

Answer 1

Answer:

x=3

Step-by-step explanation:

51 degrees + (7x+18) degrees = 90 degrees

7x+18=90-51

7x+18=39

7x+18-18=39-18

7x=21

7x/7=21/7

x=3

Related Questions

The 40-hour work week did not become a U.S. standard until 1940. Today, many white-collar employees work more than 40 hours per week because management demands longer hours or offers large monetary incentives. A random sample of 26 white-collar employees worked on average 42.08 hours per week. Is there any evidence that the true mean number of hours worked per week by white-collar employees is greater than 40? Assume that the population standard deviation is 3.39 hours. Please use the exact value (from R) for all critical values. c) Is there any evidence to suggest the true mean number of hours worked per week by white-collar workers is greater than 40? Perform the hypothesis test at a 0.5% significance level. (0.5 pts.) Calculate the test statistic. 3.13 You are correct. Your receipt no. is 152-5185 Previous Tries (0.5 pts.) Calculate the p-value. Please write your answer in scientific notation using an E for the exponent and including at least 3 decimal places. For example, 1.234 x 10-5 would be written as 1.234E-5. 8.782x10-4 (0.5 pts.) d) Calculate the appropriate 99.5% bound that is consistent with what you did in parts b) and c).

Answers

The necessary assumptions are to get the sample for random sampling and ensure they are normal.

a. The required assumptions to form hypothesis are:Sample has to be drawn from random sampling.Sample has to be approximately normalThe samples have to be independent

b. The standard deviation is known hence we have to make use of the z distribution.

c. test statistic

42.08 - 40 / (3.39 /√26)

= 2.08 / 0.6648

= 3.129

≈3.13

p value

p(Z > 3.13)

= 0.0008770

8.7e-4

d. Z critical value = 2.81

42.08 +- 2.81 * 3.39/√26

= 42.08 +- 2.81*0.6648

= 42.08 - 1.868, 42.08 + 1.868

= 40.212 ,43.948

Answers

The contribution margin per unit is $ 1.50

The contribution margin is the percentage of a product's sales revenue that isn't consumed by variable costs and goes toward paying the firm's fixed expenses.

One of the main components of break-even analysis is the idea of contribution margin.

Labor-intensive businesses with few fixed expenses tend to have low contribution margins, whereas capital-intensive, industrial businesses have more fixed costs and, thus, higher contribution margins.

According to the question,

Total expenses per unit = $(5.50+3.00+1.50+4.00+2.50+2.00+1.00+0.50)

= $ 20

Selling Price per unit = $ 21.50

Thus, contribution margin per unit = $ (21.50 - 20)

= $ 1.50

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A rectangle with a length of x - 4 and a width of 8 has a perimeter of 34. what is the value of x?

Answers

Answer:

Step-by-step explanation:

2(x-4+8)=34

x-4+8=17

x+4=17

x=13

What are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 2x + 5?

(–4, –3) and (–2, 1)

(–4, –3) and (2, 1)

(–4, 5) and (2, 1)

(–4, 5) and (–2, 1)

Answers

Answer:

(–4, 5) and (–2, 1)

Step-by-step explanation:

Answer: A: (-4,-3) (-2,1)

Step-by-step explanation:

I got this correct on the test. Using the substitution method give brainliest

If BE−→− bisects ∠ABD and m∠ABD = 66°, find m∠ABE.

Answers

Answer:

∠ABE = 33°

Step-by-step explanation:

Angle bisector:

Angle bisector is a straight line that divides the angle into two congruent (equal) angles.

So, BE bisects the ∠ABD into two equal angles.

⇒∠ABE will be half of ∠ABD

∠ABD = ∠ABE + ∠BED

66° = ∠ABE + ∠ABE

66 = 2∠ABE

∠ABE = 66/2

∠ABE = 33°

please help me with this

Answers

Answer:

x = -9, y = 8

or,

(-9, 8)

Explanation:

Equation 1: 2x + 3y = 6

Equation 2: 4x - y = -44

To solve by substitution, make y subject for equation 2.

4x - y = -44

-y = -44 - 4x

y = 4x + 44

Substitute this y value into equation 1.

2x + 3(4x + 44) = 6

2x + 12x + 132 = 6

14x = 6 - 132

14x = -126

x = -9

Now, find y value:

y = 4x + 44

y = 4(-9) + 44

y = 8

To check for solution, insert x and y value in either equations.

2x + 3y = 6

insert values

2(-9) + 3(8) = 6

6 = 6

Hence, the solution is correct as both sides equal.

Answer:

Therefore x = -9 and y = 8.

Step-by-step explanation:

Substitution method

Equation (1) ——— 2x + 3y = 6

Equation (2) ——— 4x - y = -44

When using substitution method , make x the subject of equation (1).

2x + 3y = 6

2x = 6 - 3y

x = 3 - 3y/2

Substitute the value of x in equation (2) to find y.

4(3 - 3y/2) - y = -44

12 - 6y - y = -44

Subtract 12 from both sides.

12 - 12 - 7y = -44 - 12

-7y = -56

y = 8

Substitute the value of y in equation (1) to find x.

2x + 3y = 6

2x + 3(8) = 6

2x +24 = 6

Subtract 24 from both sides.

2x + 24 - 24= 6 - 24

2x = -18

x = -9

Therefore x = -9 and y = 8.

To check out the solution.

Equation (1) 2x + 3y = 6 , x = -9 , find y.

Substitute the value of x

2(-9) + 3y = 6

-18 + 3y = 6

Add 18 to both sides.

-18 + 18 + 3y = 6 + 18

3y = 24

y = 8

Substitute the value of y in equation (1) .

2x +3(8) = 6

2x + 24 = 6

Subtract 24 from both sides.

2x + 24 - 24 = 6 -24

2x = -18

x = -9

As you can see when you substitute the value of x and y in the equation(1) , you get the same value of x and y ,which is -9 and 8 respectively. So the solution is correct.

3x-6=15 what is the value of x?

Answers

Answer:

Step-by-step explanation:

frist simplfying

3x-6=15

addind six to both side

3x-6+6=15+6

3x=21 dividing by 3

x=7

Given: AD is parallel to BC
Prove: DC = 6 units
Which step is missing?

Answers

answer is C - △DAC ≅ △BCA by ASA

To prove DC = 6 units the missing step is ΔDAC ≅ ΔBCA by ASA.

Option C is the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

AD is parallel to BC

From the figure and the given information,

We have,

∠DAC ≅ ∠BCA

AC ≅ AC∠DCA ≅∠BAC

This means,

Angle-Side-Angle (ASA) Congruence

ΔDAC ≅ ΔBCA

Thus,

To prove DC = 6 units the missing step is ΔDAC ≅ ΔBCA by ASA.

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Which equation could represent the graph shown below?
F(x) = ^3√x + 2 (sqrt just over the x)
F(x) = ^3√x - 2 (sqrt just over the x)
F(x) = ^3√x + 2 (the sqrt is over the whole equation)
F(x) = ^3√x - 2 ( the sqrt is over the whole equation)
I DONT KNOW HOW TO PUT A PICTURE OF THE GRAPH!!

Answers

The equation of the graph is [tex]f(x) = -\sqrt{x -2[/tex]

How to determine the graph equation?

The graph is added as an attachment

The form of the graph is

[tex]f(x) = a\sqrt{x + b[/tex]

The graph passes through the points (2, 0) and (6, -2).

So, we have:

[tex]0 = a\sqrt{2 + b[/tex] and [tex]-2 = a\sqrt{6 + b[/tex]

Solve for b in [tex]0 = a\sqrt{2 + b[/tex]

Divide both sides by a

[tex]0 = \sqrt{2 + b[/tex]

Square both sides

0 = 2 + b

Subtract 2 from both sides

b = -2

Substitute b = -2 in [tex]-2 = a\sqrt{6 + b[/tex]

[tex]-2 = a\sqrt{6 -2[/tex]

[tex]-2 = a\sqrt{4[/tex]

Evaluate the square root

-2 = 2a

Divide by 2

a = -1

Substitute b = -2 and a = -1 in [tex]f(x) = a\sqrt{x + b[/tex]

[tex]f(x) = -\sqrt{x -2[/tex]

Hence, the equation of the graph is [tex]f(x) = -\sqrt{x -2[/tex]

Answers

Step-by-step explanation:

Has greater balance = Heba

Has more debt = Nour

Read the "note" thing on there

it says banks use Negative balances meaning the negative sign ( minus sign) to represent an account with debt which means an account that is owning money e.g -$11, -$15 etc.

And they use positive balances meaning the positive sign to represent account that contains valuee.g $2, $7 etc( You might wonder why I didn't put a positive sign on it, the reason is because it's already a positive number so no need to add a positive sign (+) to it)

( BUT they can still add a positive sign to it but it isn't necessary )

If you see any number or amount without a negative sign (-) then that number or amount is positive e.g 1, 2,3,4,5,6,11,14,17,20,100,8, $3, $15, $23 and so on..

Hope this helps.Good luck ✅.

Using the number line:

Heba has the greater account balance

Nour has the most debt.

What is a Number Line?

A number line shows where a number lies according to the order. Values greater than 0 and are on the right side are greater than values and vice versa.

Given their balances, $29.17 is greater than -$11.99. Therefore, Heba has the greater account balance using the number line.

Since - indicates debt, Nour has the most debt.

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Josie has 16 coins. Each of her coins is either a quarter or a dime. If she has 6 more dimes than quarters, and the total value is $2.35, how many quarters does Josie have?

Answers

Josie has a total of 5 quarters.

How to find the number of quarters using equation?

Josie has 16 coins. Each of her coins is either a quarter or a dime.

Let

x = number of quarters

y = number of dime

she has 6 more dimes than quarters.

Therefore,

y = 6 + x

x + y = 16

-x + y = 6

2y = 22

y = 11

11 = 6 + x

x = 11 - 6

x = 5

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For the following distribution: x p(x) 0 01.30 1 0.346 2 0.346 3 0.154 4 0.026 what is the mean of the distribution?

Answers

The mean of the distribution given is 0.569.

Given some distribution like under:

x p(x)

0 0.650

1 0.216

2 0.087

3 0.026

4 0.014

5 0.009

We have to find the mean of the distribution.

Mean is the sum of numbers divided by the numbers which are taken into consideration. It is also known as average.

Mean=sum/n

To find the mean of distribution we have to find sum of x*p(x)

∑xp(x)=0*0.650+1*0.216+2*0.0087+3*0.026+4*0.014+5*0.009

=0+0.216+0.174+0.078+0.056+0.045

=0.569

Hence the mean of the distribution given in the question is 0.569.

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Distribution in the given question is wrong and the right question is as the right distribution is as under:

x p(x)

0 0.650

1 0.216

2 0.087

3 0.026

4 0.014

5 0.009

Note: Figure is not drawn to scale.

The object above is symmetrical through Z. If Y = 14 inches, Z = 14 inches, and H = 10 inches, what is the area of the object?

Answers

The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of kite = (product of diagonals)/2

Area of kite = (10 * 14) / 2 = 70 in²

The area of the object with a shape of kite having diagonals of 14 inches and 10 inches is 70 in².

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Using algebra, prove that 0.136 (3,6 recurring) is equal in value to 1/33.

Answers

Answer:

0.1363636... = 3/22

Step-by-step explanation:

Let x = 0.1363636...

100x = 13.6363636...

(-) x = 0.1363636...

------------------------------------------

99x = 13.5

x = 13.5/99

x = 135/990

x = 27/198

x = 9/66

x = 3/22

0.1363636... = 3/22

0.1363636... is not equal to 1/33.

1/33 = 0.030303...

A variable that can only take on specific numeric values is called a _____. Group of answer choices categorical variable discrete random variable continuous random variable categorical variable

Answers

A variable that can only take on specific numeric values is called A discrete random variable.

According to the statement

A variable which is used to select a specific numeric value and we have to find a those variable

A discrete random variable is one which may take on only a countable number of distinct values.

So, A variable that can only take on specific numeric values is called A discrete random variable.

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Calculating Volume of a Composite Figure 2 rectangular pyramids are connected at their bases. The total height of the 2 figures if 10 units. The base edge lengths are 9 units and 1.5 units. The height of each pyramid is 5 units. Which statements about the composite figure are true? Check all that apply. The composite figure consists of two rectangular pyramids. The composite figure can be broken down into rectangular prisms. The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5). The total volume is 45 units3. The total volume is 90 units3.

Answers

The answer which are true about the two rectangular pyramids are;

The composite figure consists of two rectangular pyramids.The composite figure can be broken down into rectangular prisms.The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5).

Which statements about the composite figure are true?

It follows from the task content that the dimensions of the rectangular prisms are the same and are as given.

On this note, it follows that the volume of the composite figure is; 1.5(9)(5) + 1.5(9)(5) = 135units³.

Answers

Answer:

Step-by-step explanation:

Given : 10 seat in first row, and the seat will increase 1 by 1 as we go above.... (as we go to the next row) - total rows - 38

Solve ; 38 rows, 10 seat in first row, 1 seat increases each row....

Extra seats - 37,

So,

37 x 10 = 370

TOTAL SEATS = 370

Answer:

1083 seats

Step-by-step explanation:

The number of seats is an arithmetic series with first term 10 and common difference 1. We want to find the sum of 38 terms of the series.

Setup

The sum of n terms of an arithmetic series with first term a1 and common difference d is given by the formula ...

Sn = (2a1 +d(n -1))(n/2)

The sum of the series of interest is ...

S38 = (2(10) +1(38 -1))(38/2)

Total seats

The total number of seats in the theater can be found by evaluating the expression for S38:

S38 = (20 +37)(19) = 57×19 = 1083

There are 1083 seats in the theater.

f(x) = (two-fifths) Superscript x

g(x) = (two-fifths) Superscript x – 3

Which statement about f(x) and its translation, g(x), is true?

The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}.
The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}.
The asymptote of g(x) is the asymptote of f(x) shifted three units down.
The asymptote of g(x) is the asymptote of f(x) shifted three units up.

Answers

Answer: The asymptote of g(x) is the asymptote of f(x) shifted three units down.

Step-by-step explanation:

Answer:

The asymptote of g(x) is the asymptote of f(x) shifted three units down.

Step-by-step explanation:

bc I said so

need answered asapp!!

Answers

Answer:b

Step-by-step explanation:goooooooo

the correct answer is B because the charts title and label are different

What is the slope of the line through (-1,8)(−1,8)left parenthesis, minus, 1, comma, 8, right parenthesis and (3,-4)(3,−4)left parenthesis, 3, comma, minus, 4, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction (Choice B) B 333 (Choice C) C -\dfrac13− 3 1 minus, start fraction, 1, divided by, 3, end fraction (Choice D) D -3−3

Answers

The slope of the line through the points is -3

How to determine the slope?

The points are given as:

(-1, 8) and (3, -4)

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

So, we have:

m = (-4 - 8)/(3 + 1)

Evaluate the expression

m = -3

Hence, the slope of the line through the points is -3

Answers

The purchase value at the 20th percentile is $17.85 for the distribution with a mean of $30.44 and a standard deviation of $14.99.

How to calculate Z-score to raw score X?

The formula for the X is

X = μ + Z × σ

where,

Z- score, μ is the mean, and σ is the standard deviation

Calculation:

It is given that,

μ = $30.44

σ = $14.99

x% is given as the 20th percentile

So, α = 0.20

then, the Z score from the normal distribution table is -0.84

On substituting,

X = μ + Z × σ

= 30.44 + (-0.84 × 14.99)

= 30.44 - 12.59

= 17.85

Therefore, the purchase value at the 20th percentile is $17.88.

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Please help

!!!!!!!!!!!!!!

Answers

Answer: Option (2)

Step-by-step explanation:

[tex]DE=\sqrt{(-a-b-0)^2 + (c-2c)^2}=\sqrt{(a+b)^2 + c^2}[/tex]

15-point question. Pls help

Answers

Answer:

3/8

Step-by-step explanation:

There are 8 equal slices so each slice is 1/8th of the whole pizza

1/8+1/8=2/8 he ate right away

2/8+1/8 for what he ate before going to sleep

2/8+1/8=3/8

matthew ate 3/8 of the pizza

Alice and Bob both go to a party which starts at $5:00$. Each of them arrives at a random time between $5:00$ and $6:00$. What is the probability that the number of minutes Alice is late for the party plus the number of minutes Bob is late for the party is less than $45$

Answers

The probability comes out to be 9/32.

Deducing Arrival Time Possibility

All the possible arrival times by Alice and Bob, in minutes after 5 PM, is constrained by the values of given values of x and y,

x = 0, y = 0, x = 60, y = 60.

Here, let the values of x represent how many minutes after 5 PM Alice arrives at the party.

Let the y values represent the time in minutes that Bob arrives at the party after 5 PM.

Calculating the Required Probability

The times that concern us, however, are obtained by the following probability function,

x + y ≤ 45.

And x = 0, y = 0, and x + y ≤ 45 define the constraints of this probability function. Thus the perimeter of such a graph will be given as,

(45² / 2) = 1012.5 square units

Since the total area of the various arrival times is 60 x 60, or 3600 square units, the probability that Alice and Bob will arrive together after 5 o'clock in the evening in less than 45 minutes is therefore = 1012.5 / 3600 = 9/32

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Here is a list of numbers: 8.2, 0.4, 7.7, 2.8, 4.8, 6.1, 6.1 ,10 ,8.2 ,3 state the median.

Answers

Answer: 6.1

Step-by-step explanation:

Which equation describes this graph?

A. y=−2x
B. y=−2x−3
C. y=−2x+3
D. y=−3x−3

Answers

Answer:

Step-by-step explanation:

if you look the point on the y axis is -3 which is your starting point

in y=mx+b m is the slope

what is 12(w-3) if w= 10

Answers

The answer is 84. Here’s what I did to find the answer: substitute w for 10 12(10-3). Multiply 12•10=120 and 12•3=36. Which leaves with the equation 120-36=84.

Hey there!

12(w - 3)

= 12(10 - 3)

= 12(10) + 12(-3)

= 120 - 36

= 84

12(w - 3)

= 12(10 - 3)

= 12(7)

= 84

Therefore, your answer should be:

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Quick algebra 1 assignment for 50 points!
Experts and Geniuses please help asap, TYSM!

Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.

Hope that helps solve this! :)

Answers

By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.

How to use inverse variation to represent a situation

Herein we should present a statement that represents a real life situation and solve that statement. Here is an example:

In accordance with the Coulomb's law, electric force is inversely proportional to the square of the distance between the two electrically charged particles. If you know that electric force is 20 N when the two particles are 10 cm apart, what is the electric force if the distance is doubled.

Based on the statement, we have the following relationship:

F ∝ 1/r²

Where:

F - Electric charge, in newtonsr - Distance between the two electrically charged particles, in centimeters.

From such relation, we can determine the resulting force by the following equation:

F/20 = 10²/20²

F = 20 × 10²/20²

F = 5 N

By inverse variation, the electric force between the two particles is 5 newtons when they are 20 centimeters apart.

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Solve for x using
cross multiplication.
3x + 6
4
=
4x - 3
5
x = [?]
Enter

Answers

Answer:

x = 42

Step-by-step explanation:

Cross multiplying is done as follows:

the denominator of the second fraction is multiplied with the numerator of the first equation and denominator of the first fraction is multiplied with the numerator of the second equation

5(3x+6) = 4(4x-3) multiply inside the parenthesis

15x + 30 = 16x - 12 transfer like terms to same side of the equation

30 + 12 = 16x - 15x

42 = x

A forest ranger wants to estimate the probability of catching a bass in a lake when using a special type of bait. Describe a process the ranger could use to estimate the probability of catching a bass in the lake.

Answers

The probability of catching a bass in the lake is given by:

Probability = probability 1 × probability 2

How to calculate the probability of catching a bass?

Since the forest ranger caught a fish from his prior fishing experience, we can infer that he has a probability of catching a bass in a lake:

Probability 1 = Number of fish caught/Number of tries

By using a special type of bait, he should calculate the probability of catching a fish as follows:

Probability 2 = Number of fish caught/Number of tries

Therefore, the probability of catching a bass in the lake is given by:

Probability = probability 1 × probability 2

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Let U represent the set of people in a certain community who were asked if they subscribe to an information source.Let D ={ x U | x subscribes to The Daily Informer }andN ={ x U | x subscribes to News Magazine }(Assume these sets are not disjoint.) Write the set that represents the set of people surveyed who subscribe to exactly one of the two news sources given.a) N Db) ( N c D ) ( N D c )c) N c Dd) ( N D )ce) ( N c D ) ( N D c ) Actions of the first congress Can I leave home at 16 in California? If a person assumes that people cons med chocolate in the 1500s the same way that people today consume chocolate, which historical thinking concept would theybe ignoring? The law of segregation states that every organism possesses a pair of? When the US Constitution was written, voting rights were extended only to White men 21 and older who owned property. The 15th Amendment, ratified in 1870, granted suffrage to Black men. The 19th Amendment granted White women 21 and older the right to vote in 1920. It was not until 1971, in the middle of the Vietnam War when men 18 and older were being drafted to fight, that the voting age was lowered to 18 with the ratification of the 26th Amendment. Still today, however, millions of citizens of the United States are denied the right to vote because they have been convicted of felonies. This disenfranchisement of these citizens who have paid their debt to society must end. Which text structure is used in this passage? cause/effect chronological order description problem/solution what is a monopaly and why dose predident jackson veiw the bank of the united states as a monopaly A class was interested in the amount of time it takes them to travel to and from school. They gathered data from a random sample of 200 students in the school and wanted to create an appropriate graphical representation for the data. Which graphical representation would be best for their data? Circle graph Bar graph Line plot Box plot What is the short form of symmetry? Determine whether or not the equation is linear or exponential and explain how you know.y= 4(5^x) Find the surface area of the rectangular prism with the following dimensions:length = 9 mheight = 10 mwidth = 12 m636 m squared710 m squaredStreak Boost.630 m squared1080 m squared Market research needs to be carried out What primary research did you do to determine if people would want your products or service and what secondary research did you do on your competitors? for a pharmacy Which of the following would cause cells to switch from cellular respiration to fermentation?a. The final electron acceptor in the ETC is not available.b. The proton-motive force runs down.c. NADH and FADH supplies are low.d. Pyruvate is not available. Last summer, the Abrams family had a 30-gallon baby pool that they could fill in just 2 minutes. This summer, they purchased a larger kiddie pool that holds 150 gallons of water.If the Abrams fill the larger pool at the same rate, how long will it take to fill it? What is 10535 divided by 86 Prompt: Analyze the causes and consequences of immigration during the Imperial Age. kyle has been playing basketball for 3 1/2 years longer than his sister. write an equation that shows how many years y kyle has been playing if his sister has been playing x years a. What is the volume of this piece of lumber in cm? b. What is the volume of this piece of lumber in m? If is an angle in standard position and its terminal side passes through the point (-20,21), find the exact value of \sin\thetasin in simplest radical form. What percentage of phishing emails have caused data breaches?

The measures of the angles of a triangle are shown in the figure below.Solve for X.​

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The measures of the angles of a triangle are shown in the figure below.Solve for X.