TV and RI intersect at E. If the measure of IVE=50, the measure of VIE=70 and the measure of RET=2X-10 , find the value of x
Answers
Answer:
x = 35
Step-by-step explanation:
The angle sum theorem can be used to find the congruent vertical angles RET and IEV. The equation relating these can be solved for x.
Missing angleThe missing angle in triangle IVE is found using the angle sum theorem:
∠IVE +∠VIE +∠IEV = 180°
∠IEV = 180° -50° -70° = 60°
Vertical angleVertical angles RET and IEV are congruent:
∠RET = ∠IEV
2x -10 = 60
2x = 70 . . . . . . . . add 10
x = 35 . . . . . . . . divide by 2
The value of x from the given conditions is 35.
The line TV and RI intersect at E.
The measure of IVE=50° and the measure of VIE=70°.
Since, the points V, I and E makes a triangle.
Therefore, the total angle inside the triangle is 180°.
Hence,
∠IVE + ∠VIE + ∠VEI = 180°
50°+70°+ ∠VEI = 180°
∠VEI = 180°-50°-70°
∠VEI = 60°
Also the angles ∠VEI and the angle ∠RET are congruent.
Therefore, ∠VEI = ∠RET
60° = 2x-10
2x = 70
x = 70/2
x = 35.
The lines TV and RI intersect at E. If the measure of IVE=50, the measure of VIE=70 and the measure of RET=2X-10. Then the value of x = 35.
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Related Questions
The base of a triangle is four times its height. If the area of the triangle is 242 square millimeters , find its base and height.
Answers
area= 1/2 b*h
242=1/2 4h*h=2h^2
h^2=121
h=11
b=4h=44
Ples help i will give you the best
ITS 10 POINTS
Can u tell me how to slove
Answers
Answer:
1024.
Step-by-step explanation:
4^5=4x4x4x4x4=1024.
Explanation: it's just 4 five times
What is the equation for the volume of a Cylinder? And a can of baked beans is 11cm by 3.5cm, a can of soda pop is 13cm by 4cm. What is the difference between the volume of the baked beans and the volume of the soda pop? Please explain using math vocabulary, and how you solved this problem.
Answers
Answer:
volume = (Pi)(r^2)(height)
57.5 cm^3 difference in volume
Step-by-step explanation:
Assuming that the 3.5 cm and the 4 cm are diameters of the cans:
The radius of the baked beans can is one-half of the diameter and that would be 1.75 cm.
The radius of the soda can is one-half of the diameter and that would be 2 cm.
The formula for the volume of a cylinder is Pi times the radius squared times the height. (Pi)(r^2)(height)
Baked beans volume equals (3.14)(1.75^2)(11) = (3.14)(3.06)(11) = 105.78 cm^3
Soda can volume equals (3.14)(2^2)(13) = (3.14)(4)(13) = 163.28 cm^3
The soda can has more volume so:
163.28 cm^3 minus 105.78 cm^3 equals 57.5 cm^3 difference in volume.
The price of stock in a software company drops by $42.60 over a 16-day period. On average, how much does it drop per day?
$2.66
$0.37
$26.60
$2.60
Answers
Interest of 1 million dollars 23% and 6 years please solve and will give brainliest to correct answer
Answers
Answer:
$2,462,825.99 is the interest accrued
Step-by-step explanation:
hope this helps
5 more than the product of a number and 4 is equal to 3 use variable y for unknown number
Answers
Answer:
[tex](y + 4) + 5 = 3 \\ y + 9 = 3 \\ y = - 6 \\ [/tex]
I'm not sure
WILL MARK BRAINLYIST
Answers
Which measurements are for a rectangle with an area of 16 square units?
4 units wide, 2 units long
2 units wide, 6 units long
4 units wide, 3 units long
2 units wide, 8 units long
Answers
Answer:
2 Units wide , 6 units long
An adult and 5 children rent skates. It costs $4 per adult for skates and a total of
$16.
What is the equation?
Answers
Answer:
$24
Step-by-step explanation:
(1+5) x 4 = 24 dollars
Check your solution!
5 • x = 12
Answers
Answer:
x = 2.4
Step-by-step explanation:
isolate x \/
x=12/5
12/5 = 2.4
Answer:
i dun know wut u mean by check ur solution but I'll anyways solve it
x=12/5
x=2.4
I hope it helps
HELP!!! An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.
The amount of cardboard required to make one box is ___
square inches.
Answers
Answer:
130 in^2 net area
136 in^2 gross area (counting the 6 in^2 scrap loss for the side cutouts)
Step-by-step explanation:
top=1.5x4=6
middle=1.5x4=6
bottom=3x4=12
sides=(2x3x8)-(2x1.5x2)=42
front & back=2x8x4=64
6+6+12+42+64=130
The amount of cardboard required to make one box is 130 inch².
What is Area?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.
From the figure we have
top = 1.5 x 4 = 6
and, middle = 1.5 x 4 =6
and, bottom = 3 x 4 = 12
So, the side is
= (2 x 3 x 8) - (2 x 1.5 x 2)
=42
and, For front and back
= 2 x 8 x 4
=64
Thus, the amount cardboard required
= 6+6+12+42+64
= 130 in²
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In the somewhat less than towering ski slopes of northeastern Iowa new skiers come to learn to ski. On Big Bunny Slope skiers will fail to make the turn at Big Bend. On Little Bunny Slope, skiers will sometimes tumble at Little Hill. The ski instructors send the new skiers down the two slopes in groups of 30, wait a few moments, and then send the Ski Patrol Ambulance down after them, stopping at Big Bend and then Little Hill. The skiers descend the slopes far enough apart that they don't run into each other, so their spills are all independent.
Required:
a. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Big Bend is 0.35. If we define the random variable B = number of new skiers needing to be driven to the First Aid Station from Big
Bend, we can model this situation as a binomial chance experiment. What is the mean and standard deviation of B?
b. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Little Hill is 0.15. If we define the random variable L = number of new skiers needing to be driven to the First Aid Station from Little Hill, what is the mean and standard deviation of L?
Answers
Answer:
A. Mean = 10.5, standard deviation = 2.61247
B. Mean = 4.5, stand deviation = 1.955761
Step-by-step explanation:
Number in a group = 30
So n= 30
A.
It follows the binomial distribution
n = 30, probability p = 0.35
The mean = n*p
= 30x0.35
= 10.5
The standard deviation = √np(1-p)
= √10.5(1-0.35)
= √10.5(0.65)
= √6.825
= 2.61247
B. Probability of a new skier carried = 0.15
n = 30
Mean = n*p
= 30x0.15
= 4.5
The standard deviation = √np(1-p)
= √4.5(1-0.15)
= √4.5(0.85)
= √3.825
= 1.955761
Solve this systems of equations.
Will mark brainlest!
{4y + 7x =6}
{4y + 7x = -5}
Answers
Answer:
No solution
Step-by-step explanation:
The coefficient of x and y in both the equations are the same
That represents that both the lines are parallel
Hence no intersection is possible
this means that there is no solution possible
7x+y4=-5 hkkb
Danny charges $27 for 3 hours of swimming lessons, Martin charges $30 for 2 hours of swimming lessons. Who offers a better deal?
Answers
Which expression is equivalent to 4r2/514.3V5r8, if x=0?
A. 12 r105
B. 6018
C. 35r18
D.
710/5
Look at picture please
Answers
Step-by-step explanation:
I think it would be c if not D
The simplification of the given expression using laws of exponents is: 80x⁸
How to use laws of exponents?Some of the laws of exponents are:
- When multiplying by like bases, keep the same bases and add exponents.
- When raising a base to a power of another, keep the same base and multiply by the exponent.
- If dividing by equal bases, keep the same base and subtract the denominator exponent from the numerator exponent.
The expression we want to solve is given as:
4x²√(5x⁴) * 3√(5x⁸)
Using the concept of laws of exponents, this simplifies as:
4x² * x² * 3x⁴ * 5
= 80x⁸
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36 - 40. In order to save for her high school graduation, Marie decided to save P200 pesos at the end of each month. If the
bank pays 0.250% compounded monthly, how much will her money be at the end of years?
Answers
Answer:
200.4 at 0.25%
Step-by-step explanation:
Given data
P= P200
r= 0.25%
t= 1 year
n= 12
A= P(1+ r/n)^nt
substitute
A= 200(1+ 0.0025/12)^12*1
A= 200(1+ 0.00020833333)^12
A= 200(1.0002)^12
A= 200* 1.002
A= 200.4
Hence the amount is 200.4 at 0.25%
What is the y intercept of the line 5x-2y=10
Answers
Answer:
Step-by-step explanation:
The y intercept occurs when x=0.
5(0)-2y=10
-2y=10
y=-5 or the point (0,-5)
equation.
1. h - 9= 2h - 1
Answers
Add 9 to both sides
h-9+9=2h-1+9
h=2h+8
Subtract 2h from both sides
h-2h=2h+8-2h
-h=8
Divide both sides by-1
-h/-1=8/-1
h=-8 is your answer
¿cuantos pedasos de 1/8 de metro se pueden cortar de 4metros?
Answers
Answer:
32 pedasos
Step-by-step explanation:
Cantidad de trozos = Metros totales de cable / Cantidad de metros de cada trozo
Which numbers make a true statement when placed in the box?
11.436 > 0
Select each correct answer.
11.422
11.484
11.621
11.286
o
Please help
Answers
242m/min express this in km/h
Answers
Answer:
14.52 km/h
Step-by-step explanation:
Please see the picture attached.
I hope this helps!
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell five cars; nineteen generally sell six cars; twelve generally sell seven cars; nine generally sell eight cars; eleven generally sell nine cars. Calculate the following. (Round your answer to two decimal places.)Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency
Answers
Answer:
Step-by-step explanation:
From the information given:
We can compute the required calculations into a table as shown below.
[tex]\mathbf{Data \ value }[/tex] [tex]\mathbf{ Frequency }[/tex] [tex]\mathbf{Relative \ frequency}[/tex] [tex]\mathbf{Cumulative \ relative }[/tex]
[tex]\mathbf{Frequency}[/tex]
5 14 14/65 = 0.22 14
6 19 19/65 = 0.29 19+14 = 33
7 12 12/65 = 0.19 33+12 = 45
8 9 9/65 = 0.14 45 + 9 = 54
9 11 11/65 = 0.17 54 + 11 = 65
65
Note: that the relative frequency is determined by dividing each value in the frequency by the total of the frequency.
You are considering purchasing either a medium or a large pizza.
Medium Pizza
12-inch diameter
Large Pizza
14-inch diameter
How much greater, in square inches, is the area of the large pizza than the
medium pizza? Select the best answer below.
Answers
Jerry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all
which equation can be used to find m, the number of marbles still needed to fill
the jar
273
1,000
1,000
1,000 1 273 m
1.000
Done >
Answers
Answer:
I would say that the answer is 1000=273+m
4. Which of the following numbers is not a solution of the inequality 3x – 5 > 4x – 3?
a. -1
b. -2
c. -3
d. -5
Answers
Options c and d are correct.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
What is solution for inequality?A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.
According to the given question
We have an inequality
3x - 5 > 4x - 3
⇒ 3x - 4x > -3 + 5
⇒ -x > 2
⇒ x < -2
Hence, those numbers which are less than -2 will be the the solutions of the given inequality 3x - 5 > 4x - 3. Therefore options c and d are correct.
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Write and solve the inequality.
Nine less than the product of a number n and is no more than 95.
Fill in the boxes,
Answers
box 1: 1/4
first arrow: - (less than)
second arrow: < (less than or equal to if that's an option, that means there would be a line underneath <)
box 2: 1/4
third arrow: same as second arrow
last arrow: =
box 3: 104 ÷ 1/4 = 416
message if you dont understand
hope this helped
The inequality shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The inequality that represents the given statement is
(1/4)n ≤ 95 + 9
The number n is n ≤ 416.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Nine less than the product of a number n and 1/4 is no more than 95.
Let the number be n.
Now,
No more than means,
We have less than, greater than, and equal to.
We can use less than and equal to.
The inequality can be written as,
1/4 x n - 9 ≤ 95
(1/4)n - 9 ≤ 95
Add 9 on both sides.
(1/4)n ≤ 95 + 9
(1/4)n ≤ 104
Multiply 4 on both sides.
n ≤ 416
Thus,
The inequality that represents the given statement is
(1/4)n ≤ 95 + 9
The number n is n ≤ 416.
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Which of these are prime numbers? Circle all that apply.
5 7 12 8 11 2 20 45
Answers
Answer:
2, 5, 7, 11
Step-by-step explanation:
Lunch costs $2.25 per day. An equation showing the relationship between
the number of days, d, and the total cost of lunch, c, is c = 2.25d What is
the dependent variable?*
d = the number of days
c = the total cost of lunch
What is the answer?
Answers
Answer:
The dependent variable is c
Step-by-step explanation:
The cost of lunch changes with each day, so the cost depends on the number of days
Answer:
i agree c is the total cost
Step-by-step explanation:
Find the missing lengths or missing angles
Answers
Answer:
hj=6
because it's angle are equal and equilateral triangle have equal angles so, the length is 6
Is parallelogram VWXY a rhombus?
Answers
Answer:
it is a a rhombus......... parallelogram is also called as a rhombus....