∠C and ∠D are complementary.

Let m∠C=(8x)° and m∠D=(5x−1)°.

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

Complementary angles are angles that add up to 90°.

We have C and D as complementary.

Their sum is:

m∠C + m∠D = 90

Substitute values and solve for x:

8x + 5x - 1 = 9013x = 90 + 113x = 91x = 91/13x = 7
Answer 2

Answer:

x = 7

Step-by-step explanation:

Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.

⇒ ∠C + ∠D = 90°

⇒ 8x + 5x - 1 = 90°                                                          [∠C = 8x; ∠D = 5x - 1]

⇒ 13x - 1 = 90°

⇒ 13x = 90 + 1

⇒ 13x = 91

⇒ 13x/13 = 91/13

x = 91/13 = 7


Related Questions

Select all the expressions that are equivalent to 40% of 90.

Answers

Answer:

36

Step-by-step explanation:

My Math Problem.
Please Answer This one​

Answers

Step-by-step explanation:

class 6 to 8 students come here I will give you notes class is started come here fast I am waiting come with your name and class i am also girl come please please please please please please

Answer:

148°or 4x

Step-by-step explanation:

For a four sided Polygon (quatrilateral) the measure of four angles=360

Therefore,

2x+3x+4x +(x -10)=360

9x+x-10=360

10x-10=360

10x=360+10

10x=370

x=37

Therefore all angles are

74, 111, 148, 27

Therefore, largest angle = 148°

MARK ME AS BRAINLIST

The sum of two numbers is 24. Two times the first number minus the second number is 21

Answers

Step-by-step explanation:

x + y = 24

2x - y=21

I'm guessing the question was find both numbers.

3x = 35

x=15

3y = 27

y=9

A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 meters, how tall will the mountain be in 4 millennia?
if necessary, round your answer to the nearest whole number.

Answers

Answer: 1,393 meters tall

Step-by-step explanation:

Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.

y

= a(1–r)t

y

= 1,710(1–0.05)4 Plug in values

y

= 1,710(0.95)4 Subtract

y

= 1,710(0.81450…) Simplify

y

= 1,392.80568… Multiply

Round to the nearest whole number.

1,392.80568… → 1,393

To the nearest whole number, the mountain will be 1,393 meters tall.

The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10 inches) and the standard deviation is 3 inches.

Use the table to estimate the probability that a randomly -selected male is between 67 and 45 inches tall. Express your answer as a decimal.

Answers

Using the normal distribution, it is found that the probability is 0.16.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, [tex]\mu = 70, \sigma = 3[/tex].

The proportion of students between 45 and 67 inches is the p-value of Z when X = 67 subtracted by the p-value of Z when X = 45, hence:

X = 67:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{67 - 70}{3}[/tex]

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 70}{3}[/tex]

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at https://brainly.com/question/24663213

If the nth term of an ap is n-12 find the sum of its first 25 terms

Answers

The nth term Tn = n - 12 illustrates an arithmetic progression

The sum of the first 25 terms is 25

How to determine the sum of the terms?

The nth term is given as:

Tn = n - 12

Calculate the first term

a = 1 - 12

a = -11

Calculate the second term

T2 = 2 - 12

T2 = -10

Calculate the common difference (d)

d = T2 - a

d = -10 + 11

d = 1

The sum of n terms is then calculated as:

Sn = n/2(2a + (n - 1) * d)

So, we have:

S25 = 25/2(-2 * 11 + (25 - 1) * 1)

Evaluate

S25 = 25

Hence, the sum of the first 25 terms is 25

Read more about arithmetic progression at:

https://brainly.com/question/6561461

Consider a rectangle with a side length of (2y + 6) and a perimeter of (10y + 4). What is the length of its base?

Select one:
A. 6y - 8

B. 3y - 4

C. 6y - 4

D. 8y - 2

Answers

Answer:

D Because other options do not have integration constants

Answer:

The answer is b) 3y-4

Step-by-step explanation:

-x - 3y = 6, 2x + 3 = -8 equivalent equation and solution

Answers

Answer:

x = -11/2 , y = -1/6

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}-x-3y=6\\ 2x+3=-8\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=-\frac{11}{2}[/tex]

[tex]\begin{bmatrix}-\left(-\frac{11}{2}\right)-3y=6\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}\frac{11}{2}-3y=6\end{bmatrix}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-\frac{11}{2},\:y=-\frac{1}{6}[/tex]

Hence, x = -11/2 , y = 1/6

~Learn with Lenvy~

The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot n =

Answers

The distance between the two points pictured will be [tex]\sqrt{61}[/tex].

What is the distance between the two points?

The length of the line segment connecting two places is the distance between them.

The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)= (-3,-2)

(x₂,y₂)=(2,4)

The distance between the two points is found as;

[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]

Hence the distance between the two points pictured will be [tex]\sqrt{61}[/tex].

To learn more about the distance between the two points refer to;

https://brainly.com/question/16410393

Answer:

n=61

Step-by-step explanation:

complete the proof, word bank at bottom

Answers

Answer:

Step-by-step explanation:

2) definition of angle bisector

4) division property of equality

5) division property of equality

6) substitution property

7) SAS similarity

Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?

6 units
12 units
14 units
4 units

Answers

Answer: 12 units

Step-by-step explanation:

If you graph them on a graph you count the units between them and that is your anwser.

Answer:

12 units

Step-by-step explanation:

calculate DG using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2[/tex]

with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )

DG = [tex]\sqrt{(-4-8)^2+(3-3))^2}[/tex]

     = [tex]\sqrt{(-12)^2+0^2}[/tex]

     = [tex]\sqrt{144+0}[/tex]

    = [tex]\sqrt{144}[/tex]

    = 12


A county fair charges $9.00 for admission and $2.50 per ride. If Latisha spent $49 on admission and rides, how many rides did Latisha ride?

Answers

Answer:

Latisha rode 16 rides

Step-by-step explanation:

Look at picture attached. Have a blessed night!

Just slope intercept formula (y=mx+b). X represents the number of rides so you will need to myltiply that by $2.50. $9 is a one time fee so that would be of the b of the equation. That all equals the total Latisha piaid, $49. Then solve like so.

Analyze the diagram below and answer the question that follows.

In the triangle above, what is the measure of ∠A?

A. m∠A = 30°
B. m∠A = 45°
C. m∠A = 60°
D. cannot be determined

Answers

Answer:

B

Step-by-step explanation:

sames sides same angle

180=90+2x

180-90=2x

90=2x

x=45

If $1209 is deposited in an account that pays 8. 2% interest compounded monthly, what is the balance after 26 years? Use: A=P(1+r)t
Round to the nearest cent

Answers

Answer:

Step-by-step explanation:

We can use the interest equation (mind you it is the same thing as said in the problem) to solve this:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the resulting amount, r is the interest rate, n is the number of times compounded per year and t is the time.

[tex]A=1209(1+\frac{.082}{12} )^{12*26}[/tex]

A = $10,120.29

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! A local grocery store released the following statistics on the average volume of products sold per month in its two branches over the past six months.

Answers

Answer:

a. House hold laundry

b. Beverages

c. Snacks

Step-by-step explanation:

Do mark brainliest.

#a

For branch A

Household laundry

For branch B

Snacks

#b

For branch A

snacks

For branch B

Canned goods

#c

Branch A

20+25+15+28+20108

Branch B

20+18+30+23+20111

Branch B performed better

simply 2x + x + x + 2y x 3y x y

Answers

Answer:

[tex]4x + 6y^{3} x^{2}[/tex]

Step-by-step explanation:

Simplify

What is the pattern: April 3, March 31, March 28, March 25?

A) 30 days earlier

B) 1 week earlier

C) 3 days earlier

D) 3 days later

Answers

C) 3 days earlier would be the pattern

can anyone help me with this question, i dont really understand how to do pls help me ​

Answers

there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7

Help due in an hour and I am confused

Answers

Answer:

48 degree

Step-by-step explanation:

Angle EFD=Angle EGD=42 degree

Angle EFG=90 degree

Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree

Answer:

m∠DFG = 48°

Step-by-step explanation:

Angles in a semicircle Theorem

The angle at the circumference in a semicircle is 90°

Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°

As the sum of the interior angles of a triangle is 180°

m∠EDG + m∠EGD + m∠DEG = 180°

⇒ 90° + 42° + m∠DEG = 180°

⇒ m∠DEG = 48°

As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°

HELP ASAP

10. A store is selling its display furniture at a discount of 35%. How much would be paid for
a chair regularly selling for $195.95 if sales tax is 8%?

Answers

225 dollars is the answer

Choose 3 values that would make this inequality true. 8n + 4 ≤ 28

Choices:3,6,13,2,5,14,1

Answers

Answer:

1,2,3

Step-by-step explanation:

1*8=8+4+12<28

2*8=16+4=20<28

3*8=24+4=28=28

Factor completely 2x2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5).

Answers

The factor the given polynomial are 2,(x+4),(x-5).

We have given that the equation,

[tex]2x^2 -2x -40[/tex]

What is the meaning factor?

Factoring a polynomial is expressing the polynomial as a product of two or more factors.

We can factor out a 2.

[tex]2(x^2 - x - 20)[/tex]

Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].

[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]

[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]

Therefore, the factor the given polynomial are 2,(x+4),(x-5).

To learn more about the factor visit:

https://brainly.com/question/25829061

find the hcf of 6 and 8 by prime factorization method
pls help? ​

Answers

Answer:

2

Step-by-step explanation:

Factorization of the following.

6=3×2×1

8=2×2×8×1

Since, The common factor is 2.This implies that

H.C.F=2

Convert [tex]\frac{7\pi }{4}[/tex] to degrees.

Answers

It’s 315°

To explain

7pi 180°
—— * ——-
4 pi

The pi cancels out because they are across from eachother
Which leaves
7/4 and 180
We divide 180 by 4=45°
And now 45° multiplied by 7 is equal to 315°

A bag contains 20 marbles: 5 blue, 8 green and 7 orange.Find the
probability of drawing a blue marble.

Answers

Answer: 25%

Step-by-step explanation: the probability of drawing blue=5/20

divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)

The steps below show the incomplete solution to find the value of x for the equation 8x − 3x − 1 = −2 + 16:

Step 1: 8x − 3x − 1 = −2 + 16
Step 2: 8x − 3x − 1 = 14
Step 3: 5x − 1 = 14

Which of these is most likely the next step?

5x = 14
5x = 10
5x = 13
5x = 15

Answers

Answer:

5x=15. I hope it can help you a lots. thanks.

Step-by-step explanation:

5x=14+1

5×=14.

Write an equivalent expression to

(x+7)+3y

Answers

Answer:

2x+14+6y

Step-by-step explanation:

Kim bought $100 worth of stock and gained $25 per year. Ari bought $400 worth of stock and lost $35 per year. Use x for time and y for stock value. Graph the equations that represent each situation. The first one is done for you. When did Kim and Ari have the same amount of stock value? After _____ years.
(I WILL MARK YOU AS BRAINLIEST! PLEASE PLEASE HELP! THANK YOU <3)

Answers

Answer:

5 years

Step-by-step explanation:

by year five they both had the same amount

400-35=365

do that 5 times

225

100+25=125

do that 5 times

225

Y=5x+6; x=-2 find the value of y for the given value of x

Answers

Answer:

-4

Step-by-step explanation:

5 * -2 = -10 + 6 = -4

help help help help HELP

Answers

car is travelling faster

22 - 18 = 4 meter per second

hope it helps...!!!

Other Questions
Riding a bicycle can be a fun way to spend time outside. It is important to stay safe while riding your bike, so you should always wear a helmet. Helmets can protect your head from injury if you fall off your bike. The helmet should be tight enough so that it does not fall off your head. Many kids get hurt each year in bicycle accidents. Remember to put on your helmet every time you ride your bike, even if it is just a short ride.Which of the following relationships is most similar to the relationship below?helmets : bicyclesA. head : injuryB. seatbelts : carsC. accidents : safetyD. riding : outside Why can we not see the South Pole-Aitken basin from Earth? The crater is too small to see from Earth. The moon rotates too fast to see any surface features. The crater is on the far side of the moon, which we cannot see. The sun never shines on that side of the moon, so the crater is always in shadow. Why can we not see the South Pole-Aitken basin from Earth? The crater is too small to see from Earth. The moon rotates too fast to see any surface features. The crater is on the far side of the moon, which we cannot see. The sun never shines on that side of the moon, so the crater is always in shadow Why did Nixon establish a relationship with China?A.) The UN Security Council had asked him to do this.B.) He expected to achieve economic gains through trade with the capitalist Chinese government.C.) The military needed to purchase Chinese ammunition following the Vietnam War.D.) He thought that improved relations with China would improve relations with the Soviet Union. A school band sold 432 tickets for their upcoming spring concert. This represents about 85.5% of the number of tickets sold last year. How many tickets were sold last year? (Round to the nearest whole number) In a town of 117 000 people, 14000 like toWatch hockey. What percent of the town'sPopulations like to watch hockey? 2. Tania went to Italy. She changed 325 into euros (). The exchange rate was 1 = 1.68 (a) Change 325 into euros (E). MATHEMATICSNEEDSOMEHELPOFYOURSTY three subtracted from five times a number is -39. what number is? A) Translate the statement above into an equation that you can solve to answer this question, Do not solve it yet. Use x as your variable.The equation is _____B) Solve your equation in part {A} for x .Answer x= What was the process used in the lesson to come up with a sculpted totem?A. Collage, Mood board, brainstormB. Mood board, sketch, createC. Create, draw, brainstorm Which of the following is equivalent to 1 and 5/8 Which property of water makes it effective in protecting firefighters? How to illistrate 1/31/2 How do you use the Hardy-Weinberg equation formula? I am pretty confused on how to apply some of the things... Thank you in advance :) Describe events that show terrorism is now a major threat to U.S. national security When someone is found to have active, communicable tuberculosis for 19 years, what does that mean exactly? Were they contagious for 19 years? what things necessary for peace According to the article, who is most likely to still believe in the American Dream? A) people who are struggling financially B people who are confident in themselves c people who have already achieved the American Dream D people who have seen others achieve the American Dream Determine whether the following sequence is geometric. If so, find the common ratio,1.-3.9. - 27,... Find the 78th term of the arithmetic sequence -4, -2, 0, ...4,2,0,... Why does conflict develop between other nations? Please no links, just an explanation. Best gets brainliest!