The measure of an angle is 8 degrees less than three times the measure of another angle. If the two angles are supplementary (two angles whose sum is 180) what is the measure of the larger angle?

Answers

Answer 1

Answer:

The measure of the larger is [tex]133^{\circ}[/tex].

Step-by-step explanation:

Given:

The measure of an angle is [tex]8[/tex] degrees less than three times the measure of another angle.

The two angles are supplementary.

To find: The measure of the larger angle.

Solution:

Let the measure of the smaller angle be [tex]x^{\circ}[/tex].

Then the measure of the larger angle be [tex]3x^{\circ}-8^{\circ}[/tex].

The two angles are supplementary, so their sum is [tex]180^{\circ}[/tex].

So, [tex]x^{\circ}+3x^{\circ}-8^{\circ}=180^{\circ}[/tex]

[tex]\Rightarrow 4x^{\circ}-8^{\circ}=180^{\circ}[/tex]

[tex]\Rightarrow 4x^{\circ}=180^{\circ}+8^{\circ}[/tex]

[tex]\Rightarrow 4x^{\circ}=188^{\circ}[/tex]

[tex]\Rightarrow x^{\circ}=\frac{188^{\circ}}{4}[/tex]

[tex]\Rightarrow x^{\circ}=47^{\circ}[/tex]

So, the measure of the smaller angle is [tex]47^{\circ}[/tex].

And, the measure of the larger angle is [tex]3\times47^{\circ}-8^{\circ}=133^{\circ}[/tex].

Hence, the measure of the larger is [tex]133^{\circ}[/tex].


Related Questions

Can you help me answer them

Answers

Answer:

a) =5+2p+6

= 11+2p

b)=3+5x-10

= -7+5x

c)= 10+6b+10

= 20+6b

d) = 7s-4s+4

= 3s+4

f)=2x+2+3

= 2x+5

g)= 6w+6+5w

= 11w+6

h)= 2p-2p+7p

= 7p

i)= 8x- 12x + 3x

= -1x

Hope that helped

plz help me with question

Answers

Answer:

Q 2 = B

Q3 = B

Q4 = C

Step-by-step explanation:

Q2 = B because if you do: cost per person ÷ Entrance cost

the proportinality will be correct

Q3 = B because 2 x 3.5 =7

4 x 3.5 = 7, so on and so forth.

Q4 = C because a pizza cost $15 with no topings. So if it has 2 toppings that will be 2x2 + 15 = $19. And they're asking you to find the cost of a pizza with two toppings

Hope this was helpful :>

A computer monitor is 36 inches wide and 15 inches tall. In inches, what is the length of its diagonal?

Answers

Answer:

15

Step-by-step explanation:

If the computer is 36 inches in width

Then it's automatically is 15 inches in .length

ju-long is making punch. For every 3 cups of juice, he adds 6 cups of selzer Graph this relationship. Is there a proportional relationship between the cups of juice and cups of seltzer? EXPLAIN.

|y

|

|

|__________x

Answers

Answer:

Yes, there is a proportional relationship.

Step-by-step explanation:

I can't put a graph in here unfortunately.

IM RUSHING THIS IS A TEST. SOMEONE DO THIS PLEASE. - GIVING BRAINLIEST

Answers

Answer:

Gum is 6 Q 1 D 1 N Raspberries is 12 Q 1 N 1 D

Step-by-step explanation:

You were offered a loan of $8,450 with an APR of 9.3%. The term for the loan is 5 years. Determine how much your monthly car payment will be.

Answers

I believe that it would be 8,435.7 if it is subtract

There are 150 calories in 30 grams of Mary's crackers. How many calories are in 6 grams of crackers? A. 5 B. 10 C. 25 D. 30​

Answers

Answer:

D: 30

Step-by-step explanation:

30/6= 5

150/5=30

how did the ancient greeks Honor their gods​

Answers

Answer: They believed each temple they built should honor only one god, no matter how big or elaborate the temple.

Step-by-step explanation:

If f(x) = -х3, g(x) = 3х2 – 1, and hx) = 2х + 5, what is the degree of [f ogo h](x)?
2
3
5
6

Answers

Answer:

D my love :  6

Find f(g(h(x))).

h(x)=2x+5

g(h(x)) = 3(2x+5)^2 -1     (substitute h(x) in)

f(g(h(x)))= -[3(2x+5)^2 -1]^3    (substitute g(h(x)) in)

Since it asks for the degree of the function, that means we must look for the variable with the highest degree. In this case, after distributing and simplifying out the last equation, we will find that the variable x has the highest degree of x^6, or 6.

please answer the question it would be highly aprriecated

Answers

Answer: d ;)

Step-by-step explanation:

Just match the info on the table to the graph

How many minutes until quarter of ten? Pls help

Answers

Answer:

their are like I think I am not so sure bit I think it is either B or D

Use the distributive property
write an equivalent expression.
26 + 2.9 =

Answers

28.9 I think is this, I hope this help

The lengths of a trapezoid are represented by 2x + 3 , 4x - 5, 3x + 2, and 5x - 9. What is the perimeter of the trapezoid expressed as a binomial in terms of x?
Answers
14x -9
14x^4 - 9
120x^4 + 270
120x + 270
I need this answer ASAP please!

Answers

Answer: 120x4+270

Step-by-step explanatio:

Umm so I’m only in 8th grade and this was on my test so the 4 is an exponent

If the following ratios are proportional, what is the missing quantity? 10.2/3 ; 17/5; _____/11; 57.8/17

Answers

Answer:

37.4

Step-by-step explanation:

Use one of ratios to find the missing quantity:

17/5 = x/11

Cross-multiply:

5x = 17*11x = 17*11/5x = 37.4

Solve for x :
7x = 2

Answers

Answer:

x=2/7

Step-by-step explanation:

I need help please!!!!

Answers

Answer:

both A and B must be true

Step-by-step explanation:

AD is perpendicular to DC and AD is parallel to BC

3 - 2(b - 2) = 2 - 7b
b =


Please show work

Answers

3- 2b +4 = 2-7b
3+4 = 2 - 5b
7 = 2 -5b
5 = -5b
-5b /-5 = -1
b = -1


please help me i need to solve for RS

Answers

Answer:

        RS = 47

Step-by-step explanation:

RV=VU and SW=WT    ⇒    [tex]VW=\dfrac{RS+UT}{2}[/tex]

So:

[tex]3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}\\\\3x+5=4x-11\\^{\qquad-5\qquad-5}\\3x=4x-16\\^{-4x\qquad-4x}\\-x=-16\\^{\div(-1)\quad\div(-1)}\\x=16\\\\RS=2x+15=2\cdot16+15=32+15=47[/tex]

What is the area of the figure below??? Giving first answer brainliest as long as they have an explanation! Worth 10pts!!

Answers

Answer:

28inch^2

Step-by-step solution:

Rectangle:

[Length x Breadth]

5 + 3 = 8inch

8 x 2.5 = 20inch^2

Right Triangle:

[1/2 x Base x Height]

1/2 x 5 x 2 = 1/2 x 10

= 5inch^2

Left Triangle:

[1/2 x Base x Height]

1/2 x 3 x 2 = 1/2 x 6

= 3inch^2

20 + 5 + 3 = 28inch^2

HEEEEEELP PLEASE. brainliest

Answers

it would be 5 root 2

WILL MARK BRAINLIEST TO THE BEST ANSWER. I NEED ANSWERS FOR ALL OF THE QUESTIONS. I EVEN NEED TO KNOW HOW YOU SOLVED IN. (multiply, subtract exponents, etc) THANKS.

Answers

Answer:

a. 10,000

b. 81

c. -8

d. 25

e. 1236

f. 8/27

g. 81/625

h. 1/32

i. 1/36

j. 1

k. 8

Step-by-step explanation:

How I got each of these answers:

a. 10^4

10 * 10 * 10 * 10

100 * 10 * 10

1000 * 10

10000

b. -3^4 (two negatives equal a positive)

-3 * -3 * -3 * -3

9 *-3 * -3

-27 * -3

81

c. -2^3

-2 * -2 * -2

4 * -2

-8

d. -5^2

-5 * -5

25

e. -6^4

-6 * -6 * -6 * -6

36 * -6 * -6

-216 * -6

1236

f. (2/3)^3

(2*2*2)/(3*3*3)

(4*2)/(9*3)

8/27

g. (-3/5)/4

(-3*-3*-3*-3)/(5*5*5*5)

(9*-3*-3)/(25*5*5)

(-27*3)/(125*5)

81/625

h. (1/2)^5

1/(2*2*2*2*2)

1/(4*2*2*2)

1/(8*2*2)

1/(16*2)

1/32

i. (-1/6)^2

(-1 * -1)/(6*6)

1/36

j. (2/5)^9 / (2/5)^9

(2^9)/(5^9) / (2^9)/(5^9)

(512/1953125) / (512/1953125)

1

k. -24t^4/-3t^4

(-24t^4)^1 * (1/-3t^4)

(-24)^1 * (t^4)^1 * (1/-3) * (1/t^4)

(-24)^1 * (1/-3)(t^4) * (1/t^4)

(-24)^1 * (1/-3) * t^4 * t^4(-1)

(-24)^1 * (1/-3) * t^4 * t^-4

(-24)^1 * (1/-3) * t^0

-24 * -1/3 * t^0

8t^0

8 * 1

8

I'm so stuck rn.. AHHHHHHHHHHHHHH

Answers

Given:

5) The expressions are

[tex]16x+24y+32[/tex]

[tex]8(2x+3y+4)[/tex]

[tex]4(4x+24y+8)[/tex]

7) The expression is

[tex]7(3-x)+15x[/tex]

To find:

5) Whether the given expressions are equivalent.

7) simplified form of given expression.

Solution:

5)

First expression is

[tex]16x+24y+32[/tex]

Second expression is

[tex]8(2x+3y+4)[/tex]

[tex]=8(2x)+8(3y)+8(4)[/tex]

[tex]=16x+24y+32[/tex]

Third expression is

[tex]4(4x+24y+8)[/tex]

[tex]=4(4x)+4(24y)+4(8)[/tex]

[tex]=16x+96y+32[/tex]

Therefore, the simplified forms of given expressions are [tex]16x+24y+32,\ 16x+24y+32,\ 16x+96y+32[/tex] respectively. It means only first and second expressions and equivalent.

7)

We have,

[tex]7(3-x)+15x[/tex]

[tex]=7(3)+7(-x)+15x[/tex]

[tex]=21-7x+15x[/tex]

[tex]=21+8x[/tex]

Therefore, the simplified form of given expression is [tex]21+8x[/tex].

Given:

5) The expressions are

7) The expression is

To find:

5) Whether the given expressions are equivalent.

7) simplified form of given expression.

Solution:

5)

First expression is

Second expression is

Third expression is

Therefore, the simplified forms of given expressions are  respectively. It means only first and second expressions and equivalent.

7)

We have,

Therefore, the simplified form of given expression is .

Calico Carpets charges $36 per square yard for carpeting, and an additional fee of $125 for installation. Chestnut Carpets charges $40 per square yard for the same carpeting and an additional installation fee of $90

Answers

Answer:

36x + 125 =?

40x + 90 =?

Step-by-step explanation:

Melanie has to determine how much wrapping paper she will need to wrap, her daughter, Ayani's birthday gift. If the box is 3 inches high, 14 inches wide, and 20 inches long, how much wrapping paper is needed to cover the box. (Do not take overlap of paper into consideration).

Answers

Answer:

37

Step-by-step explanation:

What is the value of A shown in the equation?

7 x 9 = (1 x 10)-(7 x A)


Answers

Answer:

A= -53/7

Step-by-step explanation:

1 x 10 -1 x 7 x A=7 x 9

10-7A =7 X 9

10-7A=63

-10 -10

-7A=53

A= -53/7

Tout teacher las disableu nislali malking Tour airs will apped alle ule uue date
In a class of 34 students, 19 of them are girls.
What percentage of the class are girls?
Give your answer to 1 decimal place.

Answers

9514 1404 393

Answer:

  55.9%

Step-by-step explanation:

The percentage is found by multiplying the fraction by 100%.

  19/34 × 100% ≈ 55.9%

About 55.9% of the class are girls.

PLS HELP GIVE BRAINLIEST
An electric company charges Jerome $0.05 per kilowatt-hour of energy he uses in his house. If Jerome was charged $36 by the electric company, how many kilowatt-hours of energy did Jerome use?
A. 0.0014
B. 1.8
C. 180
D. 720

Answers

Answer:

B 1.8

Step-by-step explanation:

(Help needed pls) Ricks age is 5 years less than three times Jons age. Which equation represents Ricks age (r)
A) j= 3j + 5
B) r= 3j - 5
C) r= 5j - 3
D) j= 3 x 5 = r

Answers

Answer:

It would be B

Step-by-step explanation: 3j represents johns age x 3 - 5 years.

Which is the equation that ultimately represents ricks age.

can someone help me pls What operations can be applied to both sides of the inequality 2 <10 so that it remains true?
Select all that apply.
a. Add 4
b. divide by 8
c. multiply by - 1
d. divide by -2
e. add -3
f. multipy by 2

Answers

Answer:

I have concluded using my big brain that the correct answers are a, b, e, and f

Can someone help me please .

Answers

P _< 172 should be correct
I’m pretty sure it’s D
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