A convex pentagon has the following measurements for its interior angles: (x-8), (3x-11), (x+8), (x), and (2x+7). Which of the following could be measurements for interior angles of the pentagon? Select all that apply.A: 60

B: 68

C: 76

D: 108

E: 193

F: 540

Answers

Answer 1

Answer:

Answer: A, B, C, E

Explanation:

The sum of the interior angles of a polygon can be determined by the formula: (n - 2)180 ; where n represents the number of sides. Since a pentagon has 5 sides, then (5 - 2)180 = 540

x - 8

3x - 11

x + 8

2x + 7

8x - 4 = 540

+4 +4

8x = 544

÷8 ÷8

x = 68

**********************

x - 8 ⇒ 68 - 8 = 60 (A)

3x - 11 ⇒ 3(68) - 11 = 193 (E)

x + 8 ⇒ (68) + 8 = 76 (C)

x ⇒ (68) (B)

2x + 7 ⇒ 2(68) + 7 = 143

Answer 2

Answer:

The sumof the pentagon's interior angles is: 540°

According to the Question, we have: (x-8)+(3x-1)+(x+8)+x+(2x+7)=540

x-8+3x-11+x+8+x+2x+7=540

x+3x+x+x+2x=540+8+11-8-7

8x=544

x=544/8=68

(x-8)=68-8=60 (choose letter A)

(3x-11)=3*68-11=193 (choose letter E)

(x+8)=68+8=76 (choose letter C)

(x)=68 (choose letter B)

(2x+7)=2*68+7=143 (cannot select any letter)

In short, we choose letter A, B, C and E.

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Alison's car travels at 65 miles per hour. How far does she travel in 4.5 hours?

Answers

Answer:

292.5 miles

Step-by-step explanation:

Ok so what you want to do is multiply 4.5 and 65 together.

She travels at 65 miles per hour and she travels for 4.5 hours

How much ft is in 3 miles

Answers

Hey Giraffe111!
5280 ft= 1 mile
x ft= 3 mile
5280*3=15840 ft!
I hope this helps;)

The price of a box of 2-dozen gum balls is 4.80. Bridget wants to buy 5 gumballs . What will she have to pay ?

Answers

2 dozen = 12+12 which equals to 24
4.8/24=0.2
But since she wants five
0.2 x 5 = 1
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Answer:

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M + 12 = 10 solve equation

Answers

OK. Watch carefully, as I guide you through the mysterious and
complex methods of solution, taught to me from the ancient
sacred scrolls of Tibet. It won't be easy, but I'll go slow so that
neither of us gets lost along the path, to the ultimate wisdom.
Remember ... the "solution" is the number that 'M' must be, in order
to make the equation a true statement. Ready ? Here we go.
Fossen your seat belt, it's goin to be eh boompy rade, mon:

The equation. You said that M + 12 = 10

Subtract 12 from each side: M = -2 .

Were you able to follow all of that ?

A football field is 300 ft x 160 ft . If A coach ask his players to run from one corner to the opposite corner diagonally, how far will they run