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3 years ago

A pentagon has angle measures of 12x°, 7x°, 16x°, 9xº, and 10x°. Find the value of x.

Mathematics

1 answer:

Musya8 [376]3 years ago

3 0

Answer:

Step-by-step explanation:

one interior angle in a pentagon is 108^o.

5 interior angles are 540^o.

If we add 12+7+16+9+10, we get 54x=540^o

That means x=10

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alexandr1967 [171]

B..................................

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3 years ago

The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What

solmaris [256]

<h3>Solution</h3>

Given :-

Perimeter of rectangle = 72 cm
The length is 3 more than twice the width.

Find :-

Dimensions of rectangle

<h3 /><h3>Explantion</h3>

Using Formula

$\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}$

Let,

Length of Rectangle = x cm
Breadth of Rectangle = y cm

According to question,

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

Again,

==> x = 2y + 3

==> x - 2y = 3__________________(2)

Subtract equ(1) & equ(2)

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

keep in equ(1)

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3>Hence</h3>

Length of Rectangle = 25 cm
Width of Rectangle = 11 cm

<h3 />

7 0

3 years ago

please help me to solve this word problems leading to quadratic equation: A girl is 6 years younger than her brother. the produc

vova2212 [387]

Answer:

Brother is 70.5 and sister is 64.5

Step-by-step explanation:

you will need to set up a simple equation and give out variables.

Girls age = 6-x

Brother's age= x

the you will take those 2 and add them and place them equal to 135:

6-x+x=135

6-2x+6=135+6

The 6 cancels out

2x=141

2x/2=141/2

x=70.5

The brother's age would be 70.5 then and the girl's would be 64.5

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3 years ago

Pizza Perfection sold 93 pizzas on Monday, 67 pizzas on Tuesday, 78 pizzas on Wednesday, 44 pizzas

Nezavi [6.7K]

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C is your answer.

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3 years ago

Read 2 more answers

One number exceeds another by 15. the sum of the numbers is 69. what are the numbers

alex41 [277]

Hey there!!

Let us take the first number as ' x '

According to the question

The second number exceeds the first number by 15

hence, the second number = x+15

The sum of both the numbers = 69

which means

x + x + 15 = 69

2x+15 = 69

Subtracting by 15 on both sides

2x + 15 - 15 = 69 - 15

2x = 54

dividing by 2 on both sides

x = 27

first number = 27

second number = 27 + 15

= 42

Hope my answer helps!

7 0

3 years ago