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antiseptic1488 [7]
3 years ago
13

I need to solve for x, anyone out there know how to do it?

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0

Answer:

61°

Step-by-step explanation:

First, we need to find what type of shape this is. Since it has 5 sides, it's a pentagon.

Now we need to figure out the sum of all interior angles in a pentagon. The sum of all interior angles in a pentagon is 540°

We can easily solve for x now by adding all angles up.

107°+144°+138°+90°+x°=540°

479°+x°=540°

x°=61°

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Look at the triangular prism below. Each triangular face or the
Goryan [66]

Answer:

The volume of the triangular prism is V=72\ cm^3

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

V=BL

where

B is the area of the triangular face

L is the length of the prism

step 1

Find the area of the triangular face

The area of a triangle is equal to

B=\frac{1}{2} bh

we have

b=3\ cm\\h=4\ cm

substitute

B=\frac{1}{2}(3)(4)=6\ cm^2

step 2

Find the volume

we have

B=6\ cm^2

L=12\ cm

substitute in the formula of volume

V=6(12)

V=72\ cm^3

7 0
3 years ago
Read 2 more answers
How did my teacher get 11 for #17
wel
Complementary angles ⇒ the angles add up to 90°

∠A and ∠B are complementary ⇒ ∠A + ∠B = 90°

∠A + ∠B = 90°

Plug in the values for ∠A and ∠B:
(3x - 8) + (5x + 10)  = 90

Open the brackets:
3x - 8 + 5x + 10 = 90

Combine like terms:
8x + 2 = 90

Subtract 2 from both sides:
8x = 88

Divide both sides by 8:
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5 0
3 years ago
Read 2 more answers
1) the sum of three consecutive integers even is 3,2,1. find the integers.
BabaBlast [244]

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

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