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4 years ago

Find the value of x.

Mathematics

1 answer:

NikAS [45]4 years ago

3 0

Answer:

Step-by-step explanation:

The polygon above has 7 sides to find x we have to find the sum of it's interior angles which is given by

(n - 2) × 180°

where n is the number of sides

Since it has 7 sides the sum of it's interior angles is

( 7 - 2) × 180 = 5 × 180 = 900°

So we have

x+139+140 + 125 + 116+152 + 2x + 143 = 900

3 x + 815 = 900

3x = 900 - 815

3x = 85

Divide both sides by 3

x = 28.3°

Hope this helps you

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2x-y+52=16<br> X-6у +2z=-9<br> 3x+4y- z=32

Archy [21]

The solution to the given system of equation is (3, 3, 3)

<h3>Solving system of equations</h3>

Given the following system of equation expressed as:

2x-y+5z=16

X-6у +2z=-9

3x+4y- z=32

Multiply equation 2 by 2 to have:

2x-y+5z=16

2X-12у +4z=-18

Subtract

10y+z = 34 .........4

Similarly

3X-18у +6z=-27

3x+4y- z=32

Subtract

-22y+7z = -59 ........... 5

Equate 4 and 5

10y+z = 34 .........4 * 7

-22y+7z = -59 ........... 5 * 1

_______________________

70y+7z = 238

-22y+7z = -59

Subtract

92y = 297

y = 3

Recall that

10y+z = 34

10(3) + z = 34

z = 3

Since x - 6y +2z = -9

x-6(3)+2(3) = -9
x - 18 + 6 = -9
x = 3

Hence the solution to the given system of equation is (3, 3, 3)

Learn more on system of equation here: brainly.com/question/25976025

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4 0

2 years ago

Amy, a senior, bought a car last year so that she could drive to school on the days when she needed to stay after class for prac

Kisachek [45]

Answer:

25.8%

Step-by-step explanation:

We have been given that Amy spent $155 last year for gas. This year she spent $195. We are asked to find the inflation rate.

We will use inflation rate formula to solve our given problem.

$\text{Inflation rate}=\frac{\text{CPI}_{x+1}-\text{CPI}_{x}}{\text{CPI}_{x}}\times 100$

$\text{Inflation rate}=\frac{195-155}{155}\times 100$

$\text{Inflation rate}=\frac{40}{155}\times 100$

$\text{Inflation rate}=0.2580645161290323\times 100$

$\text{Inflation rate}=25.80645161290323\\\\\text{Inflation rate}\approx 25.8$

Therefore, the inflation rate is approximately 25.8%.

4 0

4 years ago

The distance a spring will stretch varies directly with how much weight is attached to the spring if a spring stretches 11 inche

Studentka2010 [4]

Answer:

the weight that attached to the spring is 9.5 inches

Step-by-step explanation:

The computation is shown below:

inches per pound is

= 11 inches ÷ 75 pounds

Now for 65 pounds, it would be

= 11 inches ÷ 75 pounds × 65 pounds

= 9.5 inches

Hence, the weight that attached to the spring is 9.5 inches

The same is relevant and considered

4 0

3 years ago

What is the answer to -28 + 38

anzhelika [568]

What if I wrote + 38 - 28 .

Would you be able to solve it that way ?

They're both the same number.

6 0

3 years ago

An elevator can hold at most 2500 pounds if 10 adults with an average mass of 80 kg each get on the elevator can elevator carry

Tomtit [17]

The elevator can carry the adults with average mass of 80 kg.

Step-by-step explanation:

Given

Capacity to weight that can be hold by elevator = 2500 pounds

Average mass of one adult = 80 kg

Average mass of 10 adults = 80*10 = 800kg

We need to have the weights in same unit in order to determine whether the elevator can carry the adults or not.

We will convert the weight of 10 adults into pounds.

1 kg = 2.205 pounds

800 kg = 800*2.205 = 1764 pounds

Therefore,

1764 pounds < 2500 pounds

The elevator can carry the adults with average mass of 80 kg.

Keywords: conversion, multiplication

Learn more about multiplication at:

#LearnwithBrainly

3 0

4 years ago