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2 years ago

Find the value of x. Then find the angle measures of the polygon.

Mathematics

2 answers:

BartSMP [9]2 years ago

6 0

Answer: x = 35

Final answer: 40, 105, 35.

Answer: x = 35

So, it would be 40, 3(35), and 35.

Final answer: 40, 105, 35.

First, we know that sum of angle measure 180.

So, algebraically, we can put out this equation.

40 + 3x + x = 180

Now we solve

Step-by-step explanation:

Given: 40+ 3x + x = 180

The whole goal is to isolate x. Remember DCMAM: Distribute, combine, move variable to one side to another, add/subtract, divide/multiply

There is no distribution, so move on.

We do have to combine 3x with x

40 + 4x = 180.

Now move 40 to the right side.

40 + 4x = 180

-40 -40

4x = 140

Now divide 140 by four

4x/4 = 140/4

x = 35

So, it would be 40, 3(35), and 35.

Final answer: 40, 105, 35.

Hope this helps.

bogdanovich [222]2 years ago

4 0

Answer:

X=140/3

Step-by-step explanation:

180-40=140, 140 divided by 3 is 140/3, so 40+3x140/3=180

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Please help me to find the answer Y=2X 3X+4Y=22 Y=2X 3X+4Y=22

RSB [31]

<h3>System of equations.</h3>

$\left\{\begin{array}{ccc}y=2x&(1)\\3x+4y=22&(2)\end{array}\right$

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Substitute the value of x to (1):

$y=2\cdot2\\\boxed{y=4}$

Solution:

$\huge\boxed{\left\{\begin{array}{ccc}x=2\\y=4\end{array}\right}$

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2 years ago

The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm.

scoundrel [369]

Using the formulas here: http://www.1728.org/diamform.htm

A) Volume = π • r² • height
radius^2 = Volume / (PI*height)
radius^2 = 12,566.4 / (PI * 8)
radius^2 = 500.0011692175 
radius = 22.3607059195 
radius (rounded) = 22.4 cm

B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base = 1,570.7963267949 
Area of base (rounded) = 1,570.8 square cm

C) lateral area = 2 • π • r • height 
lateral area = 2 • π • 22.4 * 8
lateral area = 1,125.9468070466 
lateral area = 1,125.9 square cm

D) Total Surface Area = (2 • π • r²) + (2 • π • r • height)
Total Surface Area = 2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)

Total Surface Area = ( 2 * 1,570.8 ) + (1,125.9)
Total Surface Area = 3,141.6 + 1,125.9
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3 years ago

A stock market fell 75 points over a period of 5 days. What was the average change in the stock market each day?

seropon [69]

Answer:

15 points

Step-by-step explanation:

Divide the 75 points by the five days to find the average points lost per day.

75 points / 5 days = 15 points per day

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3 years ago

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Slav-nsk [51]

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3 years ago

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lys-0071 [83]

Answer:

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Step-by-step explanation:

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3 years ago