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jek_recluse [69]
4 years ago
8

The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.

Mathematics
1 answer:
leva [86]4 years ago
8 0

Let's set the measure of each angle equal to 540 degrees.

4x + 4x + 5x + 2 + 96 + 5x - 8 = 540

Combine like terms.

18x + 90 = 540

Subtract 90 from both sides.

18x = 450

Divide both sides by 18

x = 25

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WARRIOR [948]

when you get this kind of exercise, you just need to check which equations resemble the graph

A. y= 6-4x

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B. y= -4x+8-2

y= -4x+6

C. y= -4x-8-1

y= -4x-9

D. y= -4x+6

-> A, B and D are the same equations

-> the easiest way to find which graph is correct (A/B/D OR C), is to create the graph yourself using the drawn graph:

y= ax+b

a= negative (the line goes down)

to find the a you go 1 step to the left and look which point of the graph has the same x. in this exercise it's when y=4

a=-4

b= the y-coordinate of the point where the graph cuts the y-axis.

b=6

-> graph shown in picture is y= -4x+b

-> graph A/B/D is correct

-> C is does not represent this line

7 0
2 years ago
What is the slope of the line between (3,-4) and (-2,1)?
statuscvo [17]

Answer:

slope = - 1

Step-by-step explanation:

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m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (- 2, 1)

m = \frac{1+4}{-2-3} = \frac{5}{-5} = - 1

7 0
3 years ago
‼️need help pleaseee
ICE Princess25 [194]
If we use the formula, which is y = mx + b, Then it would give us y = 4x - 10! Hope this helped!
4 0
3 years ago
The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 1/4
Marrrta [24]

Answer:

4 1/4 gallons

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The amount of gas in the tank is 1/4 of 17 gallons.

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6 0
4 years ago
A truck whose bed is 8 feet long,5 feet wide and 3 feet high is delivering sand for a sand sculpture competition. How many trips
Alexus [3.1K]
First, let's see how much sand the truck can carry in one trip.  We do this by finding the volume of the bed.  We do this by multiplying the length*width*height.  This is equal to 8*5*3 = 120 cubic feet.

Now, we divide 300 by 120 to see how many trips the truck will need to make.  This is equal to 2.5.  Because the truck can not make half a trip, the truck will need to make 3 trips.
5 0
4 years ago
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