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ale4655 [162]
2 years ago
14

What is the sum of the interior angles of the polygon shown below

Mathematics
1 answer:
DanielleElmas [232]2 years ago
7 0

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with  n  sides is

180(n - 2)  degrees.

In this case,  n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides.  Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).

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If the slope is 2 and the line goes through (3,-3) what is the equation?
motikmotik

Answer:

y = 2x -9

Step-by-step explanation:

To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.

For instance, the base equation here is

y = 2x

This line passes through the point (0, 0).

You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.

y = 2 * 3

A point on the line of y = 2x would thus be (3, 6).

To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:

y = 2x -9

6 0
3 years ago
The heights of a maple tree and a cherry tree have a ratio of 5:2. If the maple tree grew 20 cm and 20 cm was cut off the top of
elena-14-01-66 [18.8K]
Let x be the <span>heights of a maple tree and y be the height of the cherry tree.
We know: 
</span>\frac{x}{y} = \frac{5}{2}
<span>The new ratio is obtained like this:
</span>\frac{x+20}{y-20} = \frac{3}{1}.
From the above equation we get x= (y-20)\frac{3}{1} -20.
then \frac{ (y-20)\frac{3}{1} -20}{y} = \frac{5}{2}
Solving the above equation for y we get: y=160
So x=400
So the first tree is (400-160=240) more taller than cherry tree. 
7 0
3 years ago
Jose earned 50 points in a video game. He lost 45 points, earned 87 points, then lost 25 more points. Enter and evaluate an expr
Olin [163]

Answer:

50-45+87-25=67

Step-by-step explanation:

earning is + so +50

losing is - so  -45

+87

-25

7 0
3 years ago
Given the linear equation, 2x +4= 6, find the rate, initial value, and specific value.
kap26 [50]

Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.

Step-by-step explanation:

for a linear function y = a*x + b

Rate = coefficient that is multiplicating the variable. ( a in this case)

Initial value = value taken of y, when we have x = 0 (b in this case)

Specific value = value forced on y.

In this case, we have:

y = 6 = 2*x + 4

Then:

The coefficient multiplicating x is 2, so the rate is 2.

The constant term is 4, so the initial value is 4.

The value equal to y is 6, so the specific value is 6.

The correct option is B.

4 0
3 years ago
Line___is a transversal.
iVinArrow [24]

Answer:

C

Step-by-step explanation:

Line A is Parallel to Line B

Line C intersects Line A and B

4 0
3 years ago
Read 2 more answers
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