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frutty [35]
3 years ago
14

Find the exterior angle of angle c.

Mathematics
1 answer:
Bingel [31]3 years ago
4 0

Answer:

Step-by-step explanation:

This triangle is a polygon. By definition, all the exterior angles of ANY polygon add up to equal 360 degrees. So we add up all the exterior angles and solve for x. That's the first step.

7x - 2 + 9x - 31 + 4x + 33 = 360

Combining like terms gives us

20x + 0 = 360 or simply

20x = 360 so

x = 18

In order to find the value of the angle exterior to angle C, we sub 18 in for x:

7(18) - 2 = 124

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14. 
Angles 4 and 6 are supplementary, because they are on the same line. Supplementary angles add up to 180 degrees, and a line must be 180 degrees.

15.
Angles 1 and 8 are congruent, because they are alternate exterior angles

16.
m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
m = 5 / -1
m = -5

17.
m = 3 - 3 / 7 - (-5)
m = 0 / 12
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18.
m = 1 - (-2) / 5 - (-4)
m = 3 / 9
m = 1/3

19.
A = (0, 3) - B = (3,0)
m = 0 - 3 / 3 - 0
m = -3 / 3
<em>m = -1</em>
C = (0, -2) - D = (4, 2)
m = 2 - (-2) / 4 - 0
m = 4 / 4
<em>m = 1</em>
Perpendicular, because the slopes are opposite reciprocals.

20.
E = (1, 2) - F = (0, 0)
m = 0 - 2 / 0 - 1
m = -2 / -1
<em>m = 2</em>
G = (1, -3) - H = (3, 0) 
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Neither, because the slopes are different.

21.
I = (0, 1) - J = (2, -4)
m = -4 - 1 / 2 - 0
<em>m = -5/2</em>
K = (-1, -2) - L = (4, 0)
m = 0 - (-2) / 4 - (-1)
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22.
M = (-2, 2) - N = (2, 2)
Horizontal line
<em>m = 0</em>
O = (3, 0) - P = (-3, 0)
Horizontal line
<em>m = 0
</em>Parallel, because the slopes are the same.
<em>
</em>23.
Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
Angle 1 is congruent to angle 3 because of the vertical angle theorem.
Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.
7 0
3 years ago
Read 2 more answers
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Answer:

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Q Searchmatics Gr 7)I need 4 cups of flours and 2 cups of sugar to make a cake. How many cups of sugar do I need if Ihave 12 cup
Ede4ka [16]

You will need 6 cups of sugar.

Step - by - Step Explanation

What to find? <em>The number of cups of sugar needed to make a cake with 12 cups of flour.</em>

<em />

Given:

Cups of flours = 4

Cups of sugar = 2

Cups of flour =12

Let x be the number of cups of sugar needed to make a cake with 12 cups of flour.

Using proportion;

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Cross - multiply

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Divide both-side of the equation by 4

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x =6

Hence, you will need 6 cups of sugar.

6 0
1 year ago
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