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kipiarov [429]
2 years ago
15

In Triangle A B C, what is the value of x? Triangle A B C. Angle A is (10 x minus 10) degrees, angle B is (8 x) degrees, angle C

is (10 x + 8) degrees. 5.5 6.5 55 65

Mathematics
2 answers:
Jlenok [28]2 years ago
7 0

Answer:

x = 6.5

Step-by-step explanation:

In a triangle, the sum of the measures of the angles equals 180 deg.

8x + 10x - 10 + 10x + 8 = 180

28x -2 = 180

28x = 182

x = 6.5

mr_godi [17]2 years ago
4 0

Answer:

x = 6.5

Step-by-step explanation:

The sum of the angles of a triangle is 180

8x+ 10x-10 + 10x +8 = 180

Combine like terms

28x -2 = 180

Add 2 to each side

28x-2+2 = 180+2

28x=182

Divide by 28

28x/28 = 182/28

x =6.5

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1 and 2 are complementary angles. 1 and 3 are vertical angles. If
Marizza181 [45]

If angle 1 and angle 2 are <u>complementary, </u>then they add up to 90 degrees. We are given that angle 2 equals 52 degrees.

So we subtract and get our answer:

38

That's NOT the final answer.

The next step is:

Angle 1 and angle 3 are vertical angles.

Vertical angles are congruent.

So if angle 1 is 38, then angle 3 is also 38.

Now, supplementary angles add up to 180 degrees.

So that's the answer:

180-38=142

142 is the supplement of angle 3.

Hope it helps! :)

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***ROSALIND***

8 0
2 years ago
What are the different types of gons. (hexagon, octagon, decagon)
Colt1911 [192]
There could be one more pentagon 

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3 years ago
At a book sale,your sister uses an equal number of quarters and nickels to buy a $1.20 book. How many quarters and how many nick
REY [17]

Answer:4 quarters and 4 nickels

Step-by-step explanation:

6 0
2 years ago
Given the diagram below find x, and the measure of
Sophie [7]

Answer:

8, 40 , 50

Step-by-step explanation:

the measure of A is 90°

so 5x + 7x - 6 = 90

now.. to find the x

5x + 7x - 6 = 90

5x + 7x = 90 + 6

12x = 96

x = 96/12

x = 8

so the measure of angle A1 is (5*8) = 40

the measure of angle A2 is (7*8-6) = 50

finaly the angle A is (50+40) = 90

8 0
3 years ago
What values of k will make the line containing points (k,3) and (-2,1) parallel to the line through (5, K) and (1,0)
rjkz [21]

Answer:

k = -4 or 2

Step-by-step explanation:

For the lines to be parallel, the lines would need to be the same slope. This means to find the slope of each we would take the difference of the rise over the run.

\frac{1-3}{-2-k}=\frac{-2}{-2-k}

and

\frac{0-k}{1-5}=\frac{-k}{-4}

To find K, set them equal.

\frac{-2}{-2-k} = \frac{-k}{-4}\\-k(-2-k) = -2*-4\\2k+k^2=8\\k^2+2k-8=0

Factor the quadratic and solve for K.

(k+4)(k-2)=0

k+4=0 so k=-4

k-2=0 so k=2

4 0
3 years ago
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