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Nana76 [90]
3 years ago
11

PLEASE HELP I DONT UNDERSTAND!!

Mathematics
2 answers:
slega [8]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

3x and 144 are adjacent angles on a straight line and sum to 180°

3x + 144 = 180 ( subtract 144 from both sides )

3x = 36 ← value of 3x

divide both sides by 3

x = 12

and

2y - 5 and 95 are vertically opposite angles and are congruent, so

2y - 5 = 95 ← value of 2y - 5

add 5 to both sides

2y = 100 ( divide both sides by 2 )

y = 50

Then

x + y = 12 + 50 = 62

choli [55]3 years ago
4 0

Answer:

3x = 36; 2y - 5 = 95; x + y = 62

Step-by-step explanation:

Supplementary angles add up to 180

180 = 3x + 144

36 = 3x

x = 12

Vertically opposite angles are equal

95 = 2y - 5

100 = 2y

y = 50

x + y = 12 + 50 = 62

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The solution to given system of equations y = 3x - 9 and y = -2x + 16 are (x, y) = (5, 6)

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Given that, we have to solve each system by substitution method

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Substitute x = -3 in eqn 1

y = 5( - 3) + 22

y = -15 + 22

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Solution:

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Therefore, the length of KJ is 6 units.

Note: In the given question we need to find KL instead of KJ because KJ is already given.

According to the tangent secant theorem:

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