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zhannawk [14.2K]
4 years ago
11

Find x, y and z.

Mathematics
1 answer:
emmasim [6.3K]4 years ago
8 0

Answer:

<u>The values for x = 56, for y = 28 and z = 64</u>

Step-by-step explanation:

1. Let's review the information given for answering the question correctly:

∠2y° and ∠56°are alternate interior angles

∠x °and ∠2y° are alternate interior angles

<u>2. . Let's find the values of x, y and z.</u>

2y = 56

<u>y = 28</u>

Therefore,

∠x ° = ∠2y°

∠x ° = ∠56°

<u>x = 56 </u>

Let's recall that all the interior angles of a triangle will always add up to 180°, thus:

∠z° = 180 - 60 - 56

∠z° = 180 - 116

<u>∠z° = 64°</u>

<u>z = 64</u>

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Natali5045456 [20]

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Please help as soon as possible
Luda [366]
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EQUATION 2: 3x+y=4

STEP 1:
solve for one variable in equation 1

x - y= 12
add y to both sides

x= 12 + y


STEP 2:
use x value from step 1 and substitute in equation 2

3x + y= 4

3(12 + y) + y= 4
multiply 3 by parentheses

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multiply inside parentheses

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combine like terms

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subtract 36 from both sides

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STEP 3:
substitute y value from step 2 into either equation

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CHECK:
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ANSWER: The x value is 4 and the y value is -8.

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Answer:

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Step-by-step explanation:

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