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NISA [10]
3 years ago
9

Tapanga drew triangle XYZ on her paper the measure of angle X was 80 degrees angle y was congruent to angle Z what was measure o

f angle Z
Mathematics
1 answer:
Ghella [55]3 years ago
3 0

Answer:

50degrees

Step-by-step explanation:

The sum of angle in the triangle XYZ is 180degrees, hence;

<X + <Y + <Z = 180

Given

m<X = 80degree

m<Y = m<Z

Required

m<Z

Substitute the given angle

80 + m<Z + m<Z = 180

80 + 2m<Z = 180

2m<Z = 180 - 80

2m<Z = 100

m<Z = 100/2

m<Z = 50degrees

Hence the measure of angle Z is 50degrees

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Step-by-step explanation:

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4 0
3 years ago
4. Which of the following lines is perpendicular to y = -2X + 8?
Alenkinab [10]

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.

That is to say:

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We have the following equation:

y = -2x + 8

So:

m_ {1} = - 2

Thus:

m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- 2}\\m = \frac {1}{2}

Thus, a line perpendicular to the given line must have slope m = \frac {1} {2}.

Option A:

x + 2y = 8\\2y = -x + 8\\y = - \frac {1} {2} x + 4

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Option B:

x-2y = 6\\2y = x-6\\y = \frac {1} {2} x-3

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Option C:

2x + y = 4\\y = -2x + 4

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Option D:

2x-y = 1\\y = 2x-1

It is not perpendicular!

The correct option is option B

ANswer:

Option B

5 0
3 years ago
Find the value of x in The parallelogram.
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Step-by-step explanation:

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8 0
2 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Hope this helps you!

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