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4 years ago

What is the value of z?

Mathematics

2 answers:

JulsSmile [24]4 years ago

5 0

Answer: w = 110° x = 83° y = 87° z = 97°

<u>Step-by-step explanation:</u>

∠(x - 13) and ∠w form a linear pair so their sum is equal to 180°

x - 13 + w = 180 → w = -x + 193

∠(x + 10) and ∠y form a linear pair so their sum is equal to 180°

x + 10 + y = 180 → y = -x + 170

∠x and ∠z form a linear pair so their sum is equal to 180°

x + z = 180 → z = 180 - x

∠x and ∠y and ∠w are the angles of a triangle so their sum equals 180°

x + y + w = 180

x + (-x + 170) + (-x + 193) = 180 Substitution

-x + 263 = 180 Add Like Terms

-x = -83 Subtracted 263 from both sides

x = 83 Divided both sides by -1

w = -x + 193 y = -x + 170 z = 180 - x

w = -83 + 193 y = -83 + 170 z = 180 - 83

w = 110 y = 87 z = 97

worty [1.4K]4 years ago

3 0

Answer:

z= 120, ∠x= 60°, ∠y= 50°, ∠w= 70°

Step-by-step explanation:

Please see the attached pictures for the full solution.

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<h3>Normal Probability Distribution</h3>

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Inupt values for y and evaluate to get y values
(x,y)

if x=0
y=3(0)-1
y=0-1
y=-1
(0,-1)

if x=1
y=3(1)-1
y=3-1
y=2
(1,2)

if x=2
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y=6-1
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if x=3
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look for the points
(0,-1) (1,2) (2,5) (3,8)

B

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4 years ago