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Mrrafil [7]
3 years ago
14

Below are two parallel lines with a third line intersecting them

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
5 0

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Paraphin [41]3 years ago
4 0

Answer:

x=66°

Step-by-step explanation:

Solve for x:

If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:

∠1+∠2=180°

Substitute known values:

x+114=180

Subtract 114 from both sides to isolate x:

x+114-114=180-114\\\\x=66

The value of x is 66°.

:Done

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Answer: 25w+54

Step-by-step explanation:

Distribute:

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Combine Like Terms:

=7w+18w+54

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Answer:

=25w+54

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Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of
ollegr [7]

<em><u>Question:</u></em>

Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?

<em><u>Answer:</u></em>

x-coordinate of Q is 5

<em><u>Solution:</u></em>

Given that,

Point R divides in the ratio 1 : 3

Which means,

Point R divides the line segment PQ internally

The x-coordinate of the point which divides the line segment in ration m:n internally is given as:

x=(\frac{mx_{2}+nx_{1}}{m+n} )

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m : n = 1 : 3

m = 1

n = 3

Therefore,

-1 = \frac{1 \times x_2 + 3 \times -3}{1+3}\\\\-1 = \frac{x_2 -9}{4}\\\\x_2 - 9 = -4\\\\x_2 = 9 - 4\\\\x_2 = 5

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