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3 years ago

GEOMETRY HELP WILL MARK BRAINLIEST

Mathematics

2 answers:

Oksana_A [137]3 years ago

8 0

Answer:

x=8, z=115

Step-by-step explanation:

We can first set up an equation to find x.

13x-39=65

This can be stated because vertical angles are always congruent.

Now, we can add 39 to both sides of the equation to isolate x.

13x=104

Divide both sides by 13.

x≈8

Now, we can set up an equation to find z.

A line has 180 degrees.

That said, we can use that to set up our second equation.

65+z=180

Subtract 65 from both sides.

z=115

alisha [4.7K]3 years ago

4 0

Answer:

x=8

z = 115

Step-by-step explanation:

65 and 13x - 39 are vertical angles so they are equal

65 = 13x - 39

Add 39 to each side

65+39 = 13x - 39+39

104 = 13x

Divide each side by 13

104/13 = 13x/13

8 =x

65 and z are supplementary angles because they form a straight line. This means they add to 180

65+z = 180

Subtract 65 from each side

65+z-65 = 180-65

z = 115

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Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi

Marta_Voda [28]

Answer:

(-3, -129)

Step-by-step explanation:

Given

Two lines:

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Solution:

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$-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3$

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$\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129$

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Citrus2011 [14]

Answer:

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