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Ksenya-84 [330]
3 years ago
7

I need help on solving these types of geometry problems! Teacher said the answer is 7 but I have to show work. Thank you!

Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.

This means

82^\circ=m\angle 2

\implies82=10x+12

\implies10x=70

\implies\boxed{x=7}

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Answer:

that would be a vertical line (parallel to the y axis) that passes through -5 on the X axis

Step-by-step explanation:

just a straight line that goes through x = -5. if you're still confused it would also go through the point (-5, -5) a straight vertical line

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saul85 [17]

Answer:

-4/5

Step-by-step explanation:

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6 0
3 years ago
No work needed, just need answer please.
In-s [12.5K]

Answer:

1 is 27.8%

2 is 41.7%

Step-by-step explanation:

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1) At Joe's Restaurant, one-fourth of the
andrew11 [14]

Answer:

<u>1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Proportion of patrons that are male at Joe's restaurant = 1/4

Proportion of patrons that are from out of town at Joe's restaurant = 1/5

2.  What  proportion would you expect to be  male and out of town?

For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:

Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant

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<u>It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>

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