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UkoKoshka [18]
3 years ago
12

If <10 and <15 are congruent, which lines are parallel? A.lines b and c B.lines c and d C.lines a and b D.No lines are par

allel. - Refer to second picture. Given the information in the diagram, determine if M ll N If so, give the theorem or postulate used to support your conclusion. A.yes; converse of the consecutive interior angles theorem B.yes; converse of the alternate interior angles theorem C.yes; converse of the corresponding angles postulate D.no

Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0

Problem 1

<h3>Answer: C. lines a and b</h3>

Explanation: Circle or highlight the angles 10 and 15. They are alternate interior angles with line d being the transversal cut. It might help to try to erase line c to picture the transversal line d better. With d as the transversal, and angles 10 and 15 congruent, this must mean lines a and b are parallel by the alternate interior angle theorem converse.

==============================================

Problem 2

<h3>Answer: D. no</h3>

Explanation: The angles at the top are 32 degrees, 90 degrees, and x degrees which is the missing unmarked angle at the top (all three angles are below line m). The three angles must add to 180 to form a straight angle

32+90+x = 180

x+122 = 180

x = 180-122

x = 58

The missing angle is 58 degrees. This is very close to 57 degrees at the bottom. Though we do not have an exact match. This means lines m and n are not parallel. The alternate interior angles must be congruent for m and n to be parallel, as stated earlier in problem 1.

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Question and answer choices are in the SS attached!!!! Pls help me! ty!
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Answer:

B

Step-by-step explanation:

It's a right triangle, so the pythagorean theorem will be used a lot.

First, find the side length on the left.

25^2 = 7^2 + y

y = 24

Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.

4^2 + 24^2 = x^2

x = \sqrt{592}

Just need to simplify it a little farther...

592 / 16 = 37, so B must be the answer.

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Lubov Fominskaja [6]

The simplified expression of \frac{x^3 + (-y)^3}{(x - y} is x^2+xy+y^2

<h3>Complete question</h3>

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

<h3>How to simplify the expression?</h3>

The expression is given as:

\frac{x^3 + (-y)^3}{(x - y}

Open the inner bracket

\frac{x^3 -y^3}{(x - y}

Apply the difference of two cubes to the numerator

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Cancel out the common factors

x^2+xy+y^2

Hence, the simplified expression of \frac{x^3 + (-y)^3}{(x - y} is x^2+xy+y^2

Read more about expressions at:

brainly.com/question/723406

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