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Hatshy [7]
3 years ago
14

In the diagram below, the top of each stair is parallel to the floor. What is the value of y?

Mathematics
1 answer:
Semmy [17]3 years ago
7 0
The value of y would be C) 38 degrees because if the floor and the top of the stair are parallel, then that makes the diagonal line a transversal, therefore the 38 degree angle and y are alternate interior angles.
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What is AE?<br> Enter your answer in the box?
Nataly [62]

Answer:

AE = 18 units

Step-by-step explanation:

Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is

\frac{AE}{DE} = \frac{AB}{DC} , substitute values

\frac{2x+4}{x+8} = \frac{12}{10} ( cross- multiply )

10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides

20x + 40 = 12x + 96 ( subtract 12x from both sides )

8x + 40 = 96 ( subtract 40 from both sides )

8x = 56 ( divide both sides by 8 )

x = 7

Then

AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units

5 0
3 years ago
Evaluate the expression below when x = -2.<br><br> x2 − 8<br> _____<br> x + 6
Paraphin [41]
-4-8 -12
--------= -------= -3
-2+6 4
7 0
3 years ago
Determine if the lines are parallel, perpendicular or neither y=-3/2x-4 and y=2/3x-7
aliya0001 [1]

Answer:

<u>They are perpendicular</u>

Step-by-step explanation:

Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.

Parallel lines have the same slope.

Neither is when the lines do not follow either of these definitions.

The slope of your two lines are -3/2 and 2/3. These slopes are flipped and the opposite negations of each other. <u>This means the lines are perpendicular.</u>

<u />

4 0
3 years ago
What is the answer to 8x^3+125 by factoring the perfect cube?
expeople1 [14]

Answer:

\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}

Step-by-step explanation:

8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)

3 0
3 years ago
8+8- 19=??<br> pls help and thank u
kumpel [21]
-3 the answer is -3 ight
4 0
3 years ago
Read 2 more answers
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