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3 years ago

If X parallel Y and Y parallel Z then

Mathematics

1 answer:

umka21 [38]3 years ago

8 0

Answer:

X || Z

Step-by-step explanation:

We are not told about any lines being perpendicular, so we cannot conclude any lines to be perpendicular.

Theorem:

If two lines are parallel to the same line, then the two lines are parallel to each other.

X is paralle to Y; Z is parallel to Y.

Line X and Z are parallel to the same line, Y, so lines X and Z are parallel.

Answer: X || Z

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Use the fundamental identities and appropriate algebraic operations to simplify the following expression. (18 +tan x) (18-tan x)

andrezito [222]

Answer:

a) $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)=325$

b) The lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

Step-by-step explanation:

a) To simplify the expression $\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)+\sec ^2\left(x\right)$ you must:

Apply Difference of Two Squares Formula: $\left(a+b\right)\left(a-b\right)=a^2-b^2$

$a=18,\:b=\tan \left(x\right)$

$\left(18+\tan \left(x\right)\right)\left(18-\tan \left(x\right)\right)=18^2-\tan ^2\left(x\right)=324-\tan ^2\left(x\right)$

$324-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Apply the Pythagorean Identity $1+\tan ^2\left(x\right)=\sec ^2\left(x\right)$

From the Pythagorean Identity, we know that $1=-\tan ^2\left(x\right)+\sec ^2\left(x\right)$

Therefore,

$324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325$

b) According with the below graph, the lowest point of $y=\cos \left(x\right)$ , $0\leq x\leq 2\pi$ is when x = $\pi$

3 0

3 years ago

Common factors of 28 and 40

Nady [450]

28: 1, 2, 4, 7, 14, 28

40: 1, 2, 4, 5, 8, 10, 20, 40

The common factors are 1, 2, and 4.

You can use a factor rainbow to help you find the factors (:

7 0

3 years ago

Where is 50−−√+5√ located on a number line? A. between 7 and 8 B. between 8 and 9 C. between 9 and 10 D. between 10 and 11

mel-nik [20]

Answer:

between 7 and 8

Step-by-step explanation:

7 0

3 years ago

Find y when x = 12, if y = 2 when x = 5

AleksAgata [21]

Y = kx
k = y/x
k = 2/12
k = 1/6

so when x = 12
y = kx
y = 1/6(5)
y = 5/6

answer
when x = 5 y = 5/6

7 0

3 years ago

In integers how to know if minus (-) 1 upon 2 is greater or minus (-) 1 is greater???

kogti [31]

Answer:

1/2 is 0.5 so -1/2=-0.5

-0.5 is greater than -1

use a number line

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If X parallel Y and Y parallel Z then​

If X parallel Y and Y parallel Z then