Ask question

Ask question

All categories

3 years ago

12

If 8=10 and 1=7, which describes all the lines that must be parallel?

2 answers:

77julia77 [94]3 years ago

6 0

Answer: Lines r and s and lines t and u must be parallel.

Step-by-step explanation:

If $\angle{8}\cong\angle{10}$ which are alternate interior angle corresponding to line t and u.

then by Alternate interior angle property :

Lines t and u must be parallel.

If $\angle{1}\cong\angle{7}$ which are alternate exterior angle corresponding to line r and us.

then by Alternate exterior angle property :

Lines r and s must be parallel.

Hence, Lines r and s and lines t and u must be parallel.

Black_prince [1.1K]3 years ago

5 0

I'm not sure. But i think the answer is C
You can see that none of the lines are about to/ are intersecting

You might be interested in

4.) What is the exact value of sinθ when θ lies in Quadrant II and cosθ=−513

dimaraw [331]

Answer:

Part 4) $sin(\theta)=\frac{12}{13}$

Part 10) The angle of elevation is $40.36\°$

Part 11) The angle of depression is $78.61\°$

Part 12) $arcsin(0.5)=30\°$ or $arcsin(0.5)=150\°$

Part 13) $-45\°$ or $225\°$

Step-by-step explanation:

Part 4) we have that

$cos(\theta)=-\frac{5}{13}$

The angle theta lies in Quadrant II

so

The sine of angle theta is positive

Remember that

$sin^{2}(\theta)+ cos^{2}(\theta)=1$

substitute the given value

$sin^{2}(\theta)+(-\frac{5}{13})^{2}=1$

$sin^{2}(\theta)+(\frac{25}{169})=1$

$sin^{2}(\theta)=1-(\frac{25}{169})$

$sin^{2}(\theta)=(\frac{144}{169})$

$sin(\theta)=\frac{12}{13}$

Part 10)

Let

$\theta$ ----> angle of elevation

we know that

$tan(\theta)=\frac{85}{100}$ ----> opposite side angle theta divided by adjacent side angle theta

$\theta=arctan(\frac{85}{100})=40.36\°$

Part 11)

Let

$\theta$ ----> angle of depression

we know that

$sin(\theta)=\frac{5,389-2,405}{3,044}$ ----> opposite side angle theta divided by hypotenuse

$sin(\theta)=\frac{2,984}{3,044}$

$\theta=arcsin(\frac{2,984}{3,044})=78.61\°$

Part 12) What is the exact value of arcsin(0.5)?

Remember that

$sin(30\°)=0.5$

therefore

$arcsin(0.5)$ -----> has two solutions

$arcsin(0.5)=30\°$ ----> I Quadrant

or

$arcsin(0.5)=180\°-30\°=150\°$ ----> II Quadrant

Part 13) What is the exact value of $arcsin(-\frac{\sqrt{2}}{2})$

The sine is negative

so

The angle lies in Quadrant III or Quadrant IV

Remember that

$sin(45\°)=\frac{\sqrt{2}}{2}$

therefore

$arcsin(-\frac{\sqrt{2}}{2})$ ----> has two solutions

$arcsin(-\frac{\sqrt{2}}{2})=-45\°$ ----> IV Quadrant

or

$arcsin(-\frac{\sqrt{2}}{2})=180\°+45\°=225\°$ ----> III Quadrant

5 0

3 years ago

Can I get some help please?

Lynna [10]

The answer is 15. Just count the spaces between A and D.

3 0

2 years ago

What is the solution to the system of equations?

dusya [7]

Answer:

1.x=-4+ y/2 - z/2

2. X=-4-y-z

3. x=y/3-2/3

Step-by-step explanation:

8 0

2 years ago

HELP PLZ REALLY NEED HELP!!!!!!What is the product? 0.478×(−0.2) Enter your answer as a decimal in the box.

Whitepunk [10]

The product is 0.0956.

4 0

2 years ago

Read 2 more answers

What are the zeros of f(x) = x2 - 12x+ 36?

Ket [755]

Answer:

D

Step-by-step explanation:

x^2-12x+36

type into desmos and see where it touches the the line

6 0

2 years ago