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saw5 [17]
2 years ago
12

Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.

Mathematics
1 answer:
Rudiy272 years ago
8 0

Answer:

Step-by-step explanation:

Each pair of vertically opposite angles are equal. If you mean vertical angles as in 90 degrees, you should qualify the question

Each pair of alternate interior angles is congruent (think it should be are congruent).

Each pair of corresponding angles is congruent

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Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.
LuckyWell [14K]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle.

Opposite angles of a Quadrilateral are Supplementary.

\therefore \: \angle A + \angle C = 180° \\  \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\  \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x =  \frac{176}{4}  \\ \therefore \: x =  44 \\  \\  m\angle A  = (2x + 3) \degree \\  = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle A  =91 \degree}} \\  \\ m\angle  C = (2x + 1) \degree \\  = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle   C=89\degree}}  \\  \\ m\angle  D= (x - 10) \degree \\  = (44 - 10) \degree \\  \huge \red{ \boxed{ \therefore \: m\angle  D =34\degree}}  \\  \\ similarly \\  \\  \huge \red{ \boxed{ \therefore \: m\angle  B  = 146\degree}}   \\  \\

6 0
3 years ago
Simplify the expressions<br><br> 5(3+m)-7<br><br> f+4(f-2)<br><br> 1/2x+3/8x+x
34kurt

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

3 0
2 years ago
Solve for y <br><br> 5y- 10x = 45
nasty-shy [4]

Answer:

y=9 (x=-4.5)

Step-by-step explanation:

you have to split the equation up in order to solve

5y=45

divide by 5 on both sides

y=9

-10x=45

divide by -10

x=-4.5

6 0
3 years ago
Write the first trigonometric function in terms of the second for θ in the given quadrant.. sec θ, sin θ; θ in quadrant I
Grace [21]

We have sec  = 1/cos

Then we also have  cos^2 = 1 – sin^2

Also we have cos = sqrt (1 – sin^2)

Substitute the derived cosine function to sec then we have

Sec = 1/(sqrt(1-sin^2)

3 0
3 years ago
Self-driving taxi service charges $5 per pickup and $0.25 per mile. We’ll Get You. There’s cabs charges $1 per pickup and $0.50
hoa [83]

Let y = total cost of the taxi service.

let x = amount of miles

We need to create a system of equations to solve this problem.

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Set the equations equal to each other

$0.25x + $5 = $0.50x +$1.

Subtract $0.25x from both sides and subtract $1 from both sides.

$4 = $0.25x

Divide both sides by $0.25.

16 miles = x

The companies will charge the same amount of money at 16 miles

6 0
3 years ago
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