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yuradex [85]
3 years ago
6

What must be the value of x so that lines c and d are parallel lines cut by transversal p?

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0
Check the picture below.

since "y" and 3x+45 are both linear angles, then y + (3x + 45) = 180.

but wait a second!!  "y" is a corresponding angle to 81°, so y = 81° then, therefore,

\bf y+(3x+45)=180\implies 81+(3x+45)=180
\\\\\\
126+3x=180
\implies 
3x=54\implies x=\cfrac{54}{3}\implies x=18

and that can only happen, if c || d.

UkoKoshka [18]3 years ago
3 0

18      is the correct answer

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Area
pentagon [3]

Step-by-step explanation:

1. In PQN & SRT.

a. <RST=<QPN (corresponding angle PQllSR)

b. <STR = <PNQ (corresponding angle TRIINQ)

c. TR=QN (Since TN & QN are opp. Side of parallelogram QNTR)

d. .°.PQN~=SRT.

2.PQN=PSOQ+SNO (whole part axiom)

3.SRT = SNO + NTRO(same as above)

4. PQN=SRT (From st. 1d)

or, PS0Q+SNO =SNO + NTRO (Cancellation of SNO)

or, PS0Q=NTRO

or, PSOQ +QOR=NTRO +QOR (Adding QOR on both side)

or, .°.◼️PQRS = ◼️QRTN

Best of luck!!!!.

8 0
4 years ago
Can someone please answer this, ill give you brainliest Would be very appreciated.
Lorico [155]

Answer:

Given function:

f(t) = (-16t - 2)(t - 1)

<h3><u>Part 1</u></h3>

The zeros of the function are the values of t when f(t) = 0

⇒ f(t) = 0

⇒ (-16t - 2)(t - 1) = 0

⇒ (t - 1) = 0  ⇒  t = 1

⇒ (-16t - 2) = 0  ⇒ t = -2/16 = -1/8

<h3><u>Part 2</u></h3>

The zeroes tell us the time (in seconds) when the ball is at ground level (when its height is zero).

Since time is not negative, only one zero is meaningful:  t = 1

Therefore, the total journey of the ball, from throwing it to it hitting the ground, is 1 second.

<h3><u>Part 3</u></h3>

The height the ball is thrown can be determined by inputting t = 0 into the function:

⇒ f(0) = (-16(0) - 2)(0 - 1)

⇒ f(0) = (0 - 2)(0 - 1)

⇒ f(0) = (-2)(-1)

⇒ f(0) = 2

Therefore, the height from which the beach ball is thrown is 2 ft.

4 0
2 years ago
Read 2 more answers
Solve for X, will mark brainliest if right
Vitek1552 [10]

Answer:

<u>x = 8</u>

Step-by-step explanation:

The sides are in proportion.

  • \frac{RG}{FG} =\frac{SH}{FH}
  • 40 / 7x + 14 = 44 / 33 + 44
  • 40 / 7x + 14 = 44/77 = 4/7
  • 40(7) = 4(7x + 14)
  • 280 = 28x + 56
  • 10 = x + 2
  • <u>x = 8</u>
3 0
2 years ago
Simplify the expression. Write your answer as a power.
nikdorinn [45]

Answer:

2/3 to the power 8

Step-by-step explanation:

Power : 2 + 6 = 8

4 0
2 years ago
Really stuck on this one. Which of the following are ordered pairs for the equation y =x - 4?
mamaluj [8]

Answer: Choice D

(0,-4) (4,0) and (-1,-5)

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

Explanation:

Plug in x = -4

y = x-4

y = -4-4

y = -8

The point (-4,-8) is on the line instead of (-4,0). This rules out choice A and choice B.

Now plug in x = 1

y = x-4

y = 1-4

y = -3

We get (1,-3) instead of (1,5). So we can rule out choice C.

The answer must be choice D.

The graph is below.

3 0
3 years ago
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