1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anettt [7]
3 years ago
8

Which reason justifies step 2 in the proof

Mathematics
1 answer:
tigry1 [53]3 years ago
6 0
<h3>Answer: C. If two lines are parallel, then the alternate interior angles formed are congruent.</h3>

This is through the alternate interior angles theorem. Angles Q and T pair up as one alternate interior set of angles that are the same measure. The same thing applies to angles X and R.

The identical arrow markers on segments XQ and TR show that those segments are parallel. Segment TQ is one transversal cut (forming alternate interior angles Q and T). Segment XR is the other transversal cut (forming alternate interior angles X and R).

We could say "angle XRT" or "angle TRX" instead of "angle R", though its ideal to use shortcuts whenever possible. The same applies for the other angles as well.

You might be interested in
What is the value of p ?
VLD [36.1K]

Answer:

p = 35

Step-by-step explanation:

180 - 125 = 55

180 - 90 = 90

55 + 90 = 145

180 - 145 = 35

p = 35

6 0
3 years ago
A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win
sveta [45]

Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  4,818'000,000/10,000 = 481,800</u>

8 0
3 years ago
Help!<br><br> If a sphere has a radius of 8mm, what is its volume? (Show work)
babymother [125]
The formula for the volume of a sphere is V = (4/3) * π * r³. Knowing this, we can plug in the radius:

V = \frac{4}{3} \pi *8^{3} \\ V = \frac{4}{3} \pi*512 \\ V = 2144.66

The sphere's volume is approximately 2144.66 mm^3.
7 0
3 years ago
What is 9/16 closest to 0,1/2, or 1 and why?
Lady_Fox [76]
1/2, because 9/16 is closer to 8/16 which reduces to 1/2. It is not as close to 0/16 (0) or 16/16 (1)
7 0
3 years ago
Given kite LNOM, what are the lengths of MX and XN ?
nasty-shy [4]

Answer:

Step-by-step explanation:

MX = XN

5r² + 2r + 52 = 4r² + 12r + 27

5r² - 4r² + 2r - 12r + 52 - 27 = 0

r² - 10r + 25 = 0

(r - 5)² = 0

r - 5 = 0

r = 5

4r² + 12r + 27

4•5² + 12•5 + 27

4•25 + 60 + 27

100 + 60 + 27

187

The Second one

I hope I helped you.

8 0
3 years ago
Other questions:
  • Which of the following expressions is the inverse of the function y = 2x − 6? y equals quantity x minus 6 divided by 2 y equals
    11·2 answers
  • Consider following equation m=y2-y1/x2-x1 find slope
    14·2 answers
  • (PLEASE ANSWER + BRAINLIEST!!)
    10·1 answer
  • when full, the gas tank of a car can hold 15 gallons. It now contains 12 gallons. What percent represents how full the tank is?
    9·1 answer
  • Please help me !!!!!!!!!!!!!!
    6·1 answer
  • if i have 19 friends they each want 3 slices of cake i have 38 slices how do i divide and get a simple remainder.
    6·1 answer
  • Least to greatest -4.3, -82.5, -41 4/5, -13 1/8
    15·1 answer
  • Find the area of the figure. If necessary, round to the nearest tenth.
    8·1 answer
  • What is the vertex of the graph of f(x) = |x – 13| + 11?
    13·1 answer
  • Find the GCF of 6 and 21<br><br> A. 126 <br> B. 21<br> C. 3<br> D. None of the above
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!