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
brilliants [131]
2 years ago
6

The figure shows triangle PQR and line segment AB, which is parallel to QR:

Mathematics
2 answers:
Darya [45]2 years ago
7 0

Based on the triangle similarity theorem:

A. ΔPQR ~ ΔPAB

B. AB corresponds to  QR

C. ∠A corresponds to ∠Q.

<h3>What is the Triangle Similarity Theorem?</h3>

According to the triangle similarity theorem, when a segment that is parallel to one side of a triangle intersects the other two sides, the new triangle formed is therefore similar to the original triangle. This also implies that the two sides would be divided by the line segment proportionally.

Part A:

Based on the diagram given, we have:

AB is parallel to QR, therefore, the new triangle formed, triangle PAB is similar to the original triangle PQR, based on the triangle similarity theorem.

Part B:

Line segment AB corresponds to line segment QR because they lie in the same position facing angle P.

Part C:

Angle A lies in similar position with angle Q, so, angle A corresponds tp angle Q.

Learn more about the triangle similarity theorem on:

brainly.com/question/21247688

#SPJ1

Mashutka [201]2 years ago
5 0

Based on the triangle similarity theorem:

A. ΔPQR ~ ΔPAB

B. AB corresponds to  QR

C. ∠A corresponds to ∠Q.

<h3>What is the Triangle Similarity Theorem?</h3>

Triangle similarity theorem, when a segment that is parallel to one side of a triangle intersects the other two sides, the new triangle formed is therefore similar to the original triangle. This also implies that the two sides would be divided by the line segment proportionally.

Part A:

AB is parallel to QR, therefore, the new triangle formed, ΔPAB is similar to the original ΔPQR, based on the triangle similarity theorem.

Part B:

Line segment AB corresponds to line segment QR because they lie in the same position facing angle P.

Part C:

Angle A lies in similar position with angle Q, so, angle A corresponds to angle Q.

Learn more about triangle similarity theorem from:

brainly.com/question/21247688

#SPJ1

You might be interested in
Find the surface area. Show work.
kotegsom [21]

Step-by-step explanation:

first you'll have to cut the triangle in half to make the right angle. when u do the side is whatever the num is 132-??= thats the answer. and then add all of the area nums and then u get the num

7 0
3 years ago
Read 2 more answers
A) What are the situations under which an ON/OFF controller would provide satisfactory response? (8)
LuckyWell [14K]

Answer:

djzlalx dkk jej lwoeoxvhrh jej3hflak vkrjqldnfrj .

3 0
3 years ago
Please help ASAP!! BRAINLIEST to best answer
Nina [5.8K]
Hello! I can help you! In general, the larger the size, the larger the cost. We will assume that $8 is the youth size and $12 is the adult size. x is the youth side and y is the adult side. The first part of the equation is 8x + 12y, BUT the key words in the problem are AT MOST, so out sign will be less than or equal to (≤), because the number can't be higher than 216, but it could be right at that number or less, so the equation is 8x + 12y ≤ 216. The answer is A.
6 0
3 years ago
Write the equation in standard form for the circle with center (0, -1) and radius 10.
BARSIC [14]

Answer:

x^2 + (y+1)^2 = 10^2

Step-by-step explanation:

Centre (p,q) = (0, -1)

radius, r = 10

General Equation of a circle

(x-p)^2 + (y-q)^2 = r^2

(x-0)^2 + (y- -1)^2 = 10^2

x^2 + (y+1)^2 = 10^2

7 0
3 years ago
Number 8 only please
givi [52]

Answer:

Should be roughly 79.76% if I'm doing this right.

Step-by-step explanation:

Looking at the problem, you're given 3 things:

1) 6.8 million tonnes are recycled;

2) 6.8 million tonnes is 27% of the total household waste;

3) 20.1 million tonnes could be recycled.

Since they're asking for what percentage of <em>total</em> household waste could be recycled, you're looking at a multi-step cross multiplication problem.

It's not very difficult though, don't worry.

So I'm gonna start by telling you to just forget that the word "million" exists for the moment. You only need 6.8, 20.1, and 27%.

Setting up the first part of the problem requires you to convert 27% into a fraction. That's \frac{27}{100}.

6.8 is 27% of some mysterious number that we need to figure out what percent of household waste could be recycled, so that'll be set up on the opposite side of the equal sign as the equivalent to 27.

So we're starting out with this: \frac{6.8}{?} =\frac{27}{100}

Since you're trying to initially find the total household waste, we're setting x as the variable to solve for.

\frac{6.8}{x} =\frac{27}{100}

Cross-multiplying** means you multiply the numerator of one side of the equal sign to the denominator of the other side of the equal sign, and vice versa (denominator of one side to numerator of other). So multiply 6.8 to 100, and 27 to x.

680=27x

Now that you have this, you have to isolate x. Divide both sides by 27 to do this.

25.185185...=x

I'm gonna round that for simplicity's sake, because 185 repeats.

25.2=x

So we have 25.2 million tonnes of total household waste. Great! Now we can find the <em>percentage </em>of household waste that could be recycled.

Since we have how much could be recycled and the total, we just need to solve for the percent this time. So this is what the set-up will look like:

\frac{20.1}{25.2} =\frac{x}{100}

x being the percent we're solving for.

Cross-multiply again:

2010=25.2x

Divide both sides by 25.2:

79.761904761904...=x

Then round for simplicity's sake:

79.76=x

And you get 79.76% of household waste could be recycled.

Hope this helped!

**Be careful with cross-multiplying when you get to higher level math though. Not every situation allows for cross-multiplying. In fact, you can only cross-multiply when there's an equal sign.

6 0
3 years ago
Other questions:
  • On a particular day, the wind added 5 miles per hour to Jaime's rate when she was rowing with the wind and subtracted 5 miles pe
    6·1 answer
  • Can someone please answer both A and B please. If you can Thank You so Much!
    6·1 answer
  • Please Help! 40 Points!
    13·1 answer
  • The eighth grade girls basketball team played a total of 13 games this season if they scored a total of 364 points what was thei
    12·2 answers
  • how much would $600 invested at 8% interest compound continuously be worth after 3 years? round to the nearest cent a(t)=p.ert
    14·1 answer
  • Solve for Y:
    12·1 answer
  • 256 is what percent of 400
    13·2 answers
  • Please help in finding the values
    12·1 answer
  • -3(n + 4)= 9 what solution is n
    10·1 answer
  • Is this correct? (Geometry hw)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!