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Alika [10]
3 years ago
12

Which triangles are similar? Fast please and show work!

Mathematics
1 answer:
irakobra [83]3 years ago
7 0

here,

Q is the midpoint of PR.

O is the midpoint of PN.

So, the line joining the midpoints of two sides is half and parallel to the third side.

So, QO is parallel to NR.

Now,

in triangles OPQ and NPR,

i) angle OPQ = angle NPR (common angle)

ii) angle POQ = angle PNR (corresponding angles)

iii) angle OQP = angle NRP (corresponding angles)

so,

triangle OPQ is similar to triangle NPR.

(by AAA similarity)

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Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, ridin
Naya [18.7K]

Answer:

The answer is the option A

Eric rode  more miles per week than Kim rode

Step-by-step explanation:

Step 1

Find the number of miles that Kim rode per week

Divide the total miles by the total weeks

so

Step 2

Find the number of miles that Eric rode per week

Divide the total miles by the total weeks

so

Step 3

Compare the unit rates

Kim  

Eric  

so

Eric rode  more miles per week than Kim rode

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3 years ago
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I need help I give thanks and follow
olga_2 [115]

Answer:

73,780

Step-by-step explanation:

2,108 x 35 = 73,780

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3 years ago
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A magazine has 8 pages of reading for every 2 pages of advertisements. How many pages of reading does it have for 1 advertisemen
BaLLatris [955]

Answer:

4

Step-by-step explanation:

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8 0
3 years ago
If f(x)=-3x+4 and g(x)=2, solve for the value of x for which f(x)=g(x) is true
Crazy boy [7]

Answer: 2/3

Step-by-step explanation:

Fx) = g(x)

−3x + 4 =  2

-3x + 4 - 4 = 2 - 4

-3x = -2

Dividing by -3 on both sides;

(-3x)/-3 = (-2)/-3

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5 0
3 years ago
Factor completely. 4p² + 36p + 81 Express the answer in the form (ap+b)2 . Enter your answer in the box.
Scrat [10]
We can factor this polynomial using grouping. What we do is split the 36p into into parts so that we can factor the polynomial one half at a time.

To do so, we first multiply the leading coeffient by the constant. In other words, a times c where ap^2+bp+c. After multiplying 4 and 81, we get 324. Now we need to find two numbers that multiply to be 324 and add to be 36.

The factors of 324 are: 1, 2, 3, 4, 6, 9, 12,18, 27, 36, 54, 81, 108, 162, and 324.

The pair of numbers that works in this case are 18 and 18 since 324 is a perfect square.

Now we split the 36p:

(4p^2+18p)+(18p+81)

Now factor both halves.

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We have a common binomial of 2p+9 that can be factored out it get

(2p+9)(2p+9)

or

(2p+9)^2


5 0
4 years ago
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