Given ---AB || ---RS Prove: QA/QR = QB/QS

The prove for QA/QR = QB/QS is shown below.

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

1) Given

2) <Q is congruent to <Q

by reflexive property of congruence

3) <QBA is congruent to <QSR

by alternate interior angles theorem

4) Triangle QBA is similar to triangle QSR

by AA theorem

5) QA/QR=QB/QS

by CPSP (corresponding parts of similar polygons are proportional)

Learn more about Similarity here:

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if there are 36 students and the ratio of girls to boys 5:4 how many girls and boys would there be​

Patrick makes chocolate chip cookies. The recipe calls for 134 cups of flour. If Patrick triples the recipe, how much flour will he need?

What is 18 divided by 1/4?

Look at the graph.

On a coordinate plane, a graph increases through (negative 1, 4), levels off at (0, negative 3), and then increases up through (2, 5).

Leslie analyzed the graph to determine if the function it represents is linear or non-linear. First she found three points on the graph to be (–1, –4), (0, -3), and (2, 5). Next, she determined the rate of change between the points (–1, –4) and (0, -3) to be StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction = StartFraction 1 Over 1 EndFraction = 1. and the rate of change between the points (0, -3) and (2, 5) to be StartFraction 5 minus (negative 3) Over 2 minus 0 EndFraction = StartFraction 8 Over 2 EndFraction = 4. Finally, she concluded that since the rate of change is not constant, the function must be linear. Why is Leslie wrong?
The points (–1, –4), (0, –3), and (2, 5) are not all on the graph.
The expressions StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction and StartFraction negative 3 minus (negative 5) Over 2 minus 0 EndFraction both equal 1.
She miscalculated the rates of change.
Her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.

a plan to expand megans room will make the length 140% what will be the new length of the room?

Which two whole numbers does 27/4 lie between?

Diego pours 8 ounces of water from a full bottle of 36 ounces. What is the percent of decrease of water in the bottle?

What is the measure of _R?

A. 40
B. 640
C. Cannot be determined
D. 32°

The first term of an arithmetic sequence is a1 = 2, and the third term is a3 = 6. Which of the following could be formula(s) for the sequence? Select all that apply.

A. an = 2n
B. an = 2n + 2
C. an = n + 2
D. ​​an = an − 1 + 2; a1 = 2

What is the distance between points (7,2) and (-4,2) on the coordinate plane?



help? please? maybe?

A shop has a 3 for 2 offer on chocolate bars.
The normal price of a chocolate bar is 68p.
Sian gets 3 chocolate bars from the shop using this offer.
How much does she spend?
Give your answer in pounds.

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Which equation justifies why ten to the one third power equals the cube root of ten?

A. to the one third power all raised to the third power equals ten to the one third plus three power equals ten
B. ten to the one third power all raised to the third power equals ten to the one third times three power equals ten
C. ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten
D. ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten

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What is the answer of 14.8-4b-(17.1-3b)
the answer choices are:
A. 0.375
B. 3.75
C. 37.5
D. 375​

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Write in radical form, then simplify the resulting radical and rationalize the denominator if need be:

312

jared has mowed 2/5 of the yard abby says that jason has mowed 4/6 of the yard is abby correct EXPLAIN

Find the quotient.
52.06 divided by 1.9

1. In the diagram below, a large flagpole stands outside of an office
building. Mark realizes that when he looks up from the ground.
60 m away from the flagpole, that the top of the flagpole and the
top of the building line up. If the flagpole is 35m tall, and it is
310 m from the building, how tall is the building? Explain your
answer. On your answer sheet.copy the diagrams and label all
parts)

Find the value for M.​

XWV ~ EDC. Find the length of EC.​

In a bag of skittles, there are 124 pieces. 25% are red. How many skittles are NOT red? Put the numeric answer only.

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Bath and body works sells a scented candle that urns 1/8 of an inch in every 1/4 of an hour. How many inches would the candle burn after one hour please show the work if it right you will get brainlist

Hi. I need help with this question :

Question : y is such that
[tex]4y - 7 \leqslant 3y[/tex] and
[tex]3y \leqslant 5y + 8[/tex]:
I). What range of values satisfies both inequalities ?
II). Hence, express
[tex]4y - 7 \leqslant 3y \leqslant 5y + 8[/tex]
in the form of
[tex]a \leqslant y \leqslant b[/tex]
where a and b are both integers.

Please show workings.

​

-6(-3y-6)-10(6y-8) in simplest form

Lillie begins solving the equation 4 (x - 1) - x = 3 (x + 5) -11. Her work is shown below.

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The quotient of 363636 and 333 is jjj.

There are 5 cats for every 4 dogs at the animal shelter. What is the ratio of dogs to cats?