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vesna_86 [32]
3 years ago
11

Question is in image In the diagram below, ST is parallel to PR

Mathematics
1 answer:
likoan [24]3 years ago
5 0

Answer:

  D.

Step-by-step explanation:

There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.

Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...

  SQ/PQ = TQ/RQ

From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.

  (PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem

  1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division

  -PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)

  PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)

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Joyce saved $120 on an item that was $75 off. What was the original price
vaieri [72.5K]

The original price of the item will be $ 480.When there is 75% off on the original price.

<h3>What is the percentage?</h3>

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The right question is

"Joyce saved $120 on an item that was 75 %  off. What was the original price?"

Given data;

% off = 75

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Let the original price of the item is x

75 % of x + $120 = x

0.75x+ 120 =x

0.25 x =120

x=120/0.25

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Hence, the original price of the item will be $ 480.

To learn more about percentages, refer to:

brainly.com/question/13450942

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