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nika2105 [10]
2 years ago
5

Determine if triangle OPQ and triangle RST are or are not similar, and, if they are, state which triangle similarity shortcut (A

A, SSS, SAS) you can use to prove it. Show your work below proving that the triangles met the shortcut's criteria (Note that figures are NOT necessarily drawn to scale.)​

Mathematics
1 answer:
murzikaleks [220]2 years ago
4 0

Answer:

SAS Similarity

Step-by-step explanation:

ΔOPQ similar to ΔRST

∠Q  = ∠T

OQ : RT = 28 : 84 = 1 : 3

QP : TS  = 16 : 48 = 1 : 3

The measures of two sides of ΔOPQ are proportional to the measure of two side of ΔRST and their included angles are congruent.  The triangles are similar by SAS Similarity.

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guajiro [1.7K]
The proportion would go as follows:

2   C
5 = 145      Its hard to type that but 2 would go over the 5 and an equals sign would be in the middle, then C over 45. To solve then take 145 times 2 and divide it by 5.
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3 years ago
The difference of the squares of two positive consecutive even integers is 44 find the integers use the fact that if X represent
TiliK225 [7]

Answer:

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers (x^2 and (x+2)^2) is (=) 44 (44)"

this means the following:

(x+2)^2-x^2=44

solve for x to find the smaller integer

first, expand

(x^2+4x+4)-x^2=44

x^2+4x+4-x^2=44

4x+4=44

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3 years ago
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Zepler [3.9K]

Answer:

a) the product is equal to 953.

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a) 953 × 63/63 = 953

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2 years ago
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Answer:

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Now, it means that;

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Thus, length of BC = 3(5) - 4 = 15 - 4 = 11

Therefore, Length of AB = 5

5 0
2 years ago
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