Given points A(−2,0), B(−5,3), C(−9,−1), P(7,6), Q(4,0), and R(−4,4), which of the following proves that △ABC~△PQR?
UNO [17]
Based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).
<h3>The SSS Similarity Theorem</h3>
Two triangles having three pairs of sides that are proportional can be proven to be similar by the SSS similarity theorem.
If the triangle ABC and triangle PQR are similar, their corresponding sides will be proportional, meaning that: AB/PQ = BC/QR = CA/RP.
Therefore, using the distance formula, 
, the sides of each triangle is found.
Therefore, it shows that:
AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5
Therefore, based on the SSS similarity theorem, △ABC ~ △PQR because AB/PQ = BC/QR = CA/RP = √2/√5 = √10/5 (option D).
Learn more about the SSS similarity theorem on:
brainly.com/question/4163594
Answer:
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Step-by-step explanation:
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Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,
This function is not defined when the denominator is zero.
2x + 2 = 0
2x = -2
x = -1
Therefore, x = -1 is not in the domain of this function.
And the domain will be,
(-∞, -1)∪(-1, ∞)
For all values of x (except x = -1) we get some output values (value of 
).
Therefore, range of the function will be (-∞, ∞).
Answer: 
Step-by-step explanation:
FIrst find the square root of 81.
The square root of 81 is 9.
FInd the product of -1 and -3 by multiplying the -1 by -3.
-1 * -3 = 3
next find the square root of 4.
Now it said divide the square root of 81 which is 9 by the difference between 3 and 2 and the difference between 3 and 2 two is 1.
Thos means that the answer will be 9/1.
