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1 answer:
The side RS is 7 cm. For a similar triangle, the ratio of the opposite side of the two similar triangle are the same.
<h3>What is SAS similarity theorem?</h3>ΔABC ~ ΔDEF only if the ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal, and the angle included in both sides are congruent.
Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF, then for SAS similarity, we need
For the similar triangle;
Hence, the side RS is 7 cm.]
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The correct simplification of the given expression is (B) .
- An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.
To find the correct simplification of the given expression:
- The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30.
- This check eliminates the first choice.
- The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.
- The squared term will be the sum of the products of factors whose degrees total 2:
Therefore, the correct simplification of the given expression is (B) .
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The correct question is given below:
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)
(A) 16x3 − 50x2 − 23x − 30
(B) 16x3 − 50x2 − 23x + 30
(C) 16x3 − 30x2 − 23x + 30
(D) 16x3 + 50x2 − 23x + 30