K - Kitchen
b - Bedroom
l - Library
k = 4b
l = 14b
k + b + l = 817 pounds
4b + b +14b = 817 pounds
19b = 817 lbs
b = 817/19 pounds
b = 43 pounds
Since k = 4b
k = 4 * 43 pounds
k = 172 pounds
Answer: C) similar, SAS similarity, triangle LQR
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Explanation:
The vertical angles KLJ and QLR are congruent. This forms the "A" in "SAS". The angles in question are between the marked sides.
KL = 18 is twice that of QL = 9, or put another way, KL/QL = 18/9 = 2. The ratio of the sides is 2. Also, JL/RL = 16/8 = 2 is the same ratio. Because both pairs of sides have the same ratio, the sides are in proportion. This helps form the two "S" letters of "SAS".
The original triangle has LKJ mentioned at the top. Note the order as its important. We start with L and move to K, so LK is the first segment mentioned. LK = 18 pairs up with LQ = 9, meaning that LQ must be the first segment mentioned of the answer triangle. Therefore LQR is the correct letter sequence if we start with point L. Writing QLR is not correct because Q is the first letter here but Q does not pair up with L.
B, C, E, F are your answer
hope this helps
