Answer:
if ∠Q=∠R
draw an angular bisector from P to QR in which it intersect wit Qr at point S
now we have two triangle : QPS and RSP
in which angle : QPS=RPS ( PS is angular bisector)
and we have angle Q and angle R are equal
and PS is common side
this makes triangle QPS and RSP are congruent by AAS(angle angle side)
which also means that pQ=PR ( proved)
Triangles ABC and LBM are similar. We know this because AL and LB have the same length, so that AB is twice as long as either AL or LB. The same goes for MC and BM, and BC. The angle B is the same for both tirangles ABC and LBM, so the side-angle-side postulate tells us the triangles are similar, and in particular that triangle ABC is twice as large as LBM.
All this to say that LM must be half as long as AC, so LM has length (B) 14 cm.
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▹ Answer
<em>x = -7</em>
▹ Step-by-Step Explanation
-3x - 4(4x - 8) = 3(-8x - 1)
<u>Distribute</u>
-3x - 16x + 32 = -24x - 3
<u>Collect like terms</u>
-19x + 32 = -24x - 3
<u>Move variable to the left and change the sign</u>
-19x + 24x + 32 = -3
<u>Collect like terms</u>
5x = -3 - 32
<u>Calculate</u>
5x = -35
<u>Final Answer</u>
x = -7
Hope this helps!
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Answer:
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Step-by-step explanation: