What is the measure of A) 44 B)131 C)175 D)49 E)93 F)87

Mathematics

2 answers:

siniylev [52]3 years ago

7 0

Answer: 175

Step-by-step explanation: I hope this helps!!

patriot [66]3 years ago

6 0

Answer:

Step-by-step explanation:

ACD is a straight angle, thus

∠ACB + ∠BCD = 180. thus

∠ACB 131 = 180 ( subtract 131 from both sides )

∠ACB = 49° → D

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$\overline{XS}\cong\overline{YT}\Rightarrow 3m+7=4.2m+5\ \ \ |-7\\\\3m=4.2m-2\ \ \ \ |-4.2m\\\\-1.2m=-2\ \ \ \ |:(-1.2)\\\\m=\dfrac{2}{1.2}\\\\m=\dfrac{20}{12}\\\\m=\dfrac{5}{3}\to m=1\dfrac{2}{3}$

$\overline{YS}\cong\overline{XT}\Rightarrow3\dfrac{1}{2}r+2=2r+5\ \ \ \ |-2\\\\3\dfrac{1}{2}r=2r+3\ \ \ \ |-2r\\\\1\dfrac{1}{2}r=3\ \ \ |\cdot2\\\\3r=6\ \ \ \ |:3\\\\r=2$