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inessss [21]
3 years ago
14

Solve the expression for the specified variable. S=DC-8, for D

Mathematics
1 answer:
anastassius [24]3 years ago
4 0
D=(S+8)/C

S=DC-8
add 8 to both sides
S+8=DC
divide c from both sides
(S+8)/C=D
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How do I find each measure? Please I need answers ASAP it's due at 1:50
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Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

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\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}

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31. Let angle ACB be y,

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\begin{gathered} 44+y=180\text{     (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}

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32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

\begin{gathered} 136+z+z=180_{}\text{    (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}

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