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valkas [14]
3 years ago
5

Solve the equation by finding the missing variable. 3/2(x + 4/3)=11

Mathematics
1 answer:
ddd [48]3 years ago
4 0
3/2(x+4/3) = 11

distribute the 3/2
3/2x + 12/6 = 11
3/2x + 2 = 11
subtract the 2
3/2x = 9
multiply both sides by 2
3x = 18
divide by 3
x = 6
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How do I find each measure? Please I need answers ASAP it's due at 1:50
Norma-Jean [14]

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

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

\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,

Let's go ahead and find measure of angle ACB;

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

So measure of angle ACB is 136 degrees.

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}

So measure of angle ABC is 22 degrees.

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1 year ago
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