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Naily [24]
3 years ago
8

Point G is between F and H. FH= 102, FG=5x+9, and HG=9x-5

Mathematics
1 answer:
dexar [7]3 years ago
7 0

a)

FH = 102, FG = 5x + 9. HG = 9x - 5     <em>Given</em>

  FG    +   HG   =    FH                        <em>Segment addition postulate</em>

5x + 9 + 9x - 5 =  102                         <em>Substitution</em>

            14x + 4 = 102                        <em>Simplify (added like terms)</em>

                  14x = 98                          <em>Subtraction property of equality</em>

                     x = 7                             <em>Division property of equality</em>

b)   FG = 5x + 9  = 5(7) + 9   = 35 + 9   = 44

c)   HG = 9x - 5   = 9(7) - 5   = 63 - 5   = 58

Answers: a = 7, b = 44, c = 58

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Answer:

C) 4

Step-by-step explanation:

Arcs on one side of the diameter adds upto 180°.

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4 0
3 years ago
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<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

What is the value of this expression when c = -4 and d = 10 ? \frac{1}{4} (c³ + d²)

<h2><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u>:-</h2>

<h3>Given:-</h3>

\frac{1}{4} (c³ + d²) where c = -4 and d = 10

<h3>To Find:-</h3>

The value of the expression \frac{1}{4} (c³ + d²)

<h2>Solution:-</h2>

\frac{1}{4} (c³ + d²) [Given expression]

Now, putting the value of c = -4 and d = 10 , we get,

\frac{1}{4} { (-4)³ + (10)² }

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\frac{1}{4} × 36

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