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Kitty [74]
1 year ago
9

B is the midpoint of AC. AB= 3(3x-1) and AC=5(2x+2) find X, AB, BC, and AC

Mathematics
2 answers:
VMariaS [17]1 year ago
4 0

Answer:

x = 2

Step-by-step explanation:

AB is given as 3(3x-1) multiply inside the parenthesis with 3

AB = 9x - 3

AC is given as 5(2x+2) multiply inside the parenthesis with 5

AC = 10x + 10

if B is midpoint of AC then AB = BC and AC = AB + BC if we write this equation using the given values

9x - 3 + 9x - 3 = 10x + 10 add like terms

18x - 6 = 10x + 10 transfer like terms to the same side of the equation

18x - 10x = 10 + 6

8x = 16 divide both sides by 8

x = 2 replace x with 2 in given expressions to find the value of each component

UNO [17]1 year ago
3 0

Answer:   x = 2; AB = 15; BC = 15; AC = 30

Step-by-step explanation:

AB = BC = 3(3x - 1) = 9x - 3

AC = 5(2x + 2) = 10x + 10

AB + BC = AC

(9x - 3) + (9x - 3) = 10x + 10

   9x - 3 + 9x - 3 = 10x + 10

               18x - 6 = 10x + 10

                8x - 6 = 10

                      8x = 16

                        x = 2

Plug x = 2 to find AB, BC, and AC.

AC = BC = 3(3x - 1) = 9x - 3 = 9(2) - 3 = 18 - 3 = 15

AC = 5(2x + 2) = 10x + 10 = 10(2) + 10 = 20 + 10 = 30

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3 years ago
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marshall27 [118]

Answer:

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Step-by-step explanation:

Given the expression g(c) = 6c/2, we are to find the value when c = 2

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6 0
3 years ago
Find the inverse of f(x)=(x−5)/(−4x−2)
uysha [10]

Answer:

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

Step-by-step explanation:

The given rational function is

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Let

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Solve for y;

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Therefore

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7 0
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Answer:

The one with arrows are the answers

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->A is the midpoint of Line segment F C .

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Line segment D A is congruent to Line segment A B .

Step-by-step explanation:

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5 0
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cestrela7 [59]

Answer:

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Step-by-step explanation:

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Hence proved hyootenuse is double of smaller triangle I.e 14

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