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3 years ago

If His the midpoint of FH,find FG. 11x-7=3×+9

Mathematics

1 answer:

Sphinxa [80]3 years ago

5 0

we know B is the midpoint, thus it cuts AC into two equal halves.

$\bf \underset{\textit{\Large 8x - 20}}{\boxed{A}\stackrel{3x-1}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{3x-1}{\rule[0.35em]{10em}{0.25pt}}\boxed{C}} \\\\\\ (3x-1)+(3x-1) = 8x-20\implies 6x-2=8x-20\implies -2=2x-20 \\\\\\ 18=2x\implies \cfrac{18}{2}=x\implies \blacktriangleright 9=x \blacktriangleleft \\\\\\ BC=3x-1\implies BC=3(9)-1\implies \blacktriangleright BC=26 \blacktriangleleft$

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BlackZzzverrR [31]

Answer:

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General Formulas and Concepts:

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Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
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Left to Right

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Step-by-step explanation:

Step 1: Define

r + 2 - 8r = -3 - 8r

Step 2: Solve for r

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Step 3: Check

Plug in r into the original equation to verify it's a solution.

Substitute in r: -5 + 2 - 8(-5) = -3 - 8(-5)
Multiply: -5 + 2 + 40 = -3 + 40
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Add: 37 = 37

Here we see that 37 does indeed equal 37.

∴ r = -5 is a solution of the equation.

Step 4: Define equation

-4x = x + 5

Step 5: Solve for x

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Step 6: Check

Plug in x into the original equation to verify it's a solution.

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Add: 4 = 4

Here we see that 4 does indeed equal 4.

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Answer:

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