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2 years ago

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Prove segment GF = segment HF

1 answer:

Llana [10]2 years ago

6 0

Answer:

GF = FH

Step-by-step explanation:

GEF & FIH

EF = FI (equal)

GEF = FIH (alternate angle)

EG = HI (parallel sides equal)

GEF & FIH are congruent, under the case of (SAS)

therefore, GF = FH (corresponding angle)

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If you multiply a number by 3 and then add 40, the result is the same as if you add 17 to the number and then multiply by 2. Wha

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Answer:

The number is -6

The second operation is -60

Step-by-step explanation:

Let the number be x.

Solving (a): The value of x

Operations 1:

Multiply by 3: 3x

Add 40: 3x + 40

Operations 2:

Add 17: x + 17

Multiply by 2: (x + 17) * 2

To find x, equate both operations.

$3x + 40 = (x + 17) *2$

$3x + 40 = 2x + 34$

Collect like terms

$3x - 2x = 34 - 40$

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Operations:

Subtract 9: $x - 9$

Multiply by 4: $(x - 9) * 4$

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$(x - 9) * 4 = (-6 - 9) * 4$

$(x - 9) * 4 = -15 * 4$

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