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3 years ago

Can someone please help me Find EF

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

6 0

Answer:

Step-by-step explanation:

Remark

The relationship that solves this is

The outside segment * the whole length of the secant = the outside segment of the other secant * the whole length of the second secant.

Put in symbolic (and hence easier language)

GF * EG = HG * SG

Givens

GF = 4

EG = 2x + 4

GH = 5

SG = x + 5

Equation

4*(2x + 4) = 5*(x + 5) Remove the brackets

8x + 16 = 5x + 25 Subtract 5x from both sides

8x - 5x + 16 = 25 Combine

3x + 16 = 25 Subtract 16 from both sides

3x = 25 - 16

3x = 9 Divide by 3

3x/3 = 9/3

x = 3

EF = 2 * 3

EF = 6

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4 years ago

Can anybody help me on Simplying expressions w/ rational numbers??

bezimeni [28]

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In this case, given the following expression:

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In order to to create an equivalent expression, the first step is to apply the Distributive property. Then:

$\frac{1}{7}-\frac{3*3}{7}n+\frac{2*3}{7}\\\\\frac{1}{7}-\frac{9}{7}n+\frac{6}{7}$

You can identify that the like terms are:

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