Using the image below to answer the question. Using the segment addition postulate find the value of X

Mathematics

2 answers:

Marysya12 [62]3 years ago

4 0

X=13 I just answered that question

RSB [31]3 years ago

3 0

Its clear that EF+FG=EG
(7x+9)+(3x+4)=143
10x+13=143
10x=130
X=13

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Solve the quadratic equation by factoring: 15x^2+4x-4=0

joja [24]

We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

15*-4 = -60

Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

(15x^2 + 10x) + (-6x - 4)

Now factor both terms.

5x(3x+2) - 2(3x+2)

3x+2 is one of our factors and 5x-2 is the other.

(3x+2)(5x-2)=0

Now just find the zeros.

3x+2 = 0
3x = -2
x = -2/3

And

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x = 2/5

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7 0

3 years ago

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Fofino [41]

Answer:

Justin spends $14.24 on gas to travel to work.

Step-by-step explanation:

Given:

Average speed at which Justin goes to work = 65 miles/hour

Time taken by Justin to arrive at work = 1 hour and 30 minutes = 1.5 hours [As 30 minutes =0.5 hours]

Distance he can travel per gallon of gas = 25 miles.

Cost of per gallon of gas = $3.65