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3 years ago

What is value of x? Enter your answer in the box. x =

Mathematics

2 answers:

Mila [183]3 years ago

8 0

Answer:

x = 27

Step-by-step explanation:

(x+8) / 10 = (2x - 5) / 14

Cross multiply

10(2x - 5) = 14(x + 8)

20x - 50 = 14x + 112

6x = 162

x = 27

Alexandra [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Look at the picture.

If ABC is any triangle and AD bisects (cuts in half) the angle BAC, then

$\dfrac{AB}{BD}=\dfrac{AC}{DC}$

In our triangle we have the proportion:

$\dfrac{x+8}{10}=\dfrac{2x-5}{14}\qquad\text{cross multiply}\\\\14(x+8)=10(2x-5)\qquad\text{use distributive property}\ a(b+c)=ab+ac\\\\(14)(x)+(14)(8)=(10)(2x)+(10)(-5)\\\\14x+112=20x-50\qquad\text{subtract 112 from both sides}\\\\14x=20x-162\qquad\text{subtract 20x from both sides}\\\\-6x=-162\qquad\text{divide both sides by (-6)}\\\\x=27$

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4 years ago

A cup and saucer cost $3.10 at the local store. The cup costs $2.00 more than the saucer. How much does each cost?

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Saucer $0.55

Step-by-step explanation:

Cost of cup and saucer is $3.10

Let the cup be x

And saucer be y

I.e

X+y= 3.10......equation 1

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I.e x=2+y......equation 2

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