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3 years ago

Find the value of x.

Mathematics

1 answer:

mihalych1998 [28]3 years ago

8 0

Answer:

x = 4

Step-by-step explanation:

Since ∆ABC ~ ∆DBE, therefore:

$\frac{10 - x}{x} = \frac{3}{2}$

Cross multiply

$2(10 - x) = 3(x)$

$20 - 2x = 3x$

Add 2x to both sides

$20 - 2x + 2x = 3x + 2x$

$20 = 5x$

Divide both sides by 5

4 = x

x = 4

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ANSWER

$y = 7 \sqrt{2}$

$x = 7$

EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

$\tan(45 \degree) = \frac{opposite}{adjacent}$

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To find y, we use the sine ratio, which means

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3 0

3 years ago

Read 2 more answers

PLEASE HELP !

adell [148]

First what you wanna do is get y by it’s self. To do that is to first add 5 on each side.

-5+3y=-4
+5 +5

3y= 1

Than you divide 3 on each side and it would give you y=1/3 if it’s a fractions problem but if you looking for decimals you would have to divide 1 by 3 which gets you .33333333.

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Joseph’s lunch at the diner costs $15 without tax. He left the waiter a 21% tip. What was his total cost of the lunch, including

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