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Marrrta [24]
3 years ago
7

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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Stella [2.4K]
The answer is 64ft^3
5 0
3 years ago
Pleas help me solve #1 :( <br> Your answer helps so much!!
miskamm [114]

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}

\tan(45 \degree)  =  \frac{7}{x}

1 =  \frac{7}{x}

x = 7

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

\sin(45 \degree)  =  \frac{opposite}{hypotenuse}

\sin(45 \degree)  =  \frac{7}{y}

y=  \frac{7}{\sin(45 \degree) }

y=  \frac{7}{ \frac{1}{ \sqrt{2} } }

y = 7 \times  \frac{ \sqrt{2} }{1}

y = 7 \sqrt{2}

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.
7 0
3 years ago
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
LenKa [72]

Answer:

18.15

Step-by-step explanation:

21% of 15 is 3.15 so 15 plus 3.15 = 18.15

3 0
3 years ago
Evaluate –3² + (2 – 6)(10).
Nimfa-mama [501]

Answer:

-49

Step-by-step explanation:

8 0
3 years ago
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