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4 years ago

What is the value of x?

Mathematics

1 answer:

mr Goodwill [35]4 years ago

5 0

Answer:

x = 7

Step-by-step explanation:

Similar

The two triangles

1) the one making up the peak of the large triangle

2)the large triangle

are similar. That is because the 2 bases are parallel and corresponding angles are equal. The third angle at the peak is common. So by AAA they are similar.

Proportion

Therefore the sides are in proportion.

5/40 = 3/(2x + 10)

Solution

Cross multiply

5*(2x + 10) = 40*3

Remove the brackets on the left. Combine the right.

10x + 50 = 120

Subtract 50 from both sides

10x + 50 - 50 = 120 - 50

10x = 70

Divide by 10

10x/10 = 70/10

x = 7

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Answer:

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3 years ago

A kayaker travels x miles per hour downstream for 4 hours. On the 6-hour return trip, the kayaker travels 2 mile per hour slower

Stolb23 [73]

time * rate = distance

Downstream 4 * x = 4(x)

Upstream 6 * x - 2 = 6(x - 2)

distance downstream = distance upstream:

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-2x = -12

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3 years ago

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shepuryov [24]

Answer:

Step-by-step explanation:

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3 years ago

what was the interest rate if your balance on an investment of 857 dollars at the end of six years is 1268.36 dollars

Mumz [18]

<h3>The interest rate is 8 % if your balance on an investment of 857 dollars at the end of six years is 1268.36 dollars</h3>

<em><u>Solution:</u></em>

Given that,

Principal = $ 857

Amount = $ 1268.36

Number of years = 6

Rate of interest = ?

Simple Interest = Amount - principal

Simple Interest = 1268.36 - 857

Simple Interest = 411.36

<em><u>Use the formula,</u></em>

$Simple Interest = \frac{ p \times n \times r}{100}\\\\411.36 = \frac{ 857 \times 6 \times r}{100}\\\\41136 = 5142 \times r\\\\r = \frac{41136}{5142}\\\\r = 8 \%$