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2 years ago

What is the value of x in the diagram below?

Mathematics

2 answers:

dusya [7]2 years ago

7 0

we know that

the two triangles in the figure are similar, because they have three equal angles

therefore

The ratio of the corresponding sides are equal

$\frac{x}{8}= \frac{18}{48} \\ \\x=(8*18)/48 \\ \\x=3\ units$

therefore

<u>the answer is the option C</u>

$3$

Sever21 [200]2 years ago

3 0

Answer:

Step-by-step explanation:

From the figure, it can be seen that all the three angles of the triangles are equal therefore both the triangles are similar, hence using the similarity condition, we get:

$\frac{18}{x}=\frac{48}{8}$

On cross multiplying, we get

$x=\frac{18{\times}8}{48}$

$x=\frac{18}{6}$

$x=3$

Hence, the value of x is 3.

Therefore, the option C is correct.

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ZanzabumX [31]

Answer:

P = 25 + (15)n

Total amount paid by David = $100

Step-by-step explanation:

Given:

Fixed cost of renting chain saw = $25

Variable cost of renting chain saw = $15 per hour

Time taken = 5 hour

Find;

Total amount paid by David

Computation:

Assume;

Total amount paid by David = P

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5 0

2 years ago

15 points. Please answer as soon as possible.

abruzzese [7]

Answer:

A. $\frac{(a-b)^{2} +b^{2} }{a^{2}}$

Step-by-step explanation:

So to get the area of a square, we need to find the length of one side.

We know the length of the larger square is a, so the area of the larger cube is $a^{2}$

We can find the length of a side of the smaller square by using pythagoreans theorem to find the hypotenuse of the triangle formed in the bottom left corner. The length of one side along the x axis is a - b, and the length of the other side, along the y-axis, is b.

We can plug it into pythagoreans theorem to get

$(a-b)^{2} +b^{2} = C^{2}$ (C represents the length of one side of the smaller square, and the hypotenuse of the triangle)