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Marat540 [252]
3 years ago
7

Please help me out with this. The sides of an isosceles triangle have lengths 2x + 4 and x + 8. The base has length 5x - 2. What

is the length of the leg?

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0
The answer is 18. The two sides are the same length, so you set the two sides equal to each other and solve for x. After finding x, you plug in the number into the base expression and you get the base length.
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OC and OR are similar. Find the length of QP.
Elena L [17]

Given:

Circle C and circle R are similar.

The length of arc AB is s = \frac{22 \pi}{9}

The radius of circle C (AC) = 4 unit

The radius of circle R (QR) =6 unit

To find the length of arc QP.

Formula

The relation between s,  r and \theta is

arclength = 2\pi r \frac{\theta}{360}

where,

s be the length of the arc

r be the radius

\theta be the angle.

Now,

For circle C

Taking r = 4

According to the problem,

2 \pi r \frac{\theta}{360} = \frac{22 \pi}{9}

or, 2r \frac{\theta}{360} = \frac{22}{9} [ eliminating \theta from both side]

or, \theta = \frac{(22)(360)}{(9)(2)(4)}

or, \theta = 110^\circ

Again,

For circle R

Taking, r = 6 and \theta = 110^\circ we get,

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Hence,

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3 years ago
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8 0
3 years ago
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