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Bond [772]
2 years ago
8

Find the measure of line segment TR​

Mathematics
2 answers:
cestrela7 [59]2 years ago
7 0

Answer:

17

Step-by-step explanation:

trapecia [35]2 years ago
4 0

Answer:

TR = 24 units

Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product  of the external part and whole of the other secant, that is

3x(3x + 5x) = 8(8 + 19)

3x × 8x = 8 × 27

24x² = 216 ( divide both sides by 24 )

x² = 9 ( take the square root of both sides )

x = ± \sqrt{9} = ± 3

but x > 0, thus x = 3

Thus

TR = 8x = 8 × 3 = 24

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Lana71 [14]

Answer:

C. 30 ft

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

When we draw out a picture, we should see that we use the Pythagorean Theorem to help solve our missing height:

10² + b² = 32²

b² = 32² - 10²

b = √924

b = 2√231 or 30.3974

Round that to 30 feet.

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2 years ago
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Nostrana [21]

Answer:

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Step-by-step explanation:

5 0
2 years ago
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A prime has coordinates of (–0. 25, 0. 5) after the triangle has
babunello [35]

The true statements about the dilation are as follows;

The scale factor is One-eighth

The coordinates of the C prime are (0.75, 0.5).

The coordinates of B prime are (–0.25, 1).

Given

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4).

If A prime has coordinates of (–0. 25, 0. 5) after the triangle has been dilated with a center of dilation about the origin.

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation, and translation.

Dilation is the enlargement or reduction in the size of an object. If a point X(x, y)  is dilated about the origin by a factor k, its new location is X'(kx, ky).

Triangle ABC with vertices at A(–2, 4), B(–2, 8), and C(6, 4) is dilated to give A'(-0.25, 0.5)

kA = A'

(-2k, 4k) = (-0.25, 0.5)

-2k = -0.25, hence k = 1/8

Therefore the scale factor is 1/8 (one- eight)

The new location of the vertices is B'(-0.25, 1), C'(0.75, 0.5)

To know more about Transformation click the link given below.

brainly.com/question/11709244

3 0
2 years ago
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. Wh
alexgriva [62]

The distribution of the pants and the shirts illustrates probability

The probability that he winds up wearing the white shirt and tan pants is 1/8

<h3>How to determine the probability?</h3>

The number of shirts is given as:

Shirts = 4

The number of pants is given as:

Pants = 2

The probability that he winds up wearing the white shirt and tan pants is then calculated as:

P = P(White shirt) * P(tan pant)

This gives

P = 1/4 * 1/2

Evaluate the product

P = 1/8

Hence, the probability that he winds up wearing the white shirt and tan pants is 1/8

Read more about probability at:

brainly.com/question/251701

5 0
1 year ago
Let p=x^2-2 which equation is equivalent to (x^2-2)^2+18=9x^2-18 in terms of p
Bad White [126]

Answer:

The equivalent equation is p^2 + 18 = 9p

Step-by-step explanation:

p is given by the following relation:

p = x^2 - 2

And we are given the following equation:

(x^2 - 2)^2 + 18 = 9x^2 - 18

On the right side, we can simplify. So

(x^2 - 2)^2 + 18 = 9(x^2 - 2)

Replacing x^2 - 2 by p, the equation is:

p^2 + 18 = 9p

6 0
3 years ago
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