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sergejj [24]
3 years ago
12

Line segment QR is dilated to create line segment Q'R'

Mathematics
2 answers:
leva [86]3 years ago
8 0

Answer:

3 Units on edge

Step-by-step explanation:

Lelechka [254]3 years ago
4 0

Answer:

The distance between R and R' is 3 units ⇒ 1st answer

Step-by-step explanation:

<u><em>A dilation</em></u> is a transformation that produces an image that is the same

shape as the original, but in a different size.

If the image is larger than the original figure then dilation is called an

enlargement.

If the image is smaller than the original figure then the dilation

is called a reduction.

The image of a line by dilation parallel to the original line if the original

line not passes through the center of dilation.

<em>Line segment QR is dilated to create line segment Q'R'</em>

∴ QR is parallel to Q'R'

<em>The factor of dilation is 1.5</em>

∴ The length of Q'R' is 1.5 the length of QR

In Δs TRQ and TR'Q'

∵ QR // Q'R'

∴ m∠TRQ = m∠TR'Q'

∴ m∠TQR = m∠TQ'R'

∵ ∠T is common in the two triangles

∴ ΔTRQ is similar to ΔTR'Q'

∴ \frac{TR'}{TR}=\frac{R'Q'}{RQ}

∵ \frac{Q'R'}{QR}=1.5

∵ TR' = TR + y

∵ Tr = 6 units

∴ TR' = 6 + y units

∵ \frac{TR'}{TR}=\frac{6+y}{6}

∴ 1.5=\frac{6+y}{6}

Multiply both sides by 6

∴ 9 = 6 + y

Subtract 6 from both sides

∴ 3 = y

* The distance between R and R' is 3 units

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Step-by-step explanation:

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#TheWizzer

6 0
2 years ago
A \greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color greenD, 4, space, c, m, times, 6, space, c, m, end color greenD re
gayaneshka [121]

Answer:

356 cm².

Step-by-step explanation:

Step one: The first thing to do here is to Calculate the area of rectangle. The area of the rectangle can be calculated by using the formula below;

Area of rectangle = width × length = 6 × 4 = 24 cm².

Step two: the next step is to calculate the area of the circle. The area of the circle can be calculated by using the formula below;

Area of a circle = (radius)^2 × π.

Area of a circle = (11)^2 × π = 380.13 cm².

Step three: the next thing to do is to calculate the area of the shaded region which is the difference between the Area of a circle and the Area of rectangle.

That is; 380.13 cm² - 24 cm² = 356.13 cm².

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3 years ago
What is f(x) = x2 – 8x 11 written in vertex form? f(x) = (x – 4)2 – 5 f(x) = (x – 4)2 5 f(x) = (x 4)2 – 27 f(x) = (x 4)2 27?
ioda
Y= (x - 4) ^2 -5 you are welcome :)
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3 years ago
Read 2 more answers
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