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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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Novosadov [1.4K]

Answer:

350 miles in 7 hours

Step-by-step explanation:

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7 0
3 years ago
3 coffees and 4 donuts cost $10.05. In the same cafeteria, 5 coffees and 7 donuts cost $17.15. How much do you have to pay for 4
MakcuM [25]

Answer

You need to pay $14.20 to get 4 coffees and 6 donuts.

Explanation

Let's say that the price of one coffee and x and the price of one donut is y.

In the first instance, 3x+4y=10.05.

In the second instance, 5x+7y=17.15.

You can use these equations to find the value of a coffee and the value of a donut.

We can find x and y using elimination. To do this, you should add or subtract one equation from another to "get rid" of a variable (I'll "get rid" of x). We can't just add or subtract the equations right now, since that wouldn't lead to 0x.

Multiply the first equation by 5, and the second equation by 3. After this, both equations will have 15x. Make sure to multiply each term by 5 and 3.

15x+20y=50.25. This means that 15 coffees and 20 donuts is $50.25.

15x+21y=51.45. This means that 15 coffees and 21 donuts is 51.45.

Now since there are an equal number of coffees, we can subtract these equations.

(15x+21y=51.45)-(15x+20y=50.25) equals y=1.20 (a donut costs $1.20).

Plug the price of the donut into y to find x; 3x+4(1.20)=10.05. The value of x is 1.75. The price of a coffee is 1.75.

You can multiply 1.75 by 4 to find the price of 4 coffees and 1.20 by 6 to find the price of 6 donuts.

1.75*4 is 7.00 and 1.20*6 is 7.20.

You can add those to find the total price; 7.00+7.20=14.20.

5 0
3 years ago
Marcy determined that her father's age is the quotient of her age and 5, increased by 10. If x represents Marcy's age, write an
Hoochie [10]

Answer:

x / 5 + 10 or

Step-by-step explanation:

4 0
3 years ago
What is the value of p?<br><br> A. 133<br> B. 43<br> C. 47<br> D. 90
vova2212 [387]
The answer is b. 43!!
7 0
3 years ago
1.172 as a percentage?
hodyreva [135]

Answer: 117.2%

Step-by-step explanation:

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.


Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.

= (1.172 × 100) × 1/100=117.2/100


Write in percentage notation: 117.2%

8 0
3 years ago
Read 2 more answers
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