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2 years ago

15 points!!!

Mathematics

2 answers:

r-ruslan [8.4K]2 years ago

6 0

Answer:

The correct option is 4.

Step-by-step explanation:

If a figure it dilated by scale factor k, then the image and preimage are similar figures and their corresponding sides are proportional.

In triangle I, the base of the triangle is 1 unit and length of the perpendicular is 1 units.

In triangle II, the base of the triangle is 1 unit and length of the perpendicular is 2 units.

$\frac{1}{1}\neq \frac{1}{2}$

The corresponding sides are not proportional. It means both triangles are not similar. So, there is no dilation transforming triangle I into triangle II.

Therefore the correct option is 4.

Ivan2 years ago

6 0

Answer:

There is no dilation transforming triangle I into triangle II.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

If h:k = 2:5, x:y=3:4 and 2h+x:k+2y = 1:2, find the ratio h-x: k-y.

fenix001 [56]

Given:

$h:k=2:5,x:y=3:4,2h+x:k+2y=1:2$

To find:

$h-x:k-y$

Solution:

We have, $h:k=2:5$ and $x:y=3:4$ .

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

$2h+x:k+2y=1:2$

It can be written as

$\dfrac{2h+x}{k+2y}=\dfrac{1}{2}$

$\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}$

$\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}$

$2(4a+3b)=1(5a+8b)$

On further simplification, we get

$8a+6b=5a+8b$

$8a-5a=8b-6b$

$3a=2b$

$a=\dfrac{2b}{3}$

Now,

$h-x:k-y=\dfrac{h-x}{k-y}$

$h-x:k-y=\dfrac{2-3b}{5a-4b}$

$h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}$

$h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}$

On further simplification, we get

$h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}$

$h-x:k-y=\dfrac{-5b}{-2b}$

$h-x:k-y=\dfrac{5}{2}$

$h-x:k-y=5:2$

Therefore, the ratio $h-x:k-y$ is $5:2$ .

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two computers can print out a task in 26 minutes and 78 minutes, respectively. How long will it take to complete the task with b

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2 years ago

Mr X went shopping with a certain amount of money. He spent Rs. 10(¼) on buying a pen and Rs. 25(¾) in food. He then gave the re

ANEK [815]

Answer:

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Step-by-step explanation:

Given parameters:

Amount spent on buying a food = Rs. 25.75

Amount spend on buying pen = Rs. 10.25

Amount given out to friend = Rs. 16.5

Unknown:

The total money he initially had = ?

Solution:

The total money he initially had :

= amount spent on food + amount spent on pen + amount given to friend

= Rs. 25.75 + Rs. 10.25 + Rs. 16.5

= Rs. 52.5 or Rs. 52 $\frac{1}{2}$

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2 years ago

If 4/3 liters of water are enough to water 2/5 of the plants in the house, how much water is necessary to water all the plants i

Mashutka [201]

Answer:

Step-by-step explanation:

4/3 ÷ 2 = 2/3.

2/3 water waters 1/5 plants in the house.

2/3 x 5 = 10/3.

1/5 x 5 = 1.

10/3 = 3 1/3.

3 1/3 liters of water are needed to water all the plants in the house.

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1 year ago