The smaller triangle is a dilation of the larger triangle with a center of dilation at (2,−1) .

Mathematics

2 answers:

andrew-mc [135]3 years ago

3 0

Answer:

Option B. 1/2

Step-by-step explanation:

The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).

we have to calculate the scale factor of the dilation.

One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.

If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2

Therefore Option B. 1/2 is the answer.

son4ous [18]3 years ago

3 0

Answer:

B. 1/2

Step-by-step explanation:

See picture

You might be interested in

Help me with this please

Mashcka [7]

Answer-146

Add all the numbers and because 360 is how much a circle is equal to subtract 360 by 68 which is what you will get if you add the numbers up and after you will get 246 so just divide 246 by 2 and u get 146

7 0

2 years ago

Mariana runs at a rate of 300 meters how far does she run in 8 minutes

IgorC [24]

Answer:

well if this is by 300meters in one minutes then it would be 2400 meters

7 0

3 years ago

john spent half of his weekly allowance at the batting cages. to earn more money his parents let him vacuum the house for $6. wh

KATRIN_1 [288]

Answer:

$28

Step-by-step explanation:

First to solve this get the original amount before his parents gave him $6

20-6=14

So he had $14 after spending it at the batting cages.

It is stated he spent half of his money there so multiply 14 by 2

14 x 2=28

So he has a weekly allowance of $28

4 0

3 years ago

Problem PageQuestion An automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 wer

8_murik_8 [283]

Answer:

Probability that the first vehicle selected is a motorcycle and the second vehicle is a van is (24/187) or 0.1283.

Step-by-step explanation:

We are given that an automobile manufacturing plant produced 34 vehicles today: 16 were motorcycles, 9 were trucks, and 9 were vans.

Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles.

As we know that, Probability of any event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$