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2 years ago

Which statement about polygon PQRST and its image after dilation, polygon P'Q'R'S'T', is correct?

Mathematics

1 answer:

solniwko [45]2 years ago

6 0

Answer:

The length of diagonal PS and diagonal P'S' are in the ratio 1:3.

Step-by-step explanation:

Comparing the coordinates of the vertices,

P(0, -3)→P'(0, -9); Q(3, -2)→Q'(9, -6); R(3, 1)→R'(9, 3); S(0, 2)→S'(0, 6); T(-2, 0)→T'(-6, 0)

We can see that the pre-image points have been multiplied by a scale factor of 3. This means comparing the pre-image sides to the image sides, the ratio is 1:3. However, we must compare corresponding sides; the only choice comparing corresponding sides with a ratio of 1:3 is PS to P'S'.

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Oliga [24]

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

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2 years ago

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3 years ago

The standard tip in a restaurant is 15% of the bill before tax. Many people in California find the tip by doubling the sales tax

cricket20 [7]

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3 years ago

Calculate the size of angle B with working I WILL MARK YOU AS BRAINLIEST

Sophie [7]

Answer:

24 degrees

Step-by-step explanation:

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6 0

3 years ago

Marge drive 290 miles in five hours. Three hours were on the interstate, then the remainder of the trip was on a road that cause

vivado [14]

Marge drove by 66 miles per hour on the interstate

Step-by-step explanation:

Marge drive 290 miles in five hours, her trip has two stages

She drove 3 hours on the interstate
The remainder of the trip was on a road that caused her to reduce her speed by 20 mph

We need to find how fast Marge drove on the interstate

Assume that she drove by speed x miles per hour on interstate

∵ Distance = speed × time

∵ Her speed on the interstate is x mph

∵ The time of interstate is 3 hours

∴ The distance of interstate = x × 3 = 3x miles

∵ The time of the total trip is 5 hours

∵ She spent 3 hours on the interstate

∴ The time of the remainder of the trip = 5 - 3 = 2 hours

∵ She reduced her speed 20 mph for the remainder of the trip

∴ Her speed on the remainder of the trip = x - 20 mph

∴ The remainder distance = (x - 20) × 2

∴ The remainder distance = 2x - 40 miles

∵ The total distance of the trip is 290 miles

- Equate the sum of the two distances above by 290

∴ 3x + 2x - 40 = 290

- Add the like terms in the left hand side

∴ 5x - 40 = 290

- Add 40 to both sides

∴ 5x = 330

- Divide both sides by 5

∴ x = 66

Marge drove by 66 miles per hour on the interstate

Learn more:

You can learn more about speed, time and distance in brainly.com/question/9998060

#LearnwithBrainly

7 0

3 years ago