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Yanka [14]
1 year ago
9

On a coordinate plane, polygons A B C D and A prime B prime C prime D prime are shown. The points of A B C D are (2, negative 2)

, (4, negative 2), (3, negative 4), and (1, negative 4). The points of A prime B prime C prime D prime are (3, negative 3), (6, negative 3), (4.5, negative 6), (1.5, negative 6).
Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.

The length AB is 2.
The length A'B' is 3.
The image is smaller than the pre-image.
The scale factor is Three-halves.
The scale factor is Two-thirds.
Mathematics
2 answers:
umka2103 [35]1 year ago
7 0

Answer:

A, B, and D

Step-by-step explanation:

yw enjoy summer

grigory [225]1 year ago
6 0

Polygon ABCD was dilated by a scale factor of 3/2 to form polygon A'B'C'D'. The scale factor used was 3/2. The length AB is 2 and the length A'B' is 3.

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure.

AB=\sqrt{(4-2)^2+(-2-(-2))^2}=2\ units

Polygon ABCD was dilated by a scale factor of 3/2 to form polygon A'B'C'D'. The scale factor used was 3/2. The length AB is 2 and the length A'B' is 3.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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Researchers are investigating the effectiveness of leg-strength training on cycling performance. A sample of 7 men will be selec
ruslelena [56]

Answer:

A. The interval will be narrower if 15 men are used in the sample.

Step-by-step explanation:

Hello!

When all other things remain the same, which of the following statements about the width of the interval is correct?

A. The interval will be narrower if 15 men are used in the sample.

B. The interval will be wider if 15 men are used in the sample.

C. The interval will be narrower if 5 men are used in the sample.

D. The interval will be narrower if the level is increased to 99% confidence.

E. The interval will be wider if the level is decreased to 90% confidence.

Consider that the variable of interest "Xd: Difference between the peak power of a cyclist before training and after training" has a normal distribution. To construct the confidence interval for the population mean of the difference you have to use a pooled t-test.

The general structure for the CI is "point estimate"±" margin fo error"

Any modification to the sample size, sample variance and/or the confidence level affect the length of the interval (amplitude) and the margin of error (semiamplitude)

The margin of error of the interval is:

d= t_{n-1;1-\alpha /2} * (Sd/n)

1) The sample size changes, all other terms of the interval stay the same.

As you can see the margin of error and the sample size (n) have an indirect relationship. This means, that when the sample size increases, the semiamplitude decreases, and when the sample size decreases, the semiamplitude increases.

↓d= t_{n-1;1-\alpha /2} * (Sd/↑n)

↑d= t_{n-1;1-\alpha /2} * (Sd/↓n)

Correct option: A. The interval will be narrower if 15 men are used in the sample.

2) The confidence level has a direct relationship with the semiamplitude of the interval, this means that when the confidence level increases, so do the semiamplitude, and if the level decreases, so do the semiamplitude:

↓d= ↓t_{n-1;1-\alpha /2} * (Sd/n)

↑d= ↑t_{n-1;1-\alpha /2} * (Sd/n)

I hope it helps!

4 0
3 years ago
You are starting a new job as a assistant software designer for Tabby Soft. Your hourly wage is $12.00 per hour, you get time an
Ghella [55]

Answer:

$24,960

Step-by-step explanation:

1. Find daily salary (12*8 hours = 96/day)

2. find weekly salary (96*5 days = 480/week)

3. find annual salary (480*52 weeks = 24,960/year)

3 0
3 years ago
Leslie bought an
Evgen [1.6K]

Answer:

$1.00

hopefuly this helped if not let me know!

5 0
2 years ago
Read 2 more answers
Rewrite each of the following sentences using logical connectives. Assume that each symbol!, x₀, n, x, B represents some fixed o
katrin [286]

Answer:

a) (f\  has\  a\  relative \ minimum \ at\  x_{0} ) ∧ (f\ is\ differenciable\ at\ x_{0} ) ⇒ f^{'} (x_{0} )=0.

b) (n\ is\ prime) ⇒ (n=2) ∨ (n\  is \ odd).

c) R\ is \ irreflexive\ ⇒ (R\ is\ symmetric) ∧ (R\ is\ transitive).

d) detB=0 ⇒ (B \ is\ square) ∧ (B\ is\ not\ invertible).

e) f\ has\ a\ critical\ point\ at \ x_{0} ⇔ (f^{'}(x_{0})=0) ∨ () \ f^{'}(x_{0}) \ does\ not\ exist.

f) 2n ∨ n>4 ⇒ 2.

g) 6\geq n-3 ⇔ n>4 ∨ n>10.

h) x \ is \ cauchy ⇒ x\ is\ convergent.

i) \lim_{x \to \ x_{0}} f(x)=f(x_{0}) ⇒ f\ is\ continous\  at \ x_{0}.

j) (f\ is\ diferenciable\ at\ x_{0}) ∧ (f\ is\ increasing\ at\ x_{0}) ⇒ f^{'}(x_{0})>0.

8 0
3 years ago
ill decides to move her fish from a 20 gallon aquarium to a 50 gallon aquarium. She added 3 tablespoons of salt to her old aquar
klemol [59]

In the old aquarium, 3 tablespoons of salt were used for 20 gallons. That's a conversion ratio of

\dfrac{3\,\rm tbsp}{20\,\rm{gal}}=0.15\,\dfrac{\rm tbsp}{\rm gal}

That is, for every gallon of water in the aquarium, there was 0.15 tbsp of salt. So a 50 gallon aquarium, Ill should add

(50\,\rm{gal})\left(0.15\,\dfrac{\rm tbsp}{\rm gal}\right)=7.5\,\rm{tbsp}

to maintain the salinity.

3 0
2 years ago
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