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3 years ago

Verify that each of the following transformations preserves congruence and name the congruence transformation

Mathematics

1 answer:

AnnZ [28]3 years ago

6 0

Pentagon A B C D E is reflected across the X-axis to form pentagon A B C D.

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If AB=BC,AB=4=4x-2,andBC=3x+3,fine the length of AB

laila [671]

Answer:

Step-by-step explanation:

First, I'm assuming AB=4=4x-2 was a typo and it's supposed to be AB = 4x - 2

AB=BC

AB = 4x - 2 BC = 3x + 3

4x - 2 = 3x + 3

Solve for x Add 2 to each side

4x - 2 = 3x + 3

4x - 2 + 2 = 3x + 3 + 2

4x = 3x + 5 Subtract 3x from each side.

4x - 3x = 3x- 3x + 5

4x - 3x = 5

x = 5

Now plug back in to the original equations

AB = 4x - 2 BC = 3x + 3

AB = 4 (5) - 2 BC = 3(5) + 3

AB = 20 - 2 BC = 15 + 3

AB = 18 BC = 18

So AB is 18

3 0

4 years ago

Which of the following is a proportion?

poizon [28]

Answer:

Option C, 14/21=9/21 is the proportion.

Step-by-step explanation:

Given:

a.5/7 = 10/12

b.9/15 = 12/18

c.4/6 = 8/12

d.14/21 = 9/12

We have to find the proportions.

In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.

Let's work with option C

⇒ $\frac{4}{6}=\frac{8}{12}$

To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).

Simplest form of $\frac{8/2}{12/2}$ = $\frac{4}{6}$ , $\frac{4/2}{6/2}$ = $\frac{2}{3}$

Simplest form of $\frac{4}{6}$ = $\frac{2}{3}$

Both sides in option C have equal ratios of 2/3.

So 4/6=8/12 is in proportion.

6 0

3 years ago

In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2455 subjects randomly select

Genrish500 [490]

Answer: 0.355,0.405)

Step-by-step explanation:

Given : Significance level : $\alpha=1-0.99=0.01$

Number of subjects (n) = 2455

Number of surveys returned = 931

The probability of surveys get return will be :-

$p=\dfrac{931}{2455}=0.379226069246\approx0.38$

The confidence interval for proportion is given by :-

$p\pm z_{\alpha/2}\times\sqrt{\dfrac{p(1-p)}{n}}$

$0.38\pm z_{0.005}\times\sqrt{\dfrac{0.38(1-0.38)}{2455}}\\\\=0.38\pm(2.576)0.0098\\\approx0.38\pm0.025=(0.355,0.405)$

Hence, the 99% confidence interval for the proportion of returned surveys : (0.355,0.405)

5 0

4 years ago

HELP ME PLEASE I DONT UNDERSTAND THIS !!!

ioda

The car is speeding at a rate of 33.3mph

<h3>Speed and distance of an object</h3>

If a certain car going 60 mph can stop in 180 ft, then we can express this as:

60mph = 180ft

To determine the speed for a car traveling at 100ft, we will have:

x = 100ft

Take the ratio of the expression

60/x = 180/100
180x = 6000

x = 33.3mph

Hence the car is speeding at a rate of 33.3mph

learn more on speed here: brainly.com/question/4931057

6 0

2 years ago

320% expressed as a mixed number in simplest form

andrew11 [14]

Answer:

3 20/100

Step-by-step explanation:

8 0

3 years ago