All categories

4 years ago

Plot C(-1,–7), D (6,–7), E(5,3), and F(5,-5) in a coordinate plane. Are CD and EF congruent?

Mathematics

1 answer:

N76 [4]4 years ago

7 0

Answer:

No, they are not congruent

Step-by-step explanation:

By CD and EF being congruent, we want to know if they are equal.

What we can simply do here is to find the distance between the points present.

That is, the distance between C and D, the distance between E and F

To get the distances between two points , we use the following equation

D = √(x2-x1)^2 + (y2-y1)^2

For CD, we have

D = √(6 -(-1)^2 + (-7 + 7)^2

D = √(7)^2 = 7 units

For EF, we have

D = √(5-5)^2 + (-5-3)^2

D = √(-8)^2

D = √(64) = 8 units

This clearly shows that they are both not congruent

You might be interested in

Why is an iron skillet good for cooking hamburgers?

vredina [299]

When you cook hamburger patties on an open grate, the fat from the burgers seeps out and falls down into the grill. Cooking in a cast-iron skillet traps the fat and prevents it from falling into the heat source. Cooking directly on the grill grates allows fat and flavorescape.

7 0

3 years ago

Read 2 more answers

The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read

Firlakuza [10]

Answer:

The mean and standard deviation changed to 23.5 and 14.62 respectively, based on all 12 samples.

Step-by-step explanation:

We are given that the Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each.

Representing the data in tabular form;

X $X - \bar X$ $(X - \bar X)^{2}$

36 36 - 20.5 = 15.5 240.25

14 14 - 20.5 = -6.5 42.25

21 21 - 20.5 = 0.5 0.25

39 39 - 20.5 = 18.5 342.25

11 11 - 20.5 = -9.5 90.25

2 2 - 20.5 = -18.5 342.25

Total 1057.5

Now, the mean of these value is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{36+14+21+39+11+2}{6}$

= $\frac{123}{6}$ = 20.5

Standard deviation formula for discrete distribution is given by;

Standard deviation, $\sigma$ = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{1057.5 }{6-1} }$ = 14.54

Now, the manager has six more samples taken:

33, 45, 34, 17, 1, and 29 errors, per 1,000 scans each

So, the modified table would be;

X $X - \bar X$ $(X - \bar X)^{2}$

36 36 - 23.5 = 12.5 156.25

14 14 - 23.5 = -9.5 90.25

21 21 - 23.5 = -2.5 6.25

39 39 - 23.5 = 15.5 240.25

11 11 - 23.5 = -12.5 156.25

2 2 - 23.5 = -21.5 462.25

33 33 - 23.5 = 9.5 90.25

45 45 - 23.5 = 21.5 462.25

34 34 - 23.5 = 10.5 110.25

17 17 - 23.5 = -6.5 42.25

1 1 - 23.5 = -22.5 506.25

29 29 - 23.5 = 5.5 30.25

Total 2353

Now, the mean of these value is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{36+14+21+39+11+2+33+45+34+17+1+29}{12}$

= $\frac{282}{12}$ = 23.5

Standard deviation formula for discrete distribution is given by;

Standard deviation, $\sigma$ = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{2353 }{12-1} }$ = 14.62

7 0

3 years ago

45-8÷(4-2)×9+10 how do you do this

kati45 [8]

Do PEMDAS

so do 4-2 which is 2

2 x 9 is 18 x 10 is 180

45 - 8 is 37

180 divided by 37 is 4.9

6 0

4 years ago

Read 2 more answers

Help math please. 10 points

Llana [10]

#12 is approximately 6.4

5 0

4 years ago

What is Pythagorean triples

Georgia [21]

A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.

7 0

3 years ago

Read 2 more answers