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1 year ago

How do you know if AB and CD are congruent?

Mathematics

1 answer:

Mariana [72]1 year ago

5 0

If the length of two segments is equal then the two segments are congruent.

If l(AB) = l(CD) then seg AB ≅ seg CD.

Two line segments to be congruent if and only if they have the same length.

Two shapes are congruent if they are exactly the same shape and exactly the same size. In congruent shapes, all corresponding sides will be the same length and all corresponding angle will be the same measure.

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Please show work 3d – 4 + d = 8d – (-12)

balandron [24]

Answer:

d = -4

Step-by-step explanation:

3d – 4 + d = 8d – (-12)

3d - 4 + d = 8d + 12

4d - 4 = 8d + 12

(4d - 4d) - 4 = (8d - 4d) + 12

-4 = 4d + 12

-4 - 12 = 4d (+ 12 - 12)

-16 = 4d

-16/4 = 4d/4

d = -4

4 0

2 years ago

Read 2 more answers

Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a

Diano4ka-milaya [45]

Answer:

a) The standard error would be of 8.58 pounds.

b) The margin of error is 14.11 pounds.

c) The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

Step-by-step explanation:

a.What is the standard error?

The standard error is

$s = \frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. So

$s = \frac{47}{\sqrt{30}} = 8.58$

The standard error would be of 8.58 pounds.

b.What is the margin of error at 90% confidence?

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*s = 1.645*8.58 = 14.11$

The margin of error is 14.11 pounds.

c. Using my sample of 30, what would be the 90% confidence interval for the population mean?

Lower bound: Sample mean subtracted by the margin of error.

247 - 14.11 = 232.89 pounds

Upper bound

247 + 14.11 = 261.11 pounds

The 90% confidence interval for the population mean is between 232.89 pounds and 261.11 pounds

4 0

3 years ago

X3−2=10 help plz i need help

Norma-Jean [14]

X=4
This is because
(4)3-2=10
12-2=10
10=10
This makes the statement true!
Hope this helps have a good day!

6 0

3 years ago

If a=10, What is a/ 2 plus 9

makkiz [27]

Answer:

a=14

Step-by-step explanation:

if a=10, 10/2 = 5 plus 9 = 14

5 0

3 years ago

What is the given amount converted to the given units 144 ft; inches

Tatiana [17]

Final Answer: $1728$ inches

Steps/Reasons/Explanation:

Question: What is the given amount converted to the given units 144 ft; inches?

Formula to convert feet to inches: Multiply the length value by 12.

<u>Steps</u>: Multiply 144 by 12

$144$ × $12$ = $1728$ inches

~I hope I helped you :)~

3 0

3 years ago

Read 2 more answers