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3 years ago

Given: line AB is congruent to line CD and line AD is congruent to line BC. Prove: angle D is congruent to angle B

Mathematics

2 answers:

torisob [31]3 years ago

6 0

AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles

MakcuM [25]3 years ago

3 0

Ac congruent to ac by reflexive property
Triangle acd is congruent to triangle cab by side, side, side
Angle d is congruent to angle b by cpctc (corresponding parts of congruent triangles are congruent) hope this helpef

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There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro

elena55 [62]

Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that $\mu = 20.1, \sigma = 5.1$ .

You scored 24 on Exam A. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{24 - 20.1}{5.1}$

$Z = 0.76$

The composite score on Exam B is approximately normally distributed with mean 1031 and standard deviation 215.

This means that $\mu = 1031, \sigma = 215$ .

You scored 1167 on Exam B, s:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1167 - 1031}{215}$

$Z = 0.632$

You had a better Z-score on exam A, so you did better on that exam.

The correct answer is:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

3 0

3 years ago

A tank containing 35 gallons of water is leaking at a rat 1/4 gallon per minute. Write and expression to determine the number of

MrRissso [65]

Answer:

The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.Solution:Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute. Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water

Number of gallons of water left = 35 gallons – number of minutes spent rate of leakage.

Number of gallons of water left = 35 gallons – m minutes 1 gallons per minute Hence, the required expression is 35 – m

5 0

3 years ago

15 points please help

podryga [215]

Answer:

The range is y> 9

Step-by-step explanation:

8 0

3 years ago

Find the volume of the triangular prism will mark brainliest pls answer

irina [24]

Answer:

The answer is c because the five is throwing you off

7 0

3 years ago

A plane leaves at 11:22 am .and arrived at 3:13 pm. how long was the flight?

ale4655 [162]

Answer:

3 hours and 51 minutes

Step-by-step explanation:

Take the ending time and subtract the start time

3:13pm - 11:22am

Remember that pm means aft 12 o'clock in the after noon so add 12 hours

12+3:13 - 11:22

15:13 - 11:22

We are subtracting more minutes than we have so we have to borrow from the hours

1 hour = 60 minutes

14 : 60+13 - 11:22

14:73 - 11:22

3: 51

3 hours and 51 minutes

7 0

3 years ago