All categories

3 years ago

Answer 5, 6 , and 7 by today please.

Mathematics

1 answer:

kherson [118]3 years ago

3 0

Answer:

Step-by-step explanation:

5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2

b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.

6. BD = DB Reflexive property

∠3 = ∠5, ∠4 = ∠6 Alt. int. angles

ΔADB = ΔCDB ASA

7. AB = BC Def. of midpoint

∠1 = ∠2 Given

∠BAE = ∠CBD Corresponding angles

ΔBAE = ΔCBD ASA

∠D = ∠E CPCTC

You might be interested in

+ 1080 156° Find the measure of the missing angle. 360 48 264 180

Ksenya-84 [330]

Answer:

Step-by-step explanation:

The 156° angle will help you in this problem.

On the opposite side, you have to find the number that equals to 180°

So that'll be: 180° - 156°

This will equal 24°

Now you have 2 angles inside the triangle, 108° and 24°

Add those 2 numbers: 108° + 24°

This will equal 132°

All triangles must equal to 180°

So you subtract: 180° - 132°

Which will equal 48°.

3 0

2 years ago

If jill climed 100 feet more how many feet above sea level would she be

Anit [1.1K]

You have to have a better question to answer that, 100 feet more what?

5 0

3 years ago

1. Suppose you have a variable X~N(8, 1.5). What is the probability that you have values between (6.5, 9.5)

Natalija [7]

Answer:

0.6826 = 68.26% probability that you have values in this interval.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

X~N(8, 1.5)

This means that $\mu = 8, \sigma = 1.5$