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8090 [49]
3 years ago
14

In the picture lines A B and CD are parallel. Find the measures of the following angles. Explain your

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0
1) 38 bc of alternate interior angles
2) 38 bc of corresponding angles
3) 142 bc of supplementary angles and alternate exterior angles
You might be interested in
What is 15% of 140 ?
igomit [66]
140 * 0.15 = 21

15% of 140 is 21
6 0
3 years ago
Read 2 more answers
Find the product.<br> (z + 3i)(z − 3i)
Doss [256]

Answer:

First, we use distributive property:

(z+3i)(z-3i)=z^2-3zi+3zi-9i^2

Now, remember that i^2=-1, then

z^2-3zi+3zi-9i^2=z^2-9(-1)=z^2+9

Then,

(z+3i)(z-3i)=z^2+9

8 0
3 years ago
A cube measures 3.0 CM on each side and has a mass of 25g. What is the density?
Oxana [17]

Answer:

D ≈ 0.925926 g/cm³

Step-by-step explanation:

Density = Mass / Volume

Step 1: Define

M = 25 g

V = (3 cm)³ = 27 cm³

D = ?

Step 2: Substitute and Evaluate for Density

D = 25g / 27 cm³

D = 25/27 g/cm³

D ≈ 0.925926 g/cm³

8 0
4 years ago
The Arc Electronic Company had an income of 7676 million dollars last year. Suppose the mean income of firms in the same industr
garri49 [273]

Answer:

0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year

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 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.

Suppose the mean income of firms in the same industry as Arc for a year is 90 million dollars with a standard deviation of 7 million dollars.

This means that \mu = 90, \sigma = 7

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 76 million, so this is 1 subtracted by the pvalue of Z when X = 76.

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

Z = \frac{76 - 90}{7}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year

3 0
3 years ago
Find the quotient. -1/5 divided by 1 2/8
Serjik [45]

Answer:

-4/25

Step-by-step explanation:

-1/5 ÷ 1 2/8

-1/5 ÷ 10/8

-1/5 ÷ 5/4

-1/5 * 4/5

-4/25

Best of Luck!

5 0
3 years ago
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