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IrinaK [193]
3 years ago
7

What is the length of DE?

Mathematics
1 answer:
g100num [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Yes

Theorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.

∠A and ∠B are complementary, and ∠C and ∠B are complementary.

Given: ∠A and ∠B are complementary, and ∠C and ∠B are complementary.

Prove: ∠A ~= ∠C.

 Statements Reasons

1. ∠A and ∠B are complementary, and ∠C and ∠B are complementary. Given

2. m∠A + m∠B = 90º , m∠C + m∠B = 90º Definition of complementary

3. m∠A = 90 º - m∠B, m∠C = 90º - m∠B Subtraction property of equality

4. m∠A = m∠C Substitution (step 3)

5. ∠A ~= ∠C Definition of ~=

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Luis earns $30 washing 3 dogs. At this rate, how many dogs did Luis wash to earn $70?​
Nadusha1986 [10]

Answer:

7 dogs

Step-by-step explanation:

$30/3 = how many dollars per dog

$10 per dog he washes

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4 0
3 years ago
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Today there are a total of six toll-free area codes: 800, 844, 855, 866, 877, and 888. Assume that all seven digits for the rest
Ludmilka [50]

Answer:

6 \times 10^{7}

Step-by-step explanation:

Total number of toll-free area codes = 6

A complete number will be of the form:

800-abc-defg

Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.

Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.

Considering: 800-abc-defg

The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.

Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:

Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10^{7}

Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes = 6 \times 10^{7}

4 0
3 years ago
What is the rate of change for both of these tables. 25 pts
Rudiy27

Answer:

For the table on the left the rate of change is  22.8

For the table on the left the rate of change is -2

Step-by-step explanation:

The range of change is the slope. The slope can be found with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

<u>For the table on the left</u>

Choose two points. In this case you can choose (-1,-24), (4,90)

You can say that:

y_2=-24\\y_1=90\\\\x_2=-1\\x_1=4

Substituting these values into the formula, you get:

m=\frac{-24-90}{-1-4}\\\\m=22.8

<u>For the table on the right</u>

Choose two points. You can choose (3,-6), (-6,12)

You can identify that:

y_2=-6\\y_1=12\\\\x_2=3\\x_1=-6

Substituting these values into the formula, you get:

m=\frac{-6-12}{3-(-6)}\\\\m=-2

4 0
3 years ago
F(x) = -6(x + 2) - 3<br> Find the inverse relation
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Step-by-step explanation:

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I need the help pls
Gnoma [55]

Answer:

A,C,B

is the answer

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