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Evgesh-ka [11]
3 years ago
6

Triangle Congruency Proofs: Complete each proof. Remember to MARK THE DIAGRAM

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

<u>Statement </u>          <u>Reason</u>

AC ≅ AR              Given

∠1 ≅ ∠2                Given

∠A ≅ ∠A              Vertical angles

ΔCAT ≅ ΔRAD    ASA postulate

∠1 ≅ ∠2                corresponding parts of congruent triangles are congruent.

Step-by-step explanation:

For the third statement, I'm assuming from the picture that points C, A and D are collinear, and points T, A and R are also collinear.

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Factor completely: 5n^2 - 80
Vesnalui [34]
Answer:
5(n-4)(n+4)
Step-by-step explanation:
given that
5n²-80
first we take common factor.
5(n²-16)
now we use the sum product pattern
5(n²+4n-4n-16)
We take common factor from pairs
5(n(n+4)-4(n+4))
5(n+4)(n-4).

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4 0
1 year ago
Read 2 more answers
Please help me with this question ​
Nady [450]
Your answer is 8/5

If you plug it in, you get:
8/(2+3)

Add the 2 and 3 and you’ll get

8/5
6 0
3 years ago
The factors of m^2 + 12m + 35 are?
valina [46]
M^2 + 12m + 35

Factored:
(m+5)(m+7)

Check:
(m+5)(m+7)
(m*m) + (m*7) + (5*m) + (5*7)
m^2 + 12m + 35

Hope this helps! :)
5 0
3 years ago
Data on tuition and mid-career salary are collected from a number of universities and colleges. The result of the data collectio
alexira [117]

Answer:

1. annual tuition 2. $-27139 3. slope = -0.91

Step-by-step explanation:

1. An independent variable is the factor that is not determined by the model in this case the annual tuition variable (the linear regression model factor)

2. substitute $30,000 into the linear regressions equation gives:

y = -0.91(30000) + 161 = -27139

This value tells us that when the annual tuition is $30,000 the average mid-career salary of graduates is predicted to be -$27,139

3. the slope if the regression is represented by the coefficient of the factor in the linear regression model. In this case, as the factor is x or the annual tuition, and the coefficient of this variable in the given example is -0.91 which in turn is the slope of the model.

8 0
4 years ago
your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it w
diamong [38]

I would be better to purchase whole onions at $1.99 per pound, and cut them yourself

<h3>Optimization of cost</h3>

Number of bowls = 50

Weight of each bowl = 8

Total weight of the onion soup = 8 x 50 = 400 ounces

Note that:

1 pound = 16 ounces

Total weight in pounds = 400/16

Total weight in pounds = 25 pounds

If you buy the whole onions and purchase at $1.99 per pound

Total cost = 25 x 1.99 = $49.75

If you purchase pre-sliced onions at $2.99 per pound

Total cost = 25 x $2.99 = $74.75

Since it is cheaper to purchase whole onions at $1.99 per pound, it is the better choice

Learn more on cost optimization here: brainly.com/question/27468665

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6 0
2 years ago
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