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iren [92.7K]
2 years ago
15

How are pairs of alternate interior angles related to one another? How are pairs of alternate exterior angles related to one ano

ther? Describe the relationship between these pairs using geometric terms.
Mathematics
1 answer:
eduard2 years ago
4 0

Answer:Each pair of alternate interior angles is congruent, and each pair of alternate exterior angles is congruent.

Step-by-step explanation:

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6. We want to build the smallest cube possible using bricks with dimensions 8 cm - 12 cm 20 cm. How many bricks do we need?​
Georgia [21]

Answer:

1200

Step-by-step explanation:

We’ll need a number that is evenly dividable by all three values: 8,12 & 15. We can develop the generic common multiple by multiplying all three numbers and get 1440. But is that the smallest common multiple? The quick and dirty way to factor the number is to divide it by it’s various elements and see what works. In this case 1440/12=120 which is the smallest common multiple of the three numbers. The smallest length is therefore 120.

In order to find how many bricks just divide (120x120x120)/(8x12x15)=1200 bricks

7 0
2 years ago
For homework, Brooke has 15 math problems, 5 social studies problems, and 9 science problems. Use mental math to determine how m
koban [17]

Answer:

29 homework problems

Addition Property was used

Step-by-step explanation:

15+5=20+9=29

Addition

8 0
3 years ago
If a = 5, what is the value of a-3?​
Gwar [14]

Answer:

2

Step-by-step explanation:

5-3=2

3 0
2 years ago
Read 2 more answers
If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price
Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

P = 170 - Q

The Marginal cost is given by

MC = 52

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2

The Marginal revenue is the derivative of the Total revenue,

MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\

Assuming that the monopolist maximizes profits,

MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59

Therefore, the quantity is 59 units.

The price of each good is

P = 170 - Q \\\\P = 170 - 59 \\\\P = 111

Therefore, the price is $111.

3 0
3 years ago
Am I right or wrong (don't answer the last one!)
S_A_V [24]

Answer:

1) Distributive Property of Multiplication (The terms are distributed)

2) Addition property of equality (Adding 14 to both sides)

3) Simplifying (We simplified the expression)

4) Division property of equality (Dividing both sides by 6)

6 0
3 years ago
Read 2 more answers
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