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3 years ago

These are two angles that add up to 180° that share a common vertex. What do you call these angles?

Mathematics

1 answer:

Yuri [45]3 years ago

8 0

Answer:

• linear angles

• supplementary angles (all linear angles are supplementary)

Step-by-step explanation:

If the angles share a side and are measured in opposite directions from that side, the non-common edges of these angles form a straight line, so these angles are sometimes called "linear" angles.

Since their sum is 180°, they are always "supplementary" angles. (Supplementary angles need not share a vertex or a side.)

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How do we figure this out

lisov135 [29]

Answer:

Pair 1: 10 cm and 2 cm. and the sum is 12 cm.

Pair 2: 20 cm and 4 cm. and the sum is 24 cm.

Step-by-step explanation:

Area of a rectangle is given by A = LW, where L is the length and W is the width of the rectangle.

Pair 1:

For the first rectangle W = 4 cm and A = 40 sq, cm

Then $L = \frac{A}{W} = \frac{40}{4} = 10$ cm.

For the second rectangle W = 4 cm and A = 8 sq, cm

Then $L = \frac{A}{W} = \frac{8}{4} = 2$ cm.

Therefore, the sum of two unknown lengths = 10 + 2 = 12 cm. (Answer)

Pair 2:

For the first rectangle W = 4 cm and A = 80 sq, cm

Then $L = \frac{A}{W} = \frac{80}{4} = 20$ cm.

For the second rectangle W = 4 cm and A = 16 sq, cm

Then $L = \frac{A}{W} = \frac{16}{4} = 4$ cm.

Therefore, the sum of two unknown lengths = 20 + 4 = 24 cm. (Answer)

8 0

3 years ago

The dimensions of a big dog house are 2 1/2 the dimensions of a small dog house. If the width of the small doghouse is 2 feet, w

Alchen [17]

The width of the big dog house is 2.5 times the small dog house.
multiply 2 by 2.5 to get your answer. hope this helps :)

6 0

4 years ago

The Potter Valley basketball team did not record how many baskets each player made during the last game. Jenny remembers that sh

lesya692 [45]

Answer: The approximate values that every player make are,

Tammy = grace = 5.43 baskets

Jenny = 16.30 Baskets

Alex = 11.43 Baskets

Joan = 1.43

Step-by-step explanation:

Let Grace made x baskets.

Then According to the question,

Jenny made baskets = 3x

Alexis made basket = x + 6

Joan made basket = x - 4

Tammy made baskets = x

Since, Altogether the five players made 40 baskets.

⇒ x+ 3x + x + 6 + x - 4 + x = 40

⇒ 7x + 2 = 40

⇒ 7x = 38

⇒ x = 38 / 7 = 5.42857142857 ≈ 5.43

Thus, Grace made baskets= Tammy made baskets = x = 5.43

Jenny made baskets = 3 × x = 16.2857142857 ≈ 16.30

Alexis made basket = x + 6 = 11.4285714286 ≈ 11.43

Joan made basket = x - 4 = 1.42857142857

≈ 1.43

5 0

3 years ago

A bicycle store costs $3500 per month to operate. The store pays an average of $75 per bike. The average selling price of each

vfiekz [6]

Answer: the store needs to sell 50 bicycles each month to break even

Step-by-step explanation:

The average selling price of each bicycle is $145.

When we talk of break even, we are referring to the point at which the income being accrued from a business is equal to the total cost of running the business. At this point, their is no profit and there is no loss.

From the example information given,

Total cost of running the business will be

cost of operating the bicycle store + the total amount the store pays per bike.

cost of operating the bicycle store

= $3500 per month

The store pays an average of $75 per bicycle. If the store buys x bicycles per month, then,

Total the total amount the store pays per bike = 75 × x = 75x

Total cost of running the business per month

= 3500 + 75x - - - - - - -1

The average selling price of each bicycle is $145. This means that the selling price for x bicycles will be

145 × x = 145x

Therefore , total income is $145x

To break even,

145x = 3500 + 75x

145x - 75x = 3500

70x = 3500

x = 3500 / 70 = 50

8 0

3 years ago

What statement complete the proof below given 3x+ 7=x-5

Advocard [28]

Proof: x=-6

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4 0

3 years ago

Read 2 more answers