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Ksenya-84 [330]
2 years ago
10

Find the cardinality of the following set. A = { 12 , 14 , 16 , 18 , 20 }

Mathematics
1 answer:
madam [21]2 years ago
6 0

Answer:

2

Step-by-step explanation:

Because they are using the number line: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

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If E F = 7 , A C = 16 , and A F = 9
Vilka [71]

Answers:

CB = 14

GF = 8

FB = 9

EF is parallel to CB

====================================

Explanations:

Points E and F are midpoints of their respective sides. They form the midsegment EF. Because EF is a midsegment, A midsegment is half the length of its parallel counterpart, so CB is two times longer than EF. If EF is 7 units long, then CB = 2*EF = 2*7 = 14

For similar reasons, GF is parallel to AC. If AC = 16, then half of that is GF = (1/2)*AC = 0.5*16 = 8.

FB = FA = 9 as these segments have the same single tickmark to indicate they are the same length

EF is parallel to CB because EF is a midsegment, and this is one of the properties of being a midsegment. We can show that quadrilateral EGBF is a parallelogram to help prove this.

8 0
3 years ago
The measure of an angle is 12° less than twice the measure of its supplement. What is the measure of the angle?
kupik [55]
Here is the equation you should use: x + 2x - 12 = 180    
You will be solving for x. 

Combine like terms then add twelve to both sides of the equation.

3x = 192

Divide by 3 on both sides of the equation. 

x = 64

Now, plug 64 in the equation for x. 

2(64) - 12 = 116
8 0
2 years ago
The perimeter of an inceles triangle is 21 meters. The length of one
sdas [7]

Answer:

The sides are 6, 6 and 9

Step-by-step explanation:

Isosoles triangles have two sides the same length, s

Here the third side is 3 meters longer (s + 3)

therefor the perimeter is

s + s + (s + 3) = 21

Combine like terms

3s + 3 = 21

Subtract 3 from both sides

3s = 18

Divide both sides by 3

s = 6

s + 3 = 9

The sides are 6, 6 and 9

6 0
2 years ago
The original price of a jacket is $75 , you have a 25% off coupon, how much will you pay for the jacket
Damm [24]

Answer:

18.75

Step-by-step explanation:

75 is the 100% price. If you divide 75 by two you will get the 50% price. Which is 37.5. If you divide that by two you will get the 25% price which is 18.75

4 0
3 years ago
What is X when y= 9 and the equation is -3x+45
Harrizon [31]

Answer:

12

Step-by-step explanation:

I think I haven't learned this yet If I did I forgot but sorry if wrong

6 0
2 years ago
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