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2 years ago

Which of the following is a line segment in the drawing that connects two parallel lines?

Mathematics

1 answer:

charle [14.2K]2 years ago

8 0

Answer:

line segment BE

Step-by-step explanation:

Parallel lines are lines that never cross. In this case, the two parallel lines are AC and DF. A line segment is part of a line that has a point at either end. The only segment which crosses lines AC and DF is segment BE.

Also, if you look at the answer choices, the first two indicate a line ↔ above the letters, which represents a line that doesn't end, while the other two choices just have a line to indicate a segment.

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Kate made 180 ounces punch for a party. She served the punch in 8-ounce cups. How many full cups can she fill

SIZIF [17.4K]

Si tiene 180 onzas y las sirve en tazas de 8 onzas divide la cantidad entre el numero de tazas para obtener que ella puede servir 22.5 tazas aproximadamente.

8 0

3 years ago

Expand 3(t -2) 3(t-2)=

iogann1982 [59]

Answer:

I hope this helps:)

Step-by-step explanation:

3 0

2 years ago

A parabola with the vertex at (1.5, 12.5) inscribes a segment of length 5 on x-axis. What is the area of the triangle formed by

damaskus [11]

Answer:

20 units²

Step-by-step explanation:

The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at

1.5 ± 5/2 = {-1, 4}

Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...

0 = a(4 -1.5)² +12.5

0 = 6.25a +12.5 . . . . . simplify

0 = a +2 . . . . . . . . . . . divide by 6.25

-2 = a

Then the standard-form equation of the parabola is ...

y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5

y = -2x² +6x +8

This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...

A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²

5 0

2 years ago

Mis wants to earn 2,000 in her job at a bicycle store. She is paid $55 for each bicycle she tunes up. The minimum number of bicy

Natali [406]

Answer:

Step-by-step explanation:

ok. you said 2000 and 2500 so I'll just solve for both.

this is very simple, mis/mia wants to earn 2000/2500 so let's solve

this can be done two ways. an equation way, or a dividing way. I personally like the dividing way.

2000 divided by 55= 36.36-- so she will have to tune up 37 bicycles

2500 divided by 55= 45.45-- so she will have to tune 46 bicycles. this is because 46 bicycles, times the amount of money == just a little over 2500 so she has reached her goal

3 0

2 years ago

An NFL coach sometimes uses a defense that utilizes 3 defensive linemen, 4 linebackers, and 4 defensive backs. His roster (the p

Alexandra [31]

Answer:

68,600

Step-by-step explanation:

The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Defensive Lineman:

3 from a set of 8. So

$C_{8,3} = \frac{8!}{3!5!} = 56$

56 combinations of defensive lineman

Linebackers:

4 from a set of 7. So

$C_{7,4} = \frac{7!}{4!3!} = 35$

35 combinations of linebackers

Defensive backs:

4 from a set of 7. So

$C_{7,4} = \frac{7!}{4!3!} = 35$

35 combinations of defensive backs

How many different ways can the coach pick the 11 players to implement this particular defense?

56*35*35 = 68,600

68,600 different ways can the coach pick the 11 players to implement this particular defense

7 0

3 years ago