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slavikrds [6]
3 years ago
9

Please please help me

Mathematics
1 answer:
Yanka [14]3 years ago
6 0
Let A, M, and w represent Angelo's distance per week, Marc's distance per week, and the number of weeks of this regimen, respectively.
.. A = w +7 . . . . . . . Angelo's distance goes up 1 mile/week each week
.. M = 2w +4 . . . . . Marc's distance goes up 2 miles/week each week

a) A = M
.. w +7 = 2w +4
.. 3 = w . . . . . . . . . . subtract w+4

After 3 weeks Angelo and Marc will be running the same distance.


b) A = M = 3+7 = 2*3+4 = 10

That distance will be 10 miles per week.

_____
This problem can be a little confusing because "miles per week" is a rate, and we're talking about the rate of increase of that rate: 1 or 2 miles per week per week. It might be easier to think of the numbers as "weekly distance", rather than "miles per week".
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adoni [48]

Answers:

  1. Plane EFGH
  2. Angle 2 and angle 3
  3. Alternate exterior angles
  4. See the explanation below

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

Explanation:

Problem 1

The plane ABCD is the floor of the box or room.

The ceiling plane EFGH is parallel to the floor.

Parallel planes never intersect, must like how parallel lines in 2D never intersect. As such, parallel planes are the same distance apart.

In contrast, something like plane ABFE intersects with ABCD along the segment AB. This shows ABFE is not parallel to ABCD.

----------------------

Problem 2

Same side interior angles, aka consecutive interior angles, are inside the parallel (or nearly parallel) lines. One such example is angle 2 and angle 3. The other pair being angle 6 and angle 7. They must be on the same side of the transversal.

In contrast, alternate interior angles would be something like the pair angle 2 and angle 7. The other pair being angle 3 and angle 6. This time the angles are on alternating or opposite sides of the transversal.

----------------------

Problem 3

Angles 1 and 8 are exterior of the parallel (or nearly parallel) lines. They are on alternating sides of the transversal. Therefore, we consider them to be alternate exterior angles.

----------------------

Problem 4

The use of "alternate" refers to the idea the angles are on opposite or alternating sides of the transversal line. The transversal line is the line that crosses the two other lines that are almost parallel.

I like to think of the parallel (or nearly parallel) lines as train tracks. The transversal is the roadway that crosses both train tracks. Then we could have locations 1 and 8 on opposite sides of the roadways to represent the alternate exterior angles.

As you can probably guess or know by now, the "exterior" is from the angles being outside or exterior of the parallel (or nearly parallel) lines.

4 0
2 years ago
The first group was responsible for making 160 suits while the second group was responsible for making 25% fewer suits in the sa
egoroff_w [7]
First group rate is x+10, Second is x
First group made 160, Second made 120
Time the first group will take is 160/x+10, and second is 120/x
Equation is: 160/x+10 + 4 = 120/x
x=10, x=-30
The second group made 10 suits everyday.


3 0
3 years ago
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grin007 [14]

The correct answer choice is "3".

8 0
3 years ago
One question in a survey about what kind of cars people prefer to drive is: “Would you prefer a ‘soccer Mom’ minivan or a ‘cool
nydimaria [60]

Answer:

D

Step-by-step explanation:

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pls mark me brainliest

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3 years ago
Help me solve this equation. Find f(x)-g(x)
mojhsa [17]

Answer:

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Step-by-step explanation:

f(x) - g(x)

= x^{\frac{1}{2} } - x - (2x³ - x^{\frac{1}{2} } - x) ← distribute parenthesis by - 1

= x^{\frac{1}{2} } - x - 2x³ + x^{\frac{1}{2} } + x ← collect like terms )

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