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adell [148]
3 years ago
13

Answers to part a and b​

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Step-by-step explanation:

  1. m <a+m <b+m <c=180 {sum of angles in a straight line are 180}
  2. 3x+5+5x-18+7x-2=180
  3. 15x-15=180
  4. 15x=180-15
  5. 15x=165
  6. x=165/15
  7. x=11
  8. so, m<a=3x+5=3×11+5=33+5=38

m<b=5x-18=5×11-18=55-18=37

m <c=7x-2=7×11-2=77-2=75

part B: no bcuz their sum isn't 90 whereas to be complement it must be 90

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Step-by-step explanation:

what is a rational number

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2 years ago
If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newtons of force, how much work di
erica [24]

Hello!

The answer is:

Luke did a work of 308N.m or 308 Joules.

<h2>Why?</h2>

When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.

We can calculate the work done by using the following equation:

Work=Force*distance*Cos(\alpha)

Where,

Work is the transferred energy.

Force, is the force applied to the object.

Distance, is the distance covered due to the applied force.

α, is the angle at the work is done.

We are given the following information to calculate the work done:

Force=22N\\Distance=14m

So, substituting the given information into the equation to calculate work, we have:

Work=Force*distance\\Work=22N*14m=308N.m

Hence, we have that Luke did a work of 308N.m or 308 Jouls.

Have a nice day!

3 0
3 years ago
(b-2)² + 10 for b = 7​
elixir [45]

whatttttttt? i have no idea what that is

7 0
3 years ago
Can I get the answer for the questions at the bottom
aniked [119]
27)

Equation of the existing water pipe's line

a) slope, m = rise / run = Δy / Δx = 3/2

b) y-intercept, b = 3

equation: y = mx + b = (3/2)x + 3

Equation of the new water pipe's line

slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3

point (0,2)

=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe

28)

two parallel lines have the same slope =>

slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3

point (4,5) => y - 5 = (4/3) (x - 4)

=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3

y = (4/3)x - 1/3  <--- equation of the new bike path
6 0
3 years ago
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