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pantera1 [17]
3 years ago
5

Need this turned in by tonight. Solving for x. My brain is fried, I have been doing math for the last 4 hour.Help!!!!!

Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer:

  • 18. x = 24.5
  • 19. x = 4
  • 21. x = 10

Step-by-step explanation:

Corresponding sides have same ratio

Q18

  • 7/6 = x / (27- 6)
  • 6x = 7*21
  • x = 147/6
  • x = 24.5

Q19

  • (x + 5)/15 = (5x + 1)/35
  • (x + 5)/3 = (5x + 1)/7
  • 7(x + 5) = 3(5x + 1)
  • 7x + 35 = 15x + 3
  • 15x - 7x = 35 - 3
  • 8x = 32
  • x = 4

Q21

  • (x + 6)/24 = (2x - 2)/27
  • (x + 6)/8 = (2x - 2)/9
  • 8(2x - 2) = 9(x + 6)
  • 16x - 16 = 9x + 54
  • 16x - 9x = 54 + 16
  • 7x = 70
  • x = 10
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The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the
Vera_Pavlovna [14]

Given parameters:

Midpoint of AB =  M(3, -1)

Coordinates of A = (5,1)

Unknown:

Coordinates of B = ?

Solution:

To find the mid point of any line, we use the expression below;

              x_{m}   = \frac{x_{1} + x_{2}  }{2}    and y_{m}  = \frac{y_{1} + y_{2}  }{2}

where x_{m}  and y_{m} = coordinates of the mid points = 3 and -1

   x₁  = 5 and y₁ = 1

  x₂ = ?  and y₂ = ?

Now let us input the variables and solve,

            3  = \frac{5 + x_{2} }{2}           and     -1 = \frac{1 + y_{2} }{2}

    5 +  x₂  = 6                          -2 = 1  + y₂

            x₂ = 1                             y₂ = -2 -1 = -3

The coordinates of B = 1, -3

6 0
3 years ago
What is an equation of the line that passes through the points (8, -3) and (8,4)
weeeeeb [17]

Answer:

x = 8

Step-by-step explanation:

Notice that the x-coordinates of the two points are both 8.  Thus, the points are on the vertical line x = 8.

3 0
3 years ago
Plese i need help on this one !!!!!!!
patriot [66]

Answer:

I got 32.

Step-by-step explanation:

I used the Pythagorean theorem to find the lengths of the width and length. The length between (-1, 4) and (3, 3) was approximately 4 in. The distance between (-1, 4) and (-3, -4) was approximately 8 in. I then used those numbers to find the perimeter ((2*4)+(2*8))

8 0
3 years ago
Read 3 more answers
Johnson family took a trip in July. The son wanted to calculate the gas mileage in miles per gallon for his Nissan truck. When h
Nitella [24]

Step-by-step explanation:

Given data

initial mileage=24,033 miles.

cost to fill tank=$83.38

cost per gallon= $3.79

1. capacity of tank=83.38/3.79=22 gallons

remianing gas= 1/4*22= 5.5gal

gas used= 22-5.5= 16.5gal

new mileage= 24,297 miles.

mile covered= 24,297 miles.-24,033 miles.

=264miles

miles per gallon is =264/16.5

=16miles per gallon

8 0
3 years ago
-4(x+3)^2+10 convert it to standard from
Alenkasestr [34]
-4x+154 should be the answer
6 0
3 years ago
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