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BaLLatris [955]
3 years ago
14

Given that point A is the midpoint of line segment ED, where E( -1,9) and A(4,5), what is the location of point D?

Mathematics
1 answer:
yuradex [85]3 years ago
8 0

Answer:

  D(9, 1)

Step-by-step explanation:

A being the midpoint means its coordinates satisfy ...

  A = (E + D)/2

Solving for D, we find ...

  D = 2A -E

  = 2(4, 5) -(-1, 9) = (2·4 +1, 2·5 -9)

  D = (9, 1)

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The enrollment at a community college this year is 115% of last year’s enrollment. If there were 1,240 students enrolled at the
wlad13 [49]

Answer:

Multiply 1240 by 1.15 to get 1426 students enrolled this year.

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5 0
2 years ago
PLEASE HELP!!!!!!!!!!!!1
skelet666 [1.2K]
A. Let x = cheese and
y = chocolate
2x + y = 25
x + y = 20

B. Subtract the second equation from the first.
2x + y = 25
-(x + y = 20)
-—————
x = 5

Plug 5 back in to the second equation and solve for y.
x + y = 20
5 + y = 20
Subtract 5 from both sides.
y = 15
5 cheese and 15 chocolate

Used elimination method because coefficients on the y values were both 1 so it was easy to subtract the equations and eliminate the y variable.


5 0
3 years ago
The equation P= 21 + 2w models the perimeter, P, of a rectangle with a length of / units and a width of w units.
natima [27]

Answer:

width = 10 units and length = 20 units

Step-by-step explanation:

Let the width be w

so Length will be 2w

using the rectangle formula:

\sf Perimeter \ of \ rectangle= 2L + 2W

\sf 60= 2(2w) + 2w

\sf 60= 4w + 2w

\sf 60= 6w

\sf w = 10 \ units

Find length:

\sf length = 2w

\sf length = 2(10)

\sf length = 20 \ units

5 0
2 years ago
Read 2 more answers
Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
Mashcka [7]

9514 1404 393

Answer:

  x = 20, or 125

Step-by-step explanation:

We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.

__

The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.

  x° = 90° -70°

  x = 20

__

If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...

  x° = 180° -(180° -70°)/2 = 90° +70°/2

  x = 125

5 0
2 years ago
If my child had 115 of 149 questions right what percentage is the grade
maria [59]

Answer:

77.18%

Step-by-step explanation:

115:149*100 =

(115*100):149 =

11500:149 = 77.18

8 0
2 years ago
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