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timama [110]
3 years ago
11

Find EF in parallelogram CDEF.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

Step-by-step explanation:

EF = CD

FC = DE               These equal lines are properties of a parallelogram.

2y = 3y - 17          Add 17 to both sides

2y + 17 = 3y         Subtract 2y from both sides.

2y-2y+17 =3y-2y

y = 17

CD = y + 43

CD = 17+43

CD = 60

Since CD = 60 then FE = 60

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Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo
Travka [436]

Answer: Option D

D. 880 = 45d + 70; 18\ days

Step-by-step explanation:

We know that the cost of preschool is $ 45 per day plus a monthly fee of $ 70.

We also know that a total of $ 880 was paid last month

To write an equation that represents this situation, let us call "d" the number of days that Barry attends school

So the cost was:

45d + 70 = 880

Now we solve the equation for the variable d

45d= 880-70

d= \frac{810}{45}

d= 18\ days

Therefore answer is the option D

8 0
3 years ago
You borrow money for 4 years. The total amount that you repay is $7,840, which includes $840 in simple interest. How much was th
Lina20 [59]

Answer:

  • principal: $7000
  • interest rate: 3%

Step-by-step explanation:

amount repaid = principal + interest

$7840 = principal + $840

$7000 = principal . . . . . . . . subtract $840 from both sides of the equation

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I = Prt

840 = 7000·r·4

840/(4·7000) = r = 0.03 = 3%

The principal was $7000; the interest rate was 3%.

6 0
3 years ago
How many solutions in x^2=64
Hitman42 [59]

Answer:

x = 8

x = -8

Step-by-step explanation:

7 0
3 years ago
Simple equations with multiplication that equals 9
lions [1.4K]

Factors of 9:

1x9

3x3

9x1

Did this even help like honestly lol

5 0
3 years ago
Read 2 more answers
the base of this right prism is an equilateral triangle. the approximate height of the base is 15.6 cm. what is the approximate
Andrew [12]
Hello!

To find the surface area you can divide the prism into the 2D shapes it is made of

First list out all the shapes

2 triangles with bases of 18 and heights of 15.6
3 rectangles with side lengths of 20 and 18

First find the area of the triangles

The equation to find the area of a triangle is 

A =  \frac{hb}{2}

A is area
h is height
b is base

Put in the values you know

A =  \frac{18 * 15.6}{2}

Solve

A = 140.4

The triangles have an area of 140.4 units

Next we find the area of a the rectangles

To do this we multiply the sides

18 * 20 = 360

The rectangles have areas of 360 units

Now we add all the areas

There are 2 triangles and 3 rectangles

140.4 + 140.4 + 360 + 360 + 360 = 1360.8

The answer is B) 1360.8cm squared

Hope this helps!
6 0
4 years ago
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