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Archy [21]
3 years ago
14

Enter values for a and b so that the system of equations shown has infinitely many solutions.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
3 0

Answer:

-2 1

Step-by-step explanation:

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What is the area of the trapezoid?
Maslowich
<h3><u>Given Information :</u></h3>

  • Length of parallel sides = 60 ft and 40 ft
  • Height of the trapezoid = 30 ft

<h3><u>To calculate :</u></h3>

  • Area of the trapezoid.

<h3><u>Calculation :</u></h3>

As we know that,

\bigstar \: \boxed{\sf {Area_{(Trapezium)} = \dfrac{1}{2} \times ( a + b) \times h}} \\

  • a and b are length of parallel sides.
  • h denotes height.

<em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>valu</em><em>es</em><em>,</em><em> </em><em>we</em><em> </em><em>get</em><em> </em>:

\longmapsto Area = \sf \dfrac{1}{2} × ( 60 + 40 ) × 30 ft\sf ^2

\longmapsto Area = \sf \dfrac{1}{2} × 100 × 30 ft\sf ^2

\longmapsto Area = 1 × 100 × 15 ft\sf ^2

\longmapsto Area = 100 × 15 ft\sf ^2

\longmapsto <u>Area = 1500 ft</u>\sf ^2

Therefore,

  • Area of the trapezoid is <u>1500 ft\sf ^2</u>

6 0
3 years ago
Marisol has 5 times as many books as jerry. Jerry has 15 books. How many more books does marisol have
ICE Princess25 [194]

Answer:

5 times more books

Step-by-step explanation:

In total Marisol has 75 books.  She has 5 times as many books and Jerry has 15.  5*15=75

6 0
2 years ago
Find the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. J(2,
MAVERICK [17]

Applying a dilation centered at the origin with scale factor k has the effect of multiplying both coordinates of a point by k:

(x,y)\mapsto (kx,ky)

So, in your case, the coordinates of the points double:

J'=(4,8),\quad K'=(8,8),\quad P'=(6,4)

4 0
3 years ago
ILL MARK BRAINLIEST HELP!!!!
stepan [7]

Answer:

30

Step-by-step explanation:

let EFH = x

Let GFH = y

x + y = 90

x = 2y

Substitute: 2y + y = 90

3y = 90

y = 30

5 0
3 years ago
Calculate the shaded area of the figure.
stiv31 [10]

Answer:

36.5cm²

Step-by-step explanation:

Area of quarter circle=8²\pi/4=64\pi/4=16\picm²

Area of square+Area of shaded region =2(16\pi)=32\pi=100.5cm²

Area of square=8²=64cm²

Area of shaded region=100.5cm²-64cm²=36.5cm²

Therefore, the area of the shaded region is 36.5cm².

6 0
4 years ago
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