Find the shaded AREA

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

8 0

Answer:

26 sq. in

Step-by-step explanation:

Area of the shaded region = Total area of the figure - Area of the square inside.

The figure with dimensions 5 in. and 7 in. is a rectangle.

So, Area of the rectangle = 5 X 7 = 35 sq. in.

Area of the square inside = 3² = 9 sq. in.

Therefore, Area of the Shaded figure = 35 - 9 = 26 sq. in.

Hence, the answer.

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Triangle PQR has coordinates P(–8, 3), Q(–8, 6), and R(–3, 6). If the triangle is translated by using the rule (x, y) right-arro

omeli [17]

Answer:

Step-by-step explanation:

The rule (x, y ) → (x + 4, y - 6 )

means add 4 to the original x- coordinate and subtract 6 from the original y- coordinate, thus

P(- 8, 3 ) → P'(- 8 + 4, 3 - 6 ) → P'(- 4, - 3 )

Q(- 8, 6 ) → Q'(- 8 + 4, 6 - 6 ) → Q'(- 4, 0 )

R(- 3, 6 ) → R'(- 3 + 4, 6 - 6 ) → R'(1, 0 )

6 0

3 years ago

Endpoint: (1,7), midpoint: (-10,10)

algol [13]

The answer is (-21, 13) for The second endpoint.

Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 1)/2 = -10

Kx + 1 = -20

Kx = -21

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + 7)/2 = 10

Ky + 7 = 20

Ky = 13

This gives us the final point of (-21, 13)

5 0

3 years ago