Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

$A_s=2 * A_t$

Where At is the area of each triangle.

$\displaystyle A_t=\frac{AB*BC/2}{2}$

$\displaystyle A_t=\frac{AB*BC}{4}$

We know AB=3 and BC=2, thus:

$\displaystyle A_t=\frac{3*2}{4}=\frac{6}{4}$

Simplifying:

$\displaystyle A_t=\frac{3}{2}$

Finally:

$\displaystyle A_s=2 * \frac{3}{2}$

$A_s=3$

The area of the shaded region is 3.

Note the area of the shaded region is half the area of the rectangle.

3 0

3 years ago

What is the speed of a horse that runs a distance of 2,592 meters in 144 seconds? ____meters

horsena [70]

Answer: 18 meters/s

Step-by-step explanation: Divide meters by seconds to find out how many meters the horse traveled per second.

4 0

2 years ago

Given the equation y = 4 + 2x find the values for y given the value x

Leviafan [203]

Answer:

If x = 3 then y = 10

If x = -3 then y = -2

If x = 4 then y = 12

If x = -2 then y = 0

4 0

3 years ago

4.06 Question 2

Rudiy27

Answer:

$\large\boxed{C.\ 75 < x < 110\ and\ 0 < y\leq50}$

Step-by-step explanation:

x - the temperature

y - the number of people

the temperature is between 75 degrees and 110 degrees:

75 < x < 110

the room for 50 people:

0 < y ≤ 50

4 0

3 years ago