The figure shows the front side of a metal desk in the shape of a trapezoid. What is the area of this trapezoid? 10 ft² 16 ft² 32 ft² 61 ft² Isosceles trapezoid A B C D with parallel sides BC and A D. A D is 5 feet. B C is 3 feet. A dotted segment runs from B to E where E is on side A D and angle B E F is a right angle. A dotted segment runs from point C to F where F is on side A D. Angle C F E is a right angle. C F is 4 feet. if u answer corretcly ill give u brainliest
now chop chop lads

The area of the trapezoid is 16 feet² ⇒ 2nd answered

Step-by-step explanation:

ABCD is a trapezoid where

∵ ABCD is a trapezoid

∵ AD // BC

∴ AD and BC are the bases of the trapezoid

∵ ∠BEF is a right angle

∵ ∠CFE is a right angle

∵ E and F are on the side AD

∴ BE and CF are perpendicular  to AD

∴ BE and CF are the heights of the trapezoid ABCD

The formula of the area of a trapezoid is , where

and are its parallel sides and h is its height

∵ AD and BC are the bases of the trapezoid

∵ AD = 5 feet and BC = 3 feet

∴ = 5 and = 3

∵ CF is the height of the trapezoid

∵ CF = 4 feet

∴ h = 4

- Substitute all of these values in the formula of the area

∴

∴ A = 16 feet²

The area of the trapezoid is 16 feet²

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1