Answer:
FED ~ MLF
Step-by-step explanation:
∠L = ∠E
∠F = ∠F
Since both angles are congruent, that would mean all angles are congruent.
If all angles are congruent, then the triangles are always similar no matter the length of the sides.
Answer:

Step-by-step explanation:
The area of a circle is found using this formula:

We know the circle's diameter is 5 feet, but we don't know the radius. Remember the diameter passes through the center from one side to the other, while the radius connects the center and the side. Therefore, the radius is half the diameter.
We know the radius is 2.5 feet and we are using 3.14 for pi. Substitute the values into the formula.

Solve the exponent.
- (2.5 ft)²= 2.5 ft *2.5 ft=6.25 ft²

Multiply.

The area of the circle is <u>19.625 square feet.</u>
∠ABX is an inscribed angle.
The measure of an inscribed angle is half the measure of the intercepted arc ⇒
arc AX = 2*∠ABX = 2 * 64 = 128°
The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the <span>intercepted arcs </span>⇒
∠ACB = (arc AB - arc AX)/2 = (152 - 128)/2 = 24/2 = 12°
No answer is possible. The instructions clearly say "Use the histogram...", which we can't do because you're keeping it hidden from us. / / / Also, by the way, we can't see the conclusions or the values, so this question is pretty much a total bust.