Mathematics, 11.07.2021 01:00 chasereynolds6302

Please help Given: F is the midpoint of AE and AB ll DE
Prove: △BFA = △DFE

Statements and Reasons

Please help

Given: F is the midpoint of AE and AB ll DE
Prove: △BFA = △DFE
Statements and Reasons

Answers: 2

Show answers

Answers

Answer from: AshlynPlayz45

See Below.

Step-by-step explanation:

We can write a two-column proof.

Statements: Reasons:

$\displaystyle 1)\, F\text{ is the midpoint of } AE$ Given

$\displaystyle 2) \, \overline{FA} \cong \overline{FE}$ Definition of Midpoint

$\displaystyle 3) \, AB\parallel DE$ Given

$\displaystyle 4)\, \angle B \cong \angle D$ Alt. Int. Angles Are Congruent

$\displaystyle 5)\, \angle A \cong E$ Alt. Int. Angles Are Congruent

$\displaystyle 6) \, \Delta BFA \cong \Delta DFE$ AAS Congruence

Answer from: Quest

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

If jklm is a trapezoid, which statements must be true?

Answer from: Quest

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

Another question on Mathematics

Mathematics, 21.06.2019 15:00

Use the graph to determine the range. which notations accurately represent the range? check all that apply. (–∞, 2) u (2, ∞) (–∞, –2) u (–2, ∞) {y|y ∈ r, y ≠ –2} {y|y ∈ r, y ≠ 2} y < 2 or y > 2 y < –2 or y > –2

Answers: 1

Answer

Mathematics, 21.06.2019 15:40

Is it true that product of 3 consecutive natural numbers is always divisible by 6? justifyyour answer

Answers: 2

Answer

Mathematics, 21.06.2019 18:20

Alana has 12.5 cups of flour with which she is baking four loaves of raisin bread and one large pretzel. the pretzel requires 2.5 cups of flour to make. how much flour is in each loaf of raisin bread? explain the steps to follow to get the answer.

Answers: 3

Answer

Mathematics, 21.06.2019 22:30

There were 25 students who answered to a survey about sports. four-fifths of them like football. how many students like football?

Answers: 2

Answer

You know the right answer?

Please help Given: F is the midpoint of AE and AB ll DE
Prove: △BFA = △DFE

Statem...

Questions