In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle adc is congruent to triangle cba given that ∠d and ∠b are right angles and dc is parallel to ab. submit the entire proof to your instructor. given: ∠d and ∠b are right angles dc || ab prove: △adc ≅ △cba statement reason 1.∠d and ∠b are right angles 1. given 2. 2. if lines are parallel, then alternate interior angles are equal 3. 3. 4. 4. hypotenuse angle theorem

step-by-step explanation:

given: ∠d and ∠b are right angles dc || ab.

to prove: △adc ≅ △cba

proof:

statement                                                                   reason

1. ∠d and ∠b are right angles                                 given

2. ac=ac                                                               common hypotenuse

3. △adc ≅ △cba                                                 hypotenuse angle theorem

therefore, △adc ≅ △cba by hl theorem.

hence proved.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet