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3 years ago

Statement Reason

Mathematics

2 answers:

Anna007 [38]3 years ago

8 0

Answer:

D. Line segment BC is congruent to line segment AD.

Step-by-step explanation:

Given ABCD is a rectangle

AB=CD and BC= AD

1.Statement: ABCD is a rectangle.

Reason: Given

2.Statement: Line segment AB and line segment CD are parallel

Reason: By definition of parallelogram

3.Statement : Line segment AD and line segment BC are parallel

Reason: By definition of parallelogram

4.Statement: $\angle CAD \cong \angle ACB$

Reason: Alternate interior angles theorem

5. Statement: $\angle ADB \cong\angle CBD$

Reason: Alternate interior angles theorem.

6. Statement :Line segment BC is congruent to line segment AD

7.Statement: $\triangle ADE \cong CBE$

Reason: Angle-Side_ Angle (ASA)

postulate

8.. Statement: Line segment BE is congruent to line segment DE

Reason: CPCT

9. Statement: Line segment AE is congruent to line segment CE

Reason: CPCT

10. Statement: Line segment AC bisects line segment BD

Reason: By definition of a bisector

Verizon [17]3 years ago

5 0

It's D. To prove that line segment BC is congruent to line segment AD, which is the "side" of angle side angle.

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Ms. Wilson invested $34000 in two accounts, one yielding 8% interest and the other yielding 9%. If she received a total of

Digiron [165]

Answer:

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Step-by-step explanation:

Total Amount = $ 34000

Let amount invested at 8 % rate = x

Amount invested at 9 % rate = $ 34000 - x

Total interest = $ 2910

$2910 = \frac{x (8) (1)}{100} + \frac{(34000-x) (9) (1)}{100}$

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x = 306000 - 291000

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