Statements Reasons

Given: ABCD is a rectangle.

Prove: ABCD has congruent diagonals.

B

С

1. ABCD is a rectangle

1. given

âś"x

2. draw AC and BD

2. unique line postulate

3. ZBAD and LCDA are right

angles

3. def. of a rectangle

4. ZBAD CDA

4. all right angles are

congruent

Đ

D

5. ABCD is a parallelogram

5. def. of a rectangle

Identify the steps that complete the proof.

6. AB CD

6.

7. AD AD

7. reflexive property

8. ABAD ADCB

8.

9. BD AC

9.

Intro

Move the decimal behind it

What is the inequality?

Ok here we go ..there are plenty of ways to solve such math problems but we will go for the smartest and easiest ..5x+2y=7  -2x+6y=9we rearrange them into the following ..by multiplying the 1st equation by 2 it becomes 10x + 4y = 14we rearrange it and so it becomes 10x = 14 - 4yas for the second equation we multiply it by 5 and rearrange it so it becomes as to the following ..-10x + 30y = 45rearranging so 10x = 30y -45now 10x equals both 14 - 4y and 30y -45so   14 - 4y = 30y -4531 = 26yy= 31/26 = 1.19 or around 1.2so by now we can calculate x easily as  -2x+6y=9so 2x = 6y -9 = 6 * 31/26 - 9 = -1.84  then x = - 0.92 or around -0.9best luck!