Complete the two-column proof by providing a reason for each of the five statements. Given: Rectangle RUTS
Prove: ∠USR = ∠SUT

Reason:

1) assumptions given

2) RUTS is a rectangle

3) RUTS is a rectangle

4) because:

+) ∠STU and ∠SRU are the right angles

+) RU = ST; UT = RS

=> ΔURS ≅ ΔSTU (SAS)

5) because  ΔURS ≅ ΔSTU (SAS) => ∠USR = ∠SUT

Step-by-step explanation:

Step-by-step explanation:

1. Given

2. Opposite sides of rectangles are congruent

3. interior angles of rectangles are 90 degrees

4. Hypotenuse leg theorem

5. CPCTC

hope this helps

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

98%

step-by-step explanation: