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

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x