Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:
- Given
- Definition of rectangle.
- Definition of rectangle.
- By SAS Congruence Theorem.
- By CPCTC.
<h3>What is a Rectangle?</h3>
- A rectangle is a quadrilateral.
- All four angles in a rectangle are right angles.
- The opposite sides of a rectangle are parallel and congruent to each other.
Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.
Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.
In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:
- Given
- Definition of rectangle.
- Definition of rectangle.
- By SAS Congruence Theorem.
- By CPCTC.
Learn more about properties of rectangle on:
brainly.com/question/2835318
Answer:
One.
Step-by-step explanation:
Answer:
(-2, 1)
Step-by-step explanation:
Systems of equations can be solved using different methods. For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:
-3(-5x - 3y = 7) or 15x + 9y = -21
5(-3x - 4y = 2) or <u>-15x -20y = 10</u>
-11y = -11
y = 1
Solve for x: -5x - 3 = 7
Add 3 to both sides: -5x -3 + 3 = 7 + 3 or -5x = 10
Solve for x: x = -2
(-2, 1)
Answer:
Miles: 35; Gallons: 1
Step-by-step explanation:
The number of gallons can be any number of your choosing that is less than 12, which is the capacity of the tank. For the purpose here, 1 is a convenient number. To find the corresponding number of miles (m), you need to solve the proportion ...
420/12 = m/1
35 = m
(miles, gallons) = (35, 1) . . . a suitable choice for the table values
__
<em>Additional comment</em>
If your sense of symmetry is offended by choosing 1 for Gallons, you can choose 10, a number halfway between 12 and 8. In that case, your proportion is ...
420/12 = m/10 ⇒ m = 350
Then, your entry would be ...
(miles, gallons) = (350, 10)
Answer:
a.
k= 5/22
Step-by-step explanation:
