Answer:
Step-by-step explanation:
Given:
RUTS is a rectangle.
To prove:
∠USR ≅ ∠SUT
Statements Reasons
1. RUTS is a rectangle 1. Given
2. RU = ST, UT = RS 2. By the definition of a rectangle
3. ∠STU = ∠SRU = 90° 3. Definition of a rectangle
4. ΔURS ≅ ΔSTU 4. By the LL theorem of congruence
5. ∠USR ≅ ∠SUT 5. CPCTC
To answer this item, we assume that the topic is in similar polygons such that the ratio of the corresponding sides should be equal. In this item,
BY/YC = AX/XC
Substituting the known values,
6/10 = 18/XC
The value of XC from the equation is 30. The answer is letter C.
125/12 would be your equivalent improper fraction
Answer:
x = 112°, y = 68°
Step-by-step explanation:
68° and y are corresponding angles and are congruent, then
y = 68°
x and y are adjacent angles and are corresponding ( sum to 180° ), then
x + y = 180°
x + 68° = 180° ( subtract 68° from both sides )
x = 112°
