Answer:
1. A) OPS is congruent to RSU
2. C) RSP is congruent to TSU
Step-by-step explanation:
1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.
✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.
❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.
❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.
OPS and TSU are also not congruent.
2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:
C) RSP is congruent to TSU
Answer:20
Step-by-step explanation:
Answer:
x = 19
Step-by-step explanation:
YZ || XW, so ∠Y = ∠W
if ∠Y = ∠W, then ∠W = 2x
since the sum of the angles of a triangle is 180 degrees:
(3x-5) + 2x + 90 = 180
x = 19
Answer:
Step-by-step explanation:
let price of one pretzel=x
price of one soda=y
3x+4y=11.25 ...(1)
5x+2y=8.25 ...(2)
multiply by 2
10x+4y=16.50 ...(3)
(3)-(1) gives
7x=5.25
x=0.75
from (1)
3(0.75)+4y=11.25
2.25+4y=11.25
4y=11.25-2.25
4y=9
y=9/4=2.25
cost of one pretzel=$0.75
cost of one soda=$2.25
