Answer:
Step-by-step explanation:
Question (1).
OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.
A). ∠OPS ≅ ∠RSU [corresponding angles]
B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]
C). m∠OPS + m∠OPN = 180° [Linear pair of angles]
D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]
And m∠TSP + m∠TSU = 180° [Linear pair of angles]
Therefore, Option (A) is the correct option.
Question (2).
A). m∠RSP + m∠RSU = 180° [Linear pair of angles]
B). m∠RSP + m∠PST = 180° [Linear pair of angles]
C). ∠RSP ≅ ∠TSU [Vertically opposite angles]
D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]
Therefore, Option (C) will be the answer.
Answer:
no solution
Step-by-step explanation:
49^3x = 343^2x+1
49 = 7^2 and 343 = 7^3
7^2 ^3x = 7^3 ^2x+1
we know that a^b^c = a^ (b*c)
7^(2 *3x) = 7^(3 *(2x+1))
7^(6x) = 7^(6x+3)
The bases are the same so the exponents have to be the same
6x = 6x+3
Subtract 6x from each side
0 =3
This is never true so there is no solution
Answer: y=2x+6
Step-by-step explanation:
Dddddddddddddddddddddddddddddddddd
GH GI and HI are parallel to CB, AB and AC respectivele
m< A = 180 - 40 - 61 = 79 degrees
m < IHB = 79 ( < A and <IHB are corresponding angles)
and m < x = m < IHB) = 79 degrees ( < x and < IHB are internal alternate angles)
Answer is 79 degree
