X = the age of Mr. Gilliam
His wife is 3 years older, so the age of Mr. Gilliam's wife = x+3
The sum of their ages is 95.
Mr. Gilliam is 46 years old.
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:
This is an arithmetic sequence with a common difference <em>d</em> of -9
Step-by-step explanation:
When you find out <em>d</em>, you realize the difference between the numbers to be -9. Since it is <em>d</em> and not common ratio <em>r</em>, it is an arithmetic sequence.
7,134 + d = 10,000
Subtract 7,134 from each side:
d = 10,000 - 7,134
d = 2,866
8=12-8x
-4=8x
-4÷8=8x÷8
-0.5=x
