Answer:
b.
Step-by-step explanation:
Each of the provided angles are also a part of linear pairs, so 180-145=35
180-100=80
35+80=115
To solve for the final angle/the one they are wanting
180-115=65
Answer: Four
Step-by-step explanation: There are four prime numbers between 20 and 40 and they are 23, 29, 31, 37.
Answer:
Angle MON is 98°
Step-by-step explanation:
The measure of the straight angle is 180°
∵ ∠LON is a straight angle
∴ m∠LON = 180°
∵ Ray OM intersects line LN at O
∴ OM divides ∠LON into two angles ∠LOM and ∠MON
∴ m∠LOM + m∠MON = m∠LON
- Substitute m∠LON by 180°
∴ m∠LOM + m∠MON = 180°
∵ m∠LOM = 8 x + 58
∵ m∠MON = 3 x + 89
- Substitute them in the equation above
∴ (8x + 58) + (3 x + 89) = 180°
- Add the like terms in the left hand side
∴ (8 x + 3 x) + (58 + 89) = 180°
∴ 11 x + 147 = 180
- Subtract 147 from both sides
∴ 11 x = 33
- Divide both sides by 11
∴ x = 3
Substitute the value of x in the measure of angle MON to find it
∵ m∠MON = 3(3) + 89
∴ m∠MON = 9 + 89
∴ m∠MON = 98°
Answer:
a = 180 - b - c
Step-by-step explanation:
given 180 = a + b + c or
a + b + c = 180 ( isolate a by subtracting b from both sides then c )
subtract b from both sides
a + c = 180 - b
subtract c from both sides
a = 180 - b - c
Answer:
If a person is randomly selected from this group, the probability that they have both high blood pressure and high cholesterol is P=0.25.
Step-by-step explanation:
We can calculate the number of people from the sample that has both high blood pressure (HBP) and high cholesterol (HC) using this identity:
We can calculate the probability that a random person has both high blood pressure and high cholesterol as:
