Answer:
The answer to your question is: 20°
Step-by-step explanation:
Data
m∠XZY = 40
m∠XZB = 20
Process
1.- Find the measure of ∠ XAB
∠XAB = 40° because AB ║ YZ
2.- Find the measure of ∠ZAB
∠ZAB + ∠XAB = 180
∠ZAB = 180 - ∠XAB
∠ZAB = 180 - 40
∠ZAB = 140°
3.- Find the measure of ∠ABZ
The sum of the internal angles in a triangle equals 180°
∠AZB + ∠ZAB + ∠ABZ = 180
20° + 140° + ∠ABZ = 180
∠ABZ = 180 - 20 - 140
∠ABZ = 20°
Answer:
Jane: 37 years old
Anne: 17
Step-by-step explanation:
Jane 12 years ago: 5x
Anne 12 years ago: x
In three years into the future:
Jane: 5x+15
Anne: x+15
CURRENT TIME:
Jane: 5x+12
Anne: x+12
Equation (using 3 years into the future ages): 5x+15=2(x+15)
5x+15=2x+30
(subtract 15 from both sides)
5x=2x+15
3x=15
x=5
Therefore, Jane is 37 years old and Anne is 17 years old.
Answer:
132 degrees
Step-by-step explanation:
To solve this problem, you need to know a couple of rules
1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.
2)Angles of a quadrilateral shape add up to 360 degrees.
3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.
So first, solve angle S with inscribed angle theorem. 126/2 = 63
Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.
Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.
Let me know if this doesn't work, I'll look at it again.
Answer:
D. 0.85
Step-by-step explanation:
divide 6 by 5.10
Answer:
Area = 20 square centimeters
Step-by-step explanation:
V = lwh
V = lw3
V = 4x5x3
V = 60
A = lw
A = 4x5
A = 20
