Answer:
m∠YWZ = 36°
Step-by-step explanation:
* Lets explain how to solve the problem
- Point Y is in the interior of ∠XWZ
- Rays WX and WZ sre opposite rays
- That means rays WX and WZ formed a straight angle
- m∠XWY = 4(m∠YWZ)
- We need to find the m∠YWZ
* Lets solve the problem
∵ Rays WX and WZ are opposite rays
∴ ∠XWZ is a straight angle
∵ The measure of the straight angle is 180°
∴ m∠XWZ = 180°
- Point Y is in the interior of ∠XWZ
∴ m∠XWZ = m∠XWY + m∠YWZ
∵ m∠XWY = 180°
∴ m∠XWY + m∠YWZ = 180° ⇒ (1)
∵ m∠XWY = 4(m∠YWZ) ⇒ (2)
- Substitute equation (2) in equation (1)
- That means replace m∠XWY by 4(m∠YWZ)
∴ 4(m∠YWZ) + m∠YWZ = 180
∴ 5(m∠YWZ) = 180
- Divide both sides by 5
∴ m∠YWZ = 36°
Answer:
2
Step-by-step explanation:
9(2/3)-4
2/3 of 9 is 6
6-4=2
Measure of Angle 2 = 100 degrees
measure of Angle 6 = 100 degrees
Since angle 2 and angle 6 are both 100 degrees, this makes them congruent angles. They are also corresponding angles as well.
The fact we have corresponding angles that are congruent leads to AB being parallel to CD. This is using the Converse of Corresponding Angles Theorem.
Answer:
The account will grow to 1,000 in 5 years.
Step-by-step explanation:
Since the account will become 1000, the interest is 90 dollars. I=p*r*t.
90=910*.021*t
90=19.11*t.
t=4.71, so it will take 5 whole years.
Answer:
Measured and Counted.
Step-by-step explanation:
Continuous data are usually “Measured”, but discrete data are usually “Counted”.
The continuous data are the data that can be measured, for example, Height of children, time in the race, length of leaf, etc. In this case, the data is taken within the range. While the discrete data is the data that can be counted. For example, the number of employees in the office, the number of students in the school, the result of rolling dice, etc. In this case, the data is a fixed number. Accordingly, the continuous data is measurable and discrete data is countable.