Answer:
169
Step-by-step explanation:
You need to use a Z-table for this.
There are different tables, in this table i searched for the probability of 97% because that equivalent to the top 3%.
for 0.97, Z = 1.88
The formula of Z is:
![Z = (x-mean)/(st. dev.)](https://tex.z-dn.net/?f=Z%20%3D%20%28x-mean%29%2F%28st.%20dev.%29)
Solving x:
![1.88 = (x-150)/10 \\x = 168.8 = 169](https://tex.z-dn.net/?f=1.88%20%3D%20%28x-150%29%2F10%20%5C%5Cx%20%3D%20168.8%20%3D%20169)
Since opposite angles of a cyclic quadrilateral are supplementary,
A= 180-101=79°
B= 180-68=112°
Answer:
The positive angle that less than 360° and is conterminal with -289° is 71°
Step-by-step explanation:
- When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
- When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
- To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°
Let us solve the question
∵ The measure of the angle is -289°
→ Add its measure by 360° to find the positive angle that is conterminal
with it
∵ The measure of the positive angle = -289° + 360°
∴ The measure of the positive angle = 71°
The positive angle that less than 360° and is conterminal with -289° is 71°
Answer:
P = 6x-2
x = 14
Step-by-step explanation:
To find the perimeter, we add the sides
P = 4x-8 + 3-2x + 5x+3
Combine like terms
P = 4x-3x+5x -8+3+3
= 6x -2
Now we know the perimeter
82 = 6x-2
Add 2 to each side
82+2 = 6x-2+2
84 = 6x
Divide each side by 6
84/6 = 6x/6
14=x
Answer:
-46
Step-by-step explanation:
2×2=4-50 lol lol lol