To find the other angle on the right side do 180-108 to get 72. That angle and angle z are congruent because they are verticals angles so angle z is also 72 degrees. Now you have 2 measure for the left side of the circle. Add the 2 together (72+85) to get 157. To find the last missing angle subtract 157 from 180 and you get the measure of YZU=23 :)
Answer:
Step-by-step explanation:
y = mx + b
Where M is the slope and b is the Y-intercept
Step-by-step explanation:
< i'll use this too represent angle
this is only presuming that this is a parallelogram and i also don't know what those numbers mean
< ACB = < CAD (alt <s of DA II CB) A
< ACD = < CAB (alt <s of DC II AB) A
AB is common S
therefore, ∆ADC is congruent to ∆CBA
if ∆ADC is congruent to ∆CBA
then < ADC = < CBA
Answer:
i) 0.872
ii) 0.300
iii) 0.76
iv) 0.704
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $261.50 per month
Standard Deviation, σ = $16.25
We are given that the distribution of monthly food cost for a 14- to 18-year-old male is a bell shaped distribution that is a normal distribution.
Formula:
a) P(Less than $280)
Calculation the value from standard normal z table, we have,
b) P(More than $270)
P(x > 270)
Calculation the value from standard normal z table, we have,
c) P(More than $250)
P(x > 250)
Calculation the value from standard normal z table, we have,
d) P(Between $240 and $275)
e) Thus, 0.704 is the probability that the monthly food cost for a randomly selected 14- to 18-year-old male is between $240 and $275.
Answer: 18.75 lb.ft
Step-by-step explanation:
Given
Force required to stretch spring 8 in. is 18 lb
it can be written
Work done in stretching from its natural length to 10 in.