Answer:
x = 23
y = 7
z = 11
Step-by-step explanation:
Since ∆PRS ≅ ∆CFH, therefore,
m<R = m<F
13y - 1 = 90° (substitution)
Add 1 to both sides
13y - 1 + 1 = 90 + 1
13y = 91
Divide both sides by 13
13y/13 = 91/13
y = 7
Since ∆PRS ≅ ∆CFH, therefore,
PS = CH
2x - 7 = 39 (substitution)
Add 7 to both sides
2x - 7 + 7 = 39 + 7
2x = 46
Divide both sides by 2
2x/2 = 46/2
x = 23
Since ∆PRS ≅ ∆CFH, therefore,
m<S = m<H
Find m<S
m<S = 180 - (m<P + m<R) (sum of ∆)
m<S = 180 - (28 + (13y - 1)) (substitution)
Plug in the value of y
m<S = 180 - (28 + (13)(7) - 1))
m<S = 180 - (28 + 91 - 1)
m<S = 180 - 118
m<S = 62°
Therefore, since m<S = m<H,
62° = 6z - 4 (substitution)
Add 4 to both sides
62 + 4 = 6z - 4 + 4
66 = 6z
Divide both sides by 6
66/6 = 6z/6
11 = z
Answer:
Final answer is slope 
Step-by-step explanation:
Given equation is 
Now question says to find the slope.
Since given equation
is a linear equation so we need to compare
with slope intercept formula
to get the value of slope m.
Since
is not in that form so first let's rewrite it in y=mx+b form




Now comparing with y=mx+b, we get 
Hence final answer is slope 
Like this variation of the problem! :)
We calculate the future value of the 6 annual deposits of $1500 at 8%:
F=1500(1.08^6-1)/(0.08)=11003.89
Since the last payment is due on the day of withdrawal, he would have paid $1500 to get back $11003.89, i.e. with an excess of 1003.89.
Therefore his last payment is 1500-1003.89=$496.11
A. Range=highest-lowest. 85-53=32
b. Mean=average. Add all of the numbers together then divide by 12, you get about 70.2
c. Median is the middle number, or average of middle 2 numbers. average of 63 and 70 is 66.5.
d. There are 5 months with temperature less than 70, so the chance is 5/12
Algebra form: y1 - y2, and x1 - x2.
( 2 - 1 ) ( 6 - 3 ).
= 1/3.
slope = 1/3.