Answer:
2
Step-by-step explanation:
9(x+1)=25+x
9x+9=25+x
9x-x=25-9
8x=16
x=16/8
x=2
Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
__
78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
_____
<em>Additional comment</em>
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
Answer:
$7995.85
Step-by-step explanation:
We will use simple interest formula to solve our given problem.
, where,
A = Amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.








Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.
9 2/3 - 2 8/10 = 16 13/15
Answer:
Step-by-step explanation:
The pediatrician said that the z-score for the boy's height, relative to other 2-year-olds in the country, was 1.59
He explains to the parents of the boy, that the extreme 5% of cases often require special attention.
(A) Does this child fall into that group?
Yes, this child falls into that group. He is among the extreme 5% of cases at the tail of the distribution.
(B) What do you need to assume about the heights of 2-year-olds, in order to find your answer to part (A)?
Assume that the distribution of heights is skewed, the heights are independent of one another, and the number of heights is very large.