Answer:
b
Step-by-step explanation:
The answer is 80°.
If there is a line segment in a triangle which cuts two sides in half or if there is a line segment between two midpoints of a triangle's sides, that line segment must be parallel to the remaining side.
In this case, point L is the midpoint of FH, and point K is the midpoint of HG. So, LK is parallel to FG.
When a line cuts two parallel lines, there are angle pairs which are equal. In the problem above, the line segment FH cuts KL and GF.
The angles KLH and GFH are what we called "Corresponding Angles" and they are equal.
So if HFG is 80°, HLK must be equal to 80°
Answer:
13 and 23
Step-by-step explanation:
create an equation to solve:
(2x-3) + x = 36
3x - 3 = 36 combine like terms
<u> +3 +3</u><u> </u> add 3 to both sides
<u>3</u>x = <u>39</u>
3 3 divide both sides by 3
x = 13
<u>13 is the first number</u>
the 2nd number is 3 let than twice the first so we create and solve a new equation:
2x - 3 = ?
2(13) = ? substitute 13 from the
smaller number to solve
<u>23 = the 2nd number</u>
Answer: a) (176.76,172.24), b) 0.976.
Step-by-step explanation:
Since we have given that
Mean height = 174.5 cm
Standard deviation = 6.9 cm
n = 50
we need to find the 98% confidence interval.
So, z = 2.326
(a) Construct a 98% confidence interval for the mean height of all college students.

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?
Error would be

Hence, a) (176.76,172.24), b) 0.976.
Answer:
Get a calculator
Step-by-step explanation:
Most of the time for simple math like multiplying 2 digits, it is easiest if you just get a calculator. It saves a lot of time.
If you can't get a calculator then i recommend memorizing some common equations.
For example 10*15= 150
so that if you get 12*15=?, you can easily just add two extra 15's to your answer of 150.
15+15 is 30, and 30+150(from 10*15)=180.
Therefore 12*15=180.
:) Hope that helped!