Step-by-step explanation:
the sum of all angles in a triangle is always (ALWAYS !) 180°.
180 = 31 + 35 + x = 66 + x
x = 180 - 66 = 114°
Answer:
B. -7j-k-1
Step-by-step explanation:
Simplify:
1. IDENTIFY LIKE TERMS
<em>10k</em>+17-7j-18-<em>11k</em>
- <em>10k and -11k are like terms since they have the same variable.</em>
- 17 and -18 are like terms since they are regular numbers.
2. COMBINE LIKE TERMS
-7j-<em>k</em>-1
Answer:
The test statistic is t = 3.36.
Step-by-step explanation:
You're testing the claim that the mean difference is greater than 0.7.
At the null hypothesis, we test if it is 0.7 or less, that is:
At the alternate hypothesis, we test if it is greater than 0.7, that is:
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that 
Survey of 35 people. From the sample, the mean difference was 0.95, with a standard deviation of 0.44.
This means that 
Calculate the test statistic
The test statistic is t = 3.36.
Answer:
x = 53 degrees
Step-by-step explanation:
Alternate exterior angles are equal if two parallel lines are cut by a transversal.
If m and n are parallel, then
3x-28 = 2x+25
Subtract 2x from each side.
3x-28-2x = 2x+25-2x
x-28 =25
Add 28 to each side.
x-28+28 = 25+28
x = 53
