The Angle-Side Relationships theorem (or triangle parts relationship theorem) states that<span> if one side of a triangle is longer than another side, then the angle opposite the
longer side will have a greater degree measure than the angle opposite the shorter
side.
The converse to the </span>Angle-Side Relationships theorem (or triangle parts relationship theorem) states that if one angle of a triangle has a greater degree measure than
another angle, then the side opposite the greater angle will be longer than the
side opposite the smaller angle.
Thus, from the proof if AB > AC, then m∠C > m∠B by the <span>converse of the triangle parts relationship theorem</span>.
Answer: For 
Nick does not has enough money to follow this recommendation.
Step-by-step explanation:
Given: A self-service car wash charges $4 for the initial 5 minutes plus an additional $0.75 for each minute after that.
Let y be the cost for car wash for m minutes then
such that at m= 5 , y=4 which is the cost for car wash (dollars) for first 5 minutes.
Also, A car enthusiast magazine recommends spending at least 15 minutes to properly wash a car.
For
But Nick has $10 which is less than $11.5, so he does not has enough money to follow this recommendation.
Answer:
0.149
Step-by-step explanation:
Given that Jason wants to perform a two-tailed test for equality between two independent sample proportions
Each sample has at least 10 "successes" and 10 "failures."
Jason's test statistic is -1.44
Since here proportions are tested Z test might have been used.
Z statistic = -1.44
We can get p value for this Z statistic
p value=0.149
p value for two tailed is 0.149
Comparing this with t statistic we can decide whether to accept or reject null hypothesis.
For the given points 
and 
, we have to find the ordered pair that represents YZ.
YZ is calculated by finding the difference between the coordinates Z and Y.
So,
Magnitude of coordinate (x,y) is calculated by the formula = 
Magnitude of YZ=
= 
units.
Answer:
1 balloon
Step-by-step explanation:
if we take 53 divided by 4, we get 13 so each child gets 13 balloons leaving one behind
