Answer:
1) x= 43
2) x= 54
Step-by-step explanation:
you add the two angles given, then take that answer and subtract it from 180!
i hope this helped!!
Answer: Yes it is.
Step-by-step explanation: So we are already told that segment AC is congruent to segment DC. They both have a right angle, as indicated by the angle symbol, and they share side-length BC.
According to the Hypotenuse-Leg Theorem, two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles. AC and DC are hypotenuses and they are congruent. And BC, the shared side, is a corresponding congruent leg. And since they are both right triangles, we then know that the HL Theorem applies.
Answer: The goal was $500
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Work Shown:
x% = x/100
175% = 175/100 = 1.75
Let g be the goal, which is the amount of money the club wanted to raise
175% of goal = 175% of g = 1.75g
The expression 1.75g represents how much money was actually raised, which was $875. Set the two expressions equal to each other. Solve for g
1.75g = 875
g = 875/1.75 ....... divide both sides by 1.75
g = 500
The club's goal was to raise $500
Note how 75% of $500 is 0.75*500 = 375
When they raised 175% of the goal, this means they went 75% overboard and added on 375 additional dollars (on top of the 500 they wanted). So they got to 500+375 = 875 which lines up with the instructions. This helps verify the answer.
Or we can see that 1.75*g = 1.75*500 = 875 which helps confirm the answer as well.
Answer:
Fifty percent of the data values lies between 34 and 46.
It is unlikely that there are any outliers.
Step-by-step explanation:
drawing out this box plot and looking online for a picture of the same plot:
From the box plot:
median=46
Q1=42
Q3=70
Q3-Q1= IQR=70-42=28
max=76
min=34
Range=max-min=76-34=42
no outliers seen from boxplot
