Answer:
m∠1 = 71°
Step-by-step explanation:
Angle 1 and 2 are complementary, meaning the measures of the two angles add up to 90°.
Set the measures of the two angles equal to 90°

Combine like terms

Solve for x

Plug the value of 'x' back into the given equation for the measure of angle 1

m∠1 = 71°
Answer:
Step-by-step explanation:
so when remembering how to write ordered pairs, think of the monkey bars. you have to get there before you can climb up, x being walking to the monkey bars and y being climbing up them. Think of the steps to get to the monkey bars compared to the fact that x is before y. getting to the monkey bars comes before climbing them, is x (run) and climbing them would be y (rise), and not the other way around because like the question said; x comes before y.
I really hope this wasn't too confusing. I'm really sorry if it was!
Hope this helps! :)
Answer:
D or 6
Step-by-step explanation:
Angle G is bisected if FGHI is a square. That being the case
7x + 3 = 45 Subtract 3 from both sides
7x = 45 - 3 Combine
7x = 42 Divide by 7
7x/7 = 42/7
x = 6
Answer:
P(B)= 17/20
Step-by-step explanation:
The audience of the magic show is conformed by a total of 120 people, 52 of which are female and 68 are men.
Within the audience there is a school class of 37, of these students, 17 are female and 20 are male.
If a random member of the audience is selected as a volunteer:
Let "A" represent the event that "the selected volunteer is a student of the class"
And "B" the event that "the selected student is female"
You have to calculate the probability of the selected volunteer being female, given that it is a member of the school class.
Symbolically:
P(B|A)
Using the formula of conditional probabilities you can calculate it as:
P(A∩B)= =
As you can see the probability of the event "The volunteer is female given that it was a student of the school class" means that you already know the selected volunteer was a student and only needed to calculate the probability of that student being female.
P(B)= 17/20
I hope this helps
Answer:
45 is the range.
Step-by-step explanation:
The range is the difference between the highest value and the lowest value.
464 - 419 = 45