In this situation I would use cosine to find m∠G.
Cosine = Adjacent side ÷ Hypotenuse
RG being the adjacent side and TG being the hypotenuse, you would set up the equation like this
cos(g) = 8/17
then solve
cos(g) = 0.47058
simplify
g = cos^-1(0.47058)
and you get
m∠G = 61.9°
So your answer would be 62°
Answer:
m>3 or m<-5
Step-by-step explanation:
First simplify -3m-1 < -10:
-3m < -9
m > 3 (switch direction of sign when dividing by negative number)
Then simplify -4+2m<-14:
2m<-10
m<-5
m>3 or m<-5
Answer:
Question 1: False
Question 2: True
Question 3: True
Question 4: False
Step-by-step explanation:
Peter babysits his sister 2 days: Monday and Friday.
He babysits for his neighbor 40% of the time between Monday through Friday. This includes 5 days. 40% of 5days = 2 days.
On the weekend, Peter babysits 50% of the days. There are 2 days in the weekend
50% × 2 days = 1 day.
Question 1: False
Altogether, Peter babysits 5 days every week.
Question 2: True
Question 3: True
Peter babysits 4 out 5 days during Monday-Friday 4/5= 80%
Question 4: False
Peter babysits 5 days out of 7 during the week. 5/7 = 71% of the days, which is less than 90%
