Answer:
Part 1) Option D. must be an acute angle
Part 2) m∠A=70°
Step-by-step explanation:
Part 1) In triangle ABC, if an exterior angle drawn at vertex C measures 45, then angle B...
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
The measure of an exterior angle at C is equal to the sum of the interior angles at A and B
we have that
45°=m∠A+m∠B
therefore
m∠B < 90°
Angle B must be an acute angle
Part 2)
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
The measure of an exterior angle at B is equal to the sum of the interior angles at A and C
m∠A+m∠C=2m∠C+5
m∠C=m∠A-5 ----> equation A
m∠C=65° ----> equation B
substitute equation B in equation A
65°=m∠A-5
m∠A=(65+5)°=70°
Answer: x=
3
500
=166.667
Step-by-step explanation:
This deals with adding, subtracting and finding the least common multiple.
The slope is 4/3.
I hope this helps :)
Answer: X is equal to 8 and Y is equal to 3
Answer:
Screen 1: 200, Screen 2: 125 , Screen 3: 175
Step-by-step explanation:
Screen 1
Multiply 40% and 500
Convert 40% to a decimal
40/100=0.40
500*0.40
200
Screen 2
Multiply 25% and 500
Convert 25% to a decimal
25/100=0.25
500*0.25
125
Screen 3
Subtract the amount of people that went to screens 1 and 2 from the total
500-200-125
175
So, Screen 1 had 200 visitors, 2 had 125 and 3 had 175
Hope this helps! :)
