Answer:
93°
Step-by-step explanation:
By exterior angle theorem:
(4x + 9)° = 2x° + (3x - 12)°
(4x + 9)° = (2x + 3x - 12)°
(4x + 9)° = (5x - 12)°
4x + 9 = 5x - 12
4x - 5x = - 12 - 9
-x = - 21
x = 21
Measure of exterior angle
= (4x + 9)°
= (4*21 + 9)°
= (84 + 9)°
= 93°
Answer:
60 minutes for the larger hose to fill the swimming pool by itself
Step-by-step explanation:
It is given that,
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.
takes 30 minutes for the larger hose to fill the swimming pool by itself
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
<u>To find LCM of 20 and 30</u>
LCM (20, 30) = 60
<u>To find the efficiency </u>
Let x be the efficiency to fill the swimming pool by larger hose
and y be the efficiency to fill the swimming pool by larger hose
x = 60/30 =2
x + y = 60 /20 = 3
Therefore efficiency of y = (x + y) - x =3 - 2 = 1
so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes
The correct answer is: <span>C) The base of the cone and the top of the cylinder have the same area. </span>The cone has the smallest volume of the 2 figures. This is because the formula for the cylinder is b x h, the formula for the cone is 1/3(b x h) so if they have same height and base area cylinder would have larger volume because, for the cylinder, a formula is one-third of b x h. Hope I helped!! : )
hope this helps you
