Answer:
B) 10
Step-by-step explanation:
∠IJA= ∠HJA
ΔIJA has twice smaller side opposite ∠J than ∠A
Similarly
ΔHLA side 5 opposite ∠J,
So x/5= 20/10 ⇒ x= 5*2= 10
Answer choice is B) 10
The 3 angles of a triangle will add up to 180 degrees.
5x + 2x + 3 + 3x - 3 = 180...combine like terms
10x = 180
x = 180/10
x = 18
one angle is : 5(x) = 5(18) = 90 degrees
the other angle is : 2x + 3 = 2(18) + 3 = 39 degrees
the last angle : 3x - 3 = 3(18) - 3 = 51 degrees
Answer:
(-10, 10) and (0,10).
Step-by-step explanation:
For a point to be a solution to the system of inequalities, you will need to see which of the points falls into the shaded area.
When we test out each of the points, we can see that only:
(-10, 10) and (0,10) fall into the blue-shaded area.
Answer:
volume= 339282 meters
Step-by-step explanation:
v= pi*r^2*h
r= radius
h= height
v= volume
pi= 3.1415
To find radius divide the diameter by 2.
v= 3.1415*120/2^2*30
v= 3.1415*60^2*30
v= 3.1415*3600*30
v= 11309.4*30
v= 339282 meters
Answer: See below
Step-by-step explanation:
<u>Let A represent</u> an adult who visited a therapist
<u>Let B represent</u> an adult who used a non-prescription antidepressant
<u>Given:</u>
P(A) = 0.28 P
P (B) = 0.43
P(A Intersection B) = 0.22
a) P(B ∩ A) = P (B ∩ A) / P(A) = 0.22/0.27
P(B | A) = 0.79 or 79%
b) P(A ∩ B) = P (A ∩ B) / P(B) = 0.22/0.4.3
P(A | B) = 0.51 or 51%