Answer:
BZ = 64/23 = 2 18/23
Step-by-step explanation:
The angle bisectors divide the triangle into proportional parts, so we have ...
CB/CY = AB/AY
CB = CY(AB/AY) = 4(8/6) = 16/3 . . . . multiply by CY and evaluate
and ...
BZ/CB = AZ/AC
BZ = AZ(CB/AC) . . . . multiply by CB
But we have ...
AZ = 8 -BZ, so this becomes ...
BZ = (8 -BZ)(16/3)/(10)
BZ(1 +8/15) = 64/15 . . . . add the BZ term on the right to both sides
BZ = (64/15)(15/23) = 64/23 . . . . divide by the coefficient of BZ
BZ = 64/23 = 2 18/23
Answer:
19/35
Step-by-step explanation:
Answer:
Hence, the probability of a Negative test is .
Step-by-step explanation:
(a)
Let Drug user and Test positive
Probability of drug users
(b)
Find the Probability of a Negative test,
Answer:
Step-by-step explanation:
<u>The equation of the circle:</u>
The center is (h, k)
<u>Wen the center is the origin we have, h = 0, k = 0:</u>
The only equation in same format is the first one
Given:
The given point is (-4,1)
Let's check the ordered pair (-4,1) in the first equation
Hence, (-4,1) is a solution of the first equation x-5y=-9.
Now, let's check (-4,1) in the second equation.
So, (-4,1) is a solution of the second equation 4x+4y=-12.
Hence, (-4,1) is a solution of both equation in the system, then it is a solution to the overall system.