-5y=9x +2x -2x
-5y=9x
X= -5y/9
Answer:
x will equal 61 degrees
Step-by-step explanation:
The total degree of a pentagon is 540. You subtract all the angles you have (138, 144, 107, and 90) and that will get your sum.
Answer:
The supplement would be 62,
There is no complement
Step-by-step explanation:
A Supplementary angle equals 180 degrees
A complementary angle equals 90 degrees
Since mDEF= 128, which is greater than 90 degrees there is no complement to it.
To figure out the supplement of DEF you have to subtract 128 from 180.
180 - 128 = 62
Answer: y = (x + 1)*(x - 4)
Step-by-step explanation:
The points of the equation are:
( -2 ,6), ( -1 0)
, ( 0, -4) ( 1 ,-6) (2,-6) ( 4 ,0) and ( 5,6)
The first thing you can see is that the roots are:
( -1 0) and ( 4 ,0)
the roots are x1 = -1 and x2 = 4
and we know that we can write a polynomial as:
y = a*(x - x1)*(x - x2)
So our function can be:
y = a*(x - (-1))*(x - 4)
we also know that this graph passes trough the point (0, -4) so we can chek if this equation is correct:
y(0) = a*(0 + 1)*(0 - 4) = -4
a*1*-4 = -4
then y = (x + 1)*(x - 4)
Answer:
The probability that an uses drugs given that the result was negative is 0.0224.
Step-by-step explanation:
Let's denote the events as follows:
<em>D</em> = an intern uses drugs.
<em>X</em> = the test result was positive.
The information provided is:
Compute the probability that the test result of an intern is positive as follows:
The probability that the test result of an intern is positive is <em>P (X) = 0.107</em>.
Compute the probability that the result is negative given that he/she uses drugs as follows:
Compute the probability that an uses drugs given that the result was negative as follows:
Thus, the probability that an uses drugs given that the result was negative is 0.0224.