Answer:
1) x=67, y=83, z=80 2) x=5
Step-by-step explanation:
1) 28+85=113 a triangle is 180 degrees so 180-113=67 so x=67
x and y are supplementary meaning both sides equal 150 so 150-67=83
83+17=100 now going back how much did i say a triangle should equal? 180 so z is 80
2)a triangle = 180 since the triangle is a right angle it includes the angle 90 so make the equation to solve for x
180=90+8x+2+9x+3
take 90 to other side so you are subtracting 180-90
90=8x+2+9x+3
combine like terms
90=17x+5
subtrcat 5 from 90
85=17x
now divide 85 by 17 and you get x=5
Answer: You rewrite in factor form which for this is (3x+2)(3x-2).
Step-by-step explanation:
Answer:
Vertex= (0,4)
Domain= x: all real number
Range: ( - ∞, 4] or y ≤ 4
<u>OAmalOHopeO</u>
Answer:

Step-by-step explanation:
The probability of
can be read as the probability of event B occurring given event A. In this question, event A occurs when the chosen player is a girl. There are 7 girls on the soccer team. Event B occurs when the chose player plays defense. Since
stipulates that event A already occurred, we want the probability of choosing a player who prefers defense from the 7 girls. There are 2 girls who prefer defense, hence
.
<u>Alternative:</u>
For dependent events
and
, the conditional probability of event B occurring given A is given by:

indicates the intersection of
and
. In this case, it is the probability that both events occur. Since there are 16 kids on the soccer team and only 2 are girls and prefer defense,
. The probability of event A occurring (chosen player is a girl) is equal to the number of girls (7) divided by the number of kids on the team (16), hence
.
Therefore, the probability of event B occurring, given event A occurred, is equal to:

To find x- intercept the zero so substitute y=0
0=-x+1
X=1 thqt should be your answer
Hope this helped
Answer: x=1