5a)
2x + 94 = 7x + 49 (vertical angles are equal)
2x - 7x = -94 + 49
-5x = -45
x = 9
Answer
9
5b)
4y + 7x + 49 = 180 (supplementary angles, sum = 180)
4y + 7(9) + 49 = 180
4y + 112 = 180
4y = 68
y = 17
Answer
17
6)
x = 6x - 290 (vertical angles are equal)
-5x = -290
x = 58
Answer
58
Answer:
$105.5 for 16 hours at $6.59 per hour
Step-by-step explanation:
form the equation given, G=h(t) + p(c)
where G=Gross pay,
h= hourly wage
t=time worked
p=percent tip
c=cost of customer meals
we determine the gross pay by first determining the independent variables
h=$4.25, t=16 hours,

if we substitute values, we arrive at

to determine the per hour gross pay we have
105.5/16
hourly gross pay,G=$6.59
Answer:
4
Step-by-step explanation:
It's easy because 4-4=0 and anything divided by zero is zero.
The axis of symmety is the x value of the vertex
to find the x value of the vertex of ax^2+bx+c=0
x value=-b/2a
3x^2+bx+4=0
3/2=vertex
-b/2(3)=3/2
-b/6=3/2
times 6
-b=18/2
-b=9
times -1
b=-9
Answer:
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of the Population = 500
Given standard deviation of the Population = 50
Let 'X' be the random variable in normal distribution
Given X = 600

<u><em>Step(ii)</em></u>:-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = P(z≥2)
= 0.5 - A(2)
= 0.5 -0.4772
= 0.0228
<u><em>Final answer</em></u>:-
The probability that the candidate score is 600 or greater
P(X≥ 600 ) = 0.0228