Answer:
The angles inside a hexagon add up to 720.
105 + 88 + 142 + 140 + 124 + x = 720
720 - (105 + 88 + 142 + 140 + 124) = x
720 - 599 = x
<h2>x = 121</h2>
If he'll have 5 tests and the average is 90, this means that the scores of each test added must be equal to 90 * 5 or 450.
450 = 90 + 82 + 95 + 86 + x
450 = 353 + x
97 = x which means that he must get a 97% on the fifth test to have an average of 90%
Answer:
The value of y given the values of x and z in the question is -734.85
Step-by-step explanation:
This is a joint variation question.
First, we are made to know that y varies jointly as x and z.
The equation for this can be written as;
y = k * x * z
Where k is the constant of proportionality.
Let’s calculate k first.
117 = k * (-3) * (-11)
33k = 117
K = 117/33 = 3.55
Now, we proceed to get what y is when x = -9 and z = 23
Let’s plug these values into the initial equation written.
y = k * x * z
We use the value of k calculated above;
y = 3.55 * (-9) * (23) = -734.85
A. All the equations are in slope intercept form, so all that's needed to do is plug in 2/3 as the x value in each equation and if the result is 4, then you got the answer.
