Answer: 10
Step-by-step explanation:
tony is 5 years younger than Marvin's age 1 year from now.
t = (m+1) - 5
t = m - 4
6 years ago tony was half as old as marvin was then.
t - 6 = 1/2(m - 6)
Get rid of the fraction, multiply both sides by 2
2(t-6) = m - 6
2t - 12 = m - 6
2t = m - 6 + 12
2t = m + 6
from the first statement, replace t with (m-4)
2(m-4) = m + 6
2m - 8 = m + 6
2m - m = 6 + 8
m = 14 is Marvin's present age
:
how old is tony now?
t = 14 - 4
t = 10 yrs is tony's age
Answer:
4 and 5
Step-by-step explanation:
Answer: x = 108
Step-by-step explanation: In this problem, we're given a diagram and
we're asked to find the value of x that would make m ll n.
We can see that the angles that are marked in the diagram
are same-side interior angles since they lie on the same side
of the transversal and they lie on the interior of lines m and n.
Therefore, in order for line m to be parallel to line n,
these angles must be supplementary.
In other words, they must add to 180 degrees.
So we can setup the equation x + 72 = 180.
Subtracting 72 from both sides gives us x = 108.
So the value of x that would make line m ll n is 108.
The answer is B
Hope it helps!!
Answer:
- The square root and quadratic function share a y-intercept.
- The range of the square root and absolute value function are the same.
Step-by-step explanation:
Y-intercepts are the same when the curves meet the y-axis at the same point. That is true of the root and quadratic functions.
X-intercepts are the same when the curves meet the x-axis at the same point. None of these functions share an x-intercept.
The ranges of the functions are the same when they have the same vertical extent. The range of the quadratic is different from the range of the other two functions.
The absolute value and root functions have the same minimum (lower end of their range). That is the same as the maximum of the quadratic function.
__
The statements that match the graphs are ...
- The square root and quadratic function share a y-intercept.
- The range of the square root and absolute value function are the same.
