Answer:
son = 10 , father = 40
Step-by-step explanation:
Let Five years ago the age of son be x years and age of father be 7x years
Present age of son =x+5
Present age of father =7x+5
5 years later their age will (x+10) and (7x+10)
∴7x+10=3(x+10)
7x−3x=20
4x=20
x=5
So, the present age of son=x+5=5+5=10years
and the present age of father=7x+5=35+5=40years
hope it helps you
Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

A line placed in slope-intercept form is represented by the formula
. The
, or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula
and substitute values for
,
, and
. Since
represents the slope of the line, substitute 2 in its place. Since
and
represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

So, option D is correct.
Answer:
144ft^2
Step-by-step explanation:
since it's a kite, there are two pairs of congruent (exactly the same shape) triangles
bc of this you can find one triangle from each pair and double it
e.g.


so you would do 2(24+48)=144