The length of is given by the relationship between the similar triangles
ΔABD and ΔBDC.
Reasons:
The given parameters are;
The altitude of triangle ΔABD =
The hypotenuse of formed right triangle =
The length of AD = 8
Length of BD = 24
Whereby ΔABD is a right triangle
We have;
ΔABD is similar to ΔBDC
Therefore, by similar triangle proportional sides relationship, we have;
Which gives;
=
Therefore;
Which gives;
Learn more about similar triangles here:
Answer:
300 SUVs were sold.
210 Passenger cars were sold.
Step-by-step explanation:
Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.
The total amount of vehicles sold was 510, so:
90 more SUVs were sold than passenger cars. In other words:
We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:
Combine like terms:
Subtract 90 from both sides:
Divide both sides by 2:
So, the 210 passenger cars were sold.
This means that 210+90=300 SUVs were sold.
And we're done!