Answer:
Similar triangles states the length of the corresponding sides are in proportion.
In a given similar triangles:
Labelled the diagram:
Triangle BAC and triangle DAC are similar.
then;
Corresponding sides:
AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units
By cross multiply we get;
Simplify:
Divide both sides by 3 we get;
Simplify:
x = 25 units
Therefore, the value of x is 25 units.
Answer:
Exact form:
x= 16/3
Decimal form:
x=5.3
Mixed form:
x= 5 1/3
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Answer:
16 feet
Step-by-step explanation:
Set up a proportion where x is the height of the tree:
= 
Cross multiply and solve for x:
5x = 80
x = 16
So, the tree is 16 feet tall
The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length and W is the width. Because we don't know either the length or the width we can't solve the problem...too many unknowns. BUT we do have some information that will help with this problem. We are told that the length is 2 feet longer than the width, so we can use that: L = W+2. Now we can make the substitution into the formula along with the value for the perimeter that was given to us: 36=2(W+2) + 2W, and 36 = 2W + 4 + 2W; 36 = 4W + 4; 32 = 4W and W = 8. Now go back to where you said that the length is 2 feet longer than the width. If the width is 8, then 8+2 = 10 for the length.
