There are two triangles, a big triangle and a small triangle that is inside the big triangle. Because the base of the triangles are parallel to each other( indicated by the arrow), and the small triangle is perfectly inside the bigger triangle, the sides of the triangles are proportional.
It is know that the base of the small triangle is 3.5, and the hypotenuse of the small triangle is 7cm. it is also known that the the hypotenuse of the big triangle is (7+8)=15 and the base of the big triangle is unknown.
Since the triangles are proportional,
to find the base of the big triangle
base(big)/hypotenuse(big)=base(small)/hypotenuse(small)
Plug in the numbers
x/15=3.5/7
x/15=1/2
x=15/2
x=7.5
The length of the base of the big triangle is 7.5cm
Answer: He paid 
for the T.V.
Step-by-step explanation:
We need to analize the information provided:
- The original cost of the T.V. was $599.99
- Joseph buys it at 35% off the original cost.
Let be "x" the amount Joseph paid for the T.V.
We can calculate "x" with the following expression:
Therefore, he paid for the T.V.
Answer:
Step-by-step explanation:
move the terms with 
to the left side of the equation:
add 3x to both sides
add 3x and 3x
move all term not containing to the right side:
add 1 to both sides of the equation
divide each term by 6
simplify the fraction
I think the first one (hope it helps.
