Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Right Triangles</u>
In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.
In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:

The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.
The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.

First, find the coordinates of the midpoint M(xm,ym):


Thus, the midpoint is M( 1.5 , 2 )
Calculate the distance CM:


CM=2.5
Now find the distance AB:

AB=5
AB/2=2.5
It's proven CM is half of AB
Answer:
70,900
Step-by-step explanation:
Idont under stand this thanks
Answer:
Refer below
Step-by-step explanation:
Installation fee equation will be added onto the original equation
So g = base cost + percent cost + $100
(Cost of carpet) ---> g = $7.5x + ($7.5x * 0.05) + $100
Plug in 150 into the formula that gives you $1281.25
Make sure to study these, questions like these will for sure strengthen your math skills