Answer:
Step-by-step explanation:
MR=2x-1. First equation
RP=9x+3 second equation
MP=MR+RP third equation
MP= 2x-1+9x+3 first equation plus second equation
MP=11x+2
MP=57
57=11x+2 replaced MP value
57-2=11x
55=11x
55/11=x
X=5
Answer:
The answer is A.
Step-by-step explanation:
True! If you have any 3 segments, it could form a triangle, just not a right triangle.
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