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:
To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
Step-by-step explanation:
The <u>correct answer</u> is:
18.
Explanation:
There were 303 people surveyed total.
There were 64 people with brown eyes and black hair; that makes the percentage of the population 64/303 = 21.12% ≈ 21%.
There were 9 people with blue eyes and black hair; that makes the percentage of the population 9/303 = 2.97% ≈ 3%.
This means the percentage of students with brown eyes and black hair was greater than the percentage of students with blue eyes and black hair by:
21-3 = 18%.
