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:
Eight less than four times a number is equal to two times the difference of double that same number decreased by three.
Step-by-step explanation:
The given equation is:
4x−8=2(2x−3)
We will try to translate the given equation in English.
We can see that the variable used is only one. On the left hand side of the equation 8 is being subtracted from 4 times of the variable and on the right hand side 3 is being subtracted from 2 times of variable and then being multiplied by two.
From the given option, correct answer is:
Eight less than four times a number is equal to two times the difference of double that same number decreased by three.
Answer:
Step-by-step explanation:--0.9
Answer:
<h3>
The father is 40 and the daughter is 20.</h3>
Step-by-step explanation:
x - the present age of the daughter
2x - the present age of the fathter
x - 10 - the age of the daughter ten year ago
2x - 10 - the age of the fathter ten year ago
Father is older than his dauther, so:
2x - 10 = (x - 10) + 20
2x - 10 = x - 10 + 20
2x - 10 = x + 10 {subtract x from both sides}
x - 10 = 10 {add 10 to both sides}
x = 20
2x = 2·20 = 40
