2/8 is the least, 2/3 is the greatest, 2/6 is the middle
Answer:
True
Step-by-step explanation:
The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.
Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.
We need to show that A = 180 - 2B for an isoceles triangle
The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.
Since this half triangle is a right-angled triangle, the third angle in it is 90.
So, A/2 + B + 90 = 180 (Sum of angles in a triangle)
subtracting 90 from both sides, we have
A/2 + B + 90 - 90 = 180 - 90
A/2 + B = 90
subtracting B from both sides, we have
A/2 + B = 90
A/2 = 90 - B
multiplying through by 2, we have
A = 2(90 - B)
A = 180 - 2B
Since A = 180 - 2B, then our triangle is an isosceles triangle.
Answer:
23
Step-by-step explanation:
Answer:
1. We assume, that the number 33.39 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 33.39 is 100%, so we can write it down as 33.39=100%.
4. We know, that x is 13% of the output value, so we can write it down as x=13%.
5. Now we have two simple equations:
1) 33.39=100%
2) x=13%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
33.39/x=100%/13%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 13% of 33.39
33.39/x=100/13
(33.39/x)*x=(100/13)*x - we multiply both sides of the equation by x
33.39=7.6923076923077*x - we divide both sides of the equation by (7.6923076923077) to get x
33.39/7.6923076923077=x
4.3407=x
x=4.3407
now we have:
13% of 33.39=4.3407
Step-by-step explanation:
