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.
It means you are a certain kind of Buddha’s
Since they share the same angle measurement, and 4 is smaller than 158 degrees, you subtract 158 from 180 and angle 4 = 22 degrees
Answer:
* The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.
* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.
Step-by-step explanation:
Recall that a penny is a money unit. It is created/produced, just like any other commodity. As a matter of fact, almost all types of money or currency are manufactured; with different materials ranging from paper to solid metals.
A group of pennies made in a certain year are weighed. The variable of interest here is weight of a penny.
The mean weight of all selected pennies is approximately 2.5grams.
The standard deviation of this mean value is 0.02grams.
In this context,
* The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.
* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.
Likewise, adding 0.02g to the mean, you get the highest penny weight in the group.
Hence, the weight of each penny in this study, falls within
[2.48grams - 2.52grams]
Answer:
The original price of the item was $83
Step-by-step explanation:
