We can find the approximate measurement of angle ABC and it is equal to 180°. The summation of all angles in a triangle is 180°.
Solving for x or angle B, we need to used Pythagorean theorem and SOH CAH TOA.
Solving for angle A:
sinA = 10.5/20
A = 31.67°
Solving for angle B:
180° = ∠C + ∠B + ∠A
180° = 90° + ∠B + 31.67
∠B = 58.33°
The x value is 58.33°.
Answer:
1. 3x +7x = 360°
10x = 360
x= 36
measure of first angle = 36*3= 108°
measure of second angle = 36*7 = 252°
Answer:
<em>4</em>
Step-by-step explanation:
The solid triangle dilated to become the dashed triangle.
Compare two corresponding sides. For example, the vertical side of the solid triangle measures 3 units. The vertical side of the dashed triangle measures 12 units. 12/3 = 4. The dilation is 4. The scale factor is 4.
Answer:
Charlie did not use any randomization; he took a convenience sample.
Step-by-step explanation:
The first question we need ask is whether his classmates make up the population of the city? Or does it mean that his classmate will give unbiased representation of the entire city? Because we are certain there are many other schools within the city of interest. Less assume he can do that, what will happen to all other schools? These are many other factors rendered his choice of sampling inappropriate for this study.
Therefore, the process is not random but convenience sample, even though they might give information about their various household sizes, it might not give the true picture of the city he is trying to investigate.
The best approach should have been a probability sampling techniques, preferably a systematic random sampling approach. If he has followed this process of sample selection, it will give a more reliable and well representative sample to determine the households size in the city of his interest.
