The external angle is suplementary to the internal angle close to it. We also know that the sum of all the internal angles of the triangle are equal to 180 degrees, this means that the angle "a" is suplementary to the sum of the angles "b" and "c". Through this logic, we can conclude that since:
Then we can conclude that:
Therefore the statement is true, the exterior angle is equal to the sum of its remote interior angles.
Let's use an example:
On this example, the external angle is 120 degrees, therefore the sum of the remote interior angles must also be equal to that. Let's try:
The sum of the remote interior angles is equal to the external angle.
Complete Question
A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?
Answer:
The 95% confidence interval is 
No, the confidence interval includes 0.25, so the true percentage could easily equal 25%
Step-by-step explanation:
From the question we are told that
The total sample size is 
The number of offspring that is yellow peas is 
The number of offspring that is green peas is 
The sample proportion for offspring that are yellow peas is mathematically evaluated as
Given the the confidence level is 95% then the level of significance is mathematically represented as
The critical value of 
from the normal distribution table is
Generally the margin of error is mathematically evaluated as
=> 
=> 
The 95% confidence interval is mathematically represented as
=> 
=>
Answer:
Hi mate your answer is
Step-by-step explanation:
Area of traingle equal 1/2×base×height
We have divided by two this is because you know the are of a rectangle is base + height but a triangle is like cut rectangle into two half pieces of you look carefully than to make any traingle a rectangle you will have to take another on opposite side so that's why we divide it by two
If you need further help plz ask
There are 4 lateral faces that are triangles. Each triangle is: A =
A =
= 176
There is one base that is a square. A = L x W
A = 16 x 16
= 256
Surface area = 256 + 4(176)
= 256 + 704
= 960
Answer: B
