Answer:
(a) y = -4x + 4 (b) y = 2x + 3
<u>solving steps:</u>
note: m refers to slope and y₁ to y point and x₁ to x point
a)
coordinates: (2,-4)
slope: -4
equation:
b)
coordinates: (1,5), (-1,1)
slope:
equation:
Answer:
sum of interior angles of octagon is 1080 degrees
From figure ,
136 + 132 + 129 + 116 + 158 + 141 + 124 + x = 1080
so, x = 1080 - 936
= 144
Step-by-step explanation: Simply add the angles and substract the sum from 1080 which is the sum of interior angles of octagon
36/8=4.5 which is how many millimeters there are in a meter. So 6 meters *4.5 would be 27 millimeters. The length of the blue print is 27 millimeters
Answer:
△PQR and △RST are not similar.
Step-by-step explanation:
In triangle △PQR, two known interior angles are 34° and 80°. So the measure of third angle is

In triangle △RST, two known interior angles are 24° and 90°.

Two triangles are similar if their corresponding angles are same and the corresponding sides are proportional.
Since the angles of △PQR and △RST are not same, therefore we can say that the △PQR and △RST are not similar.
Answer:
Yes. There is a bias in the selected sample.
Step-by-step explanation:
Population of interest = undergraduate students at the university
Respondents to email requests = 2,000 students
Sample size = 100 students
Sample is based on the 2,000 respondents.
Therefore, sample is biased.
b) A sampling method is said to be biased if it systematically favors a group. By making some members of the student population systematically more likely to be selected in a sample than others, there is an occurrence of sampling bias. Usually, findings from biased samples can only be generalized to populations that share characteristics with the sample and to the entire population of interest.