Answer:
D
Step-by-step explanation:
To keep it short, refer to triangle exterior angle theorem.
Edit: If you want the full explanation,
A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.
Meaning that
measure of angle 1 equal the measure of 3 and 4 combined.
B. is wrong they are equal to each other because angle 2 is equal to angle 2
angle 1 is equal to angle 3 and 4
So they are equal
C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong
D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.
Answer:
Step-by-step explanation:
A rectangular garden has vertices at
(x = 4, y = 3), (x = 6, y = 3), (x = 6, y = 9), and (x = 4, y = 9).
To plot each vertex of the garden find on the graph the x and y coordinate of the point and mark the point.
Answer:
x = - 1
Step-by-step explanation:
Given
9 = - x + 8 ( subtract 8 from both sides )
1 = - x ( multiply both sides by - 1 )
- 1 = x ⇒ x = - 1
Sorry I don’t really know
Answer:
a
The null hypothesis is 
The alternative hypothesis is 
b

c

d
There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is
The sample standard deviation is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally the p-value is obtain from the z-table the value is

=> 
From the calculation we see that
hence we fail to reject the null hypothesis
Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900