Answer:
Claim 2
Step-by-step explanation:
The Inscribed Angle Theorem* tells you ...
... ∠RPQ = 1/2·∠ROQ
The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.
... 2·∠RPQ = ∠ROQ
The symmetric property of equality says you can rearrange this to ...
... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ
_____
* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.
You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.
Answer:
(A) A scatter plot is used to determine if the linear model is appropriate.
(B) A linear model estimates the value of the dependent variables.
Step-by-step explanation:
The regression model is formed to estimate the Wingspan using the bird's Height when perched.
The model is of the form:

(A)
The <em>R</em> squared value is a statistic that is used to determine the proportion of variation in the dependent variable that can be explained by the independent variables.
<em>R</em> squared value of 93% indicates that 93% variation in the Wingspan is explained y the bird's height when perched.
To determine whether the linear model is appropriate one could use a scatter plot. A scatter plot is used to determine whether the provided data is representing the linear relation between two variables.
(B)
The regression model is:

This model is used to estimate the wingspan for any provided bird's height.
It does provided an accurate value of the dependent variable.
Thus, a bird with height 10 inches can have an estimated wingspan of 17 inches.
Answer:
20 units
Step-by-step explanation:
The Pythagorean Theorem states that:

Now we can insert values into the equation.

Now we can plug these ☝ values into the Pythagorean Theorem:

After we solve for
we get:

-2x + 16 = x + 28
-12 = 3x
X = -4