Essentially, we are trying to find the missing constant term of
(remember that we are subtracting
due to the negative sign in front of the second term). Let's expand this to see what we can work with:


Now, we know the second term is
, so let's set the second term in the polynomial we just found equal to
:


- Divide both sides of the equation by


- Divide both sides of the equation by 2
We have found
. We know the missing constant term is
, according to the polynomial we found earlier. Thus, the missing term is:

The missing constant term is 36.
Answer: a. 90°
Step-by-step explanation:
We know that the in a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.
In the problem∠XYZ is the inscribed angle
∠XYZ=
⇒ ∠XYZ=
Since XZ is a diameter of the circle which is a line segment, thus ∠XZ=180°
∴ ∠XYZ=
∴ ∠XYZ=
Therefore, a. 90° is the measure of ∠XYZ.
Let x= Allen's score
1/2x +8=50
multiply by 2 to eliminate the fraction
x+16=100
subtract 16 from both sides
x= 84 is Allen's test score
hope this helps
<u>Answer:</u>
The lateral area of volcano is 323.361 km square
<u>Explanation</u>:
Given the diameter of the volcano (cone) = 20 km
Then, radius (r) = 20/2 = 10km
Height of the volcano (h) = 2.46 km
Given, the volcano has a distinctive cone shape
Then, lateral area of cone is given by the formula, 
Substituting the values,



= 323.361 km square
Therefore, the lateral area of cone is 323.361 km square
Answer:
(-1)
Since it is a downward slope with two equalized points x=7 and y=7. The slope is m = -1.