Answer:
35
Step-by-step explanation:
Because Zion has the sink of a half sphere
Answer:
P(2)=0 then x-2 is a factor of P(x)
Step-by-step explanation:
To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.
2(2)^3-3(2)^2-17(2)+30
2(8)-3(4)-34+30
16-12-34+30
4-34+30
-30+30
0
Since P(2)=0 then x-2 is a factor
<u>Let's consider the facts at hand</u>:
- By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
- ∠BEC = ∠DFC
- Sides BE = DF
<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
<em>Definitions of Theorem I used:</em>
- <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
- <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>
<em />
Using a system of equations, it is found that she made:
- 168 two-point field goals.
- 53 three-point field goals.
For the system, we have that:
- x is the number of free throws made.
- y is the number of two-point field goals made.
- z is the number of three-point field goals made.
She made 362 shots, hence:

She scored 636 points, hence:

- Observation: I used 636 as there would not be a solution(number of field goals cannot be a fraction) if 634 was used.
She made 27 more 2-point field goals than free throws, hence:

Then:








Equaling both equations for z, finding x:

Then, to find y and z:

She made:
- 168 two-point field goals.
- 53 three-point field goals.
You can learn more about system of equations at brainly.com/question/25960609
Step-by-step explanation:




