Answer:
16,000
Step-by-step explanation:
11,319 rounded to the nearest thousand is 11,000.
4,895 rounded to the nearest thousand is 5,000.
11,000 + 5,000 is equal to 16,000.
I think it’s the first one (the one you chose in the pics).
Answer:
1)
1. Given
2. Vertical Angles Theorem
3. SAS Congruence Postulate
2)
1. Given
2. Definition of Angle Bisector
3. Definition of Perpendicular Lines
4. All right angles are congruent.
5. Reflexive Property
6. ASA Congruence Postulate
3)
1. AC is the perpendicular bisector of PT.
2. Definition of Bisector
3. AC = AC
4. Definition of Perpendicular Bisector
5. <PCA = <TCA
6. SAS Congruence Postulate.
7. PA = TA; CPCTC
Step-by-step explanation:
None necessary.
Answer:
![(x+4)^2 - 11 = 0\\](https://tex.z-dn.net/?f=%28x%2B4%29%5E2%20-%2011%20%3D%200%5C%5C)
a = 4
b = -11
Step-by-step explanation:
![x^{2} +8x+5\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%2B5%5C%5C)
use the complete the square method:
![x^{2} +8x+5=0\\x^{2} +8x = -5\\\\(x+4)^{2} = x^2 + 8x + 16\\\\x^2 + 8x + 16 = -5 + 16\\](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%2B5%3D0%5C%5Cx%5E%7B2%7D%20%2B8x%20%3D%20-5%5C%5C%5C%5C%28x%2B4%29%5E%7B2%7D%20%3D%20x%5E2%20%2B%208x%20%2B%2016%5C%5C%5C%5Cx%5E2%20%2B%208x%20%2B%2016%20%3D%20-5%20%2B%2016%5C%5C)
we completed the square of x^2 + 8x + ... which is x^2 + 8x + 16 using (x+4)^2
we added 16 to both sides because whatever you do to one side, you have to do to the other:
![x^{2} +8x+16 = 11\\(x+4)^2 = 11\\(x+4)^2 - 11 =0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%2B16%20%3D%2011%5C%5C%28x%2B4%29%5E2%20%3D%2011%5C%5C%28x%2B4%29%5E2%20-%2011%20%3D0)