Refer to the image attached.
Given: 
and 
are congruent.
To Prove: 
ABC is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to Line segment AC.
Consider triangle ABD and BDC,
(given)
(By the definition of a perpendicular bisector)
(By the definition of a perpendicular bisector)
Therefore, 
by Angle Side Angle(ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)
Answer:
C. 
Step-by-step explanation:
Let 
, 
and 
. From statement we know that 
, which is equivalent to the following linear algebraic formula:
![B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]](https://tex.z-dn.net/?f=B%28x%2Cy%29%20-A%28x%2Cy%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5BC%28x%2Cy%29-B%28x%2Cy%29%5D)
(1)
(2)
Then, the coordinates of point B on AC are:
Which means that correct answer is C.
Im not sure but I think the correct answers are:
3. B
4. A
9514 1404 393
Answer:
a) P(t) = 6.29e^(0.0241t)
b) P(6) ≈ 7.3 million
c) 10 years
d) 28.8 years
Step-by-step explanation:
a) You have written the equation.
P(t) = 6.29·e^(0.0241·t)
__
b) 2018 is 6 years after 2012.
P(6) = 6.29·e^(0.0241·6) ≈ 7.2686 ≈ 7.3 . . . million
__
c) We want t for ...
8 = 6.29·e^(0.0241t)
ln(8/6.29) = 0.0241t
t = ln(8/6.29)/0.0241 ≈ 9.978 ≈ 10.0 . . . years
__
d) Along the same lines as the calculation in part (c), doubling time is ...
t = ln(2)/0.0241 ≈ 28.7613 ≈ 28.8 . . . years
Answer:
96 decrease
Step-by-step explanation:
5000000-20000=
480000/500000 x 100
96
96% decreased
