Answer:
ΔAMD ≅ ΔCMD by Side Side Side (SSS) congruency rule
Step-by-step explanation:
Given that ΔABC is an isosceles triangle, with
≅ ![\overline{BC}](https://tex.z-dn.net/?f=%5Coverline%7BBC%7D)
With BM as the median line from B to AC, we have;
∠ABM = ∠CBM
Also we have;
≅
- Reflexive property
Therefore, ΔABD ≅ ΔCBD Side Angle Side SAS condition of congruency
Therefore;
≅
Corresponding sides of congruent triangles are congruent CPCTC
≅
- AC is bisected by
where
= Median line
≅
- Reflexive property
Therefore, we have;
ΔAMD ≅ ΔCMD - Side Side Side (SSS) congruency rule
Answer:
what's your question?
Step-by-step explanation:
So first you need to expand 9(k-2/3) where you would multiple 9 by everything inside the brackets. 9 x k = 9k and 9 x -2/3 = -6 so it'd become
0=9k-6+33 then add together 6 and 33
0=9k+39 then moves k to the other side
-9k=39 and then divide both sides by -9
k= -39/9 which you could simplify to -13/3
k=-13/3
Answer:
A. Miles per gallon, or mpg
explanation:
Fuel economy is a measure of how far a vehicle will travel with a gallon of fuel; it is expressed in miles per gallon.
Given:
The sequence is
436, 218, 109, 54.5, 27.25,...
To find:
The explicit formula for the given sequence.
Solution:
We have,
436, 218, 109, 54.5, 27.25,...
It is a GP because the two consecutive terms have common ratio.
Here,
First term : a=436
Common ratio : d = ![\dfrac{218}{436}](https://tex.z-dn.net/?f=%5Cdfrac%7B218%7D%7B436%7D)
= ![\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D)
= ![0.5](https://tex.z-dn.net/?f=0.5)
Now, the explicit formula for a GP is
![g_n=ar^{(n-1)}](https://tex.z-dn.net/?f=g_n%3Dar%5E%7B%28n-1%29%7D)
Where, a is the first term and r is the common ratio.
Putting a=436 and r=0.5, we get
![g_n=436(0.5)^{(n-1)}](https://tex.z-dn.net/?f=g_n%3D436%280.5%29%5E%7B%28n-1%29%7D)
Therefore, the correct option is c.