Answer:
A. yes she is going to have $157
Step-by-step explanation:
346-189=$157
(a) We have ⌊<em>x</em>⌋ = 5 if 5 ≤ <em>x</em> < 6, and similarly ⌊<em>x</em>/3⌋ = 5 if
5 ≤ <em>x</em>/3 < 6 ==> 15 ≤ <em>x</em> < 18
(b) ⌊<em>x</em>⌋ = -2 if -2 ≤ <em>x</em> < -1, so ⌊<em>x</em>/3⌋ = -2 if
-2 ≤ <em>x</em>/3 < -1 ==> -6 ≤ <em>x</em> < -3
In general, ⌊<em>x</em>⌋ = <em>n</em> if <em>n</em> ≤ <em>x</em> < <em>n</em> + 1, where <em>n</em> is any integer.
I do not understand what is being asked in (c) and (d), so you'll have to clarify...
Answer:
Both are similar by SAS similarity.
This SAS similarity is equivalent to the congruence.
Step-by-step explanation:
Step 1:
To prove that ACB and HIG as similar triangles.
We have to look upon the corresponding sides.
SAS= Side angle sides , there the angle must be in between two sides.
ACB =
HIG
Lets work on the corresponding sides.
IG/AC = IH/AC
= 
Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.
We have
= 
Both sides are equal.
So its proved that both are similar with SAS similarity theorem.
3/10
As you know the answer already I don't think you need any further explanation :)
Find the common ratio by dividing.
16 / 8 = 2
8 / a = 2
2 / b = 2
The common ratio is 2.
Since we need to find the values of a and b, use the common ratio to solve for them.
8 / 2 = 4 (a)
2 / 2 = 1 (b)
Now, we know that first 5 terms.
We can solve for the 8th term using the previous terms and the common ratio.
6th term: 1 / 2 = 0.5
7th term: 0.5 / 2 = 0.25
8th term: 0.25 / 2 = 0.125
Part A: 2
Part B: a = 4, b = 1
Part C: 0.125
Best of Luck!