Answer:
DB = CA (Proved)
Step-by-step explanation:
Statement 1.
∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2
Reason 1.
Given
Statement 2.
Between Δ DBM and Δ CAM,
(i) DM = CM,
(ii) ∠D = ∠C and
(iii) ∠DMB = ∠CMA
Reason 2.
(i) given
(ii) given and
(iii) ∠ DMB = ∠1 + ∠AMB and ∠CMA = ∠2 + ∠AMB
Since ∠1 = ∠2, so, ∠DMB = ∠CMA.
Statement 3.
Δ DBM ≅ Δ CAM
Reason 3.
By angle-side-angle rule.
Statement 4.
DB = CA
Reason 4.
Corresponding sides of two congruent triangles. (Answer)
The equation is 314 = 1,200 - 240x
1,200 is the number of M&M's it starts with
The problem said the family eats 1/5th of the candy every day
1/5 of 1,200 is 240
It is a -240 because the amount of m&m's is getting fewer each day
The x stands for the number of days
Sorry but I'm not sure if I could answer your problem exactly
The answer is 3.69 days
Because there isn't an exact day that there would exactly 314 M&M's left
That'd be : 28.8 . I hope this helps. This is it step by step.
60/x=100/48
<span>(60/x)*x=(100/48)*x </span>
<span>60=2.08333333333*x
</span>(2.08333333333) to get x
<span>60/2.08333333333=x </span>
<span>28.8=x </span>
<span>x=28.8</span>
Hello!
First you find the common difference in the sequence
6 - 12 = -6
0 - 6 = -6
The common difference is -6
We can now make the equation
-6(n - 1) + 12
we got the 12 because it is the first number in the sequence
Simplify
-6n + 6 + 12
Simplify
18 - 6n
The answer is B) an = 18 - 6n
Hope this helps!
Kid tickets = 3d
D = adult tickets
448 = (3 * d) + d
448 = 4d
448/4 = 112
112 = d
3 * d = 336
There are 336 kid tickets and 112 adult tickets sold.
