Answer:
19m - 10
Step-by-step explanation:
Order of Operation: BPEMDAS
Step 1: Write out equation
5(3m - 2) + 4m
Step 2: Distribute parenthesis
15m - 10 + 4m
Step 3: Combine like terms
19m - 10
"Common" means "same for both" or "same for all".
There's nothing common about a single item. There's no such thing
as a "common"factor unless there are at least two numbers.
Total no. of buttons = 300 + 700 + 1000
+ 500 = 2500
Possibility for a person to pick a pink button = 300/2500 = (3/25)%
Amount of pink buttons she can expect her friends to pick = 50(3/25) = 6
She can expect to make 6 pink barrettes.
Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB
=AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.