Ron Haslam gets a Social Security benefit of $1,200 per month. His wife receives a benefit equal to 40 percent of Ron's benefit.
2 answers:
Answer:
Their monthly income be $1930.
Step-by-step explanation:
Consider the provided information.
Ron Haslam gets a Social Security benefit of $1,200 per month.
His wife receives a benefit equal to 40 percent of Ron's benefit.
Calculate the 40% of 1200 as shown.
That means his wife receives a benefit of $480.
They take an additional $250 per month from savings.
Their monthly income be;
$1200+$480+$250 = $1930
Hence, their monthly income be $1930.
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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.