Which triangles are congruent by ASA
2 answers:
Answer: ΔHGF≅ ΔABC
Step-by-step explanation:
- ASA congruence postulate says that if two angles and the included side of a triangle are congruent to two angles and the included side of next triangle then the triangles are congruent.
In the given figure ΔABC and ΔHGF have the pair of two corresponding angles and the included sides are congruent.
i.e.
tex]\angle{G}\cong\angle{B}[/tex]
Therefore , by ASA congruence postulate:-
ΔABC ≅ ΔHGF
In ΔTUV , there is only angle given . So there is no enough information to prove it by ASA.
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Ben's gross income was $28,500.
Step-by-step explanation:
Sales for the month = $950000
Commission rate = 3%
Amount of commission = 3% of sales for the month
Amount of commission =
Amount of commission =
Amount of commission = $28500
Ben's gross income was $28,500.
Keywords: percentage, division
Learn more about division at:
#LearnwithBrainly
Answer:
$121
Step-by-step explanation:
A suitable calculator or spreadsheet can tell you the payment amount for the given loan values. The annual interest rate will be 12 times the monthly, rate, or 2.4%. The number of monthly payments in 12 years is 12×12 = 144.
__
A calculator shows the monthly payment will be about $121.
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If you want to figure this "by hand," the amortization formula is used.
A = Pr/(1 -(1+r)^-t)
where P is the loan amount, r is the monthly interest rate, and t is the number of months.
A = 15100(0.002)/(1 -(1.002^-144)) ≈ 120.789 ≈ 121
The monthly payment would be $121.
Answer:
An old bone contains 80% of its original carbon-14 in 1844.6479 years
Step-by-step explanation:
We know that
half life time of C-14 is 5730 years
so, h=5730
now, we can use formula
we can plug back h
and we get
An old bone contains 80% of its original carbon-14
so,
P(t)=0.80Po
we can plug it and then we solve for t
So,
An old bone contains 80% of its original carbon-14 in 1844.6479 years