Let the numerator = x. Then,
The fraction is x/(3x+4).
If both the numerator and denominator are increased by 4, the fraction will be (x+4)/(3x+8), which, according to the question is equal to 9/25. So,
(x+4)/(3x+8) = 9/25
25(x+4) = 9(3x+8)
25x + 100 = 27x + 72
2x = 28
x = 14
Thus, the numerator is 14 and the denominator is (3*14 + 4), which is equal to 46. So the fraction is 14/46.
Answer:
- ΔSQR ≅ ΔTQP by ASA congruence
- triangle congruence is needed before a claim based on that can be made
Step-by-step explanation:
1. The last step claims the lengths PQ and RQ are the same based on the congruence of triangles SQR and TQP. In order to make that claim, some step in the proof needs to claim that those triangles are congruent. That claim is the missing step:
ΔSQR ≅ ΔTQP --- ASA congruence postulate
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2. Without a claim of triangle congruence, the claim of triangle side congruence is unsupported. The proof must contain a claim that the triangles containing corresponding sides PQ and RQ are congruent.
Answer:
yes
Step-by-step explanation:
yes I want ☺️☺️☺️☺️☺️☺️
Answer:
26%
Step-by-step explanation:
Adding r% to a bill is equivalent to multiplying the amount by (1 +r%). Each resulting amount is rounded to the nearest penny.
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<h3>tax</h3>
After the 6.5% tax was added, the bill was ...
$12.70 × (1 +0.065) = $13.5255 ≈ $13.53
<h3>tip</h3>
After the 18% tip was added to this amount, the total cost was ...
$13.53 × (1 +0.18) = $15.9654 ≈ $15.97
<h3>total</h3>
Then the multiplier of the original bill was ...
$15.97/$12.70 ≈ 1.25748... ≈ (1 +25.7%)
The total cost was about 26% more than the original bill.
