The corresponding parts that are congruent are (a) AB and DE
<h3>How to determine the congruent parts?</h3>
The statement ΔABC ≅ ΔDEF means that the triangles ABC and DEF are congruent.
This implies that the following points are corresponding points:
A and D; B and E; C and F
When two corresponding points are joined together, the congruent parts are:
AB and DE, AC and DF, BC and EF
Hence, the corresponding parts that are congruent are (a) AB and DE
Read more about congruent triangles at:
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The <em>simple annual interest</em> rate for the $ 525 loan is equal to 46.35 %.
<h3>What is the interest rate behind a pay back?</h3>
In this situation we assume that the loan does not accumulate interests continuously in time. Hence, the <em>interest</em> rate for paying the loan back 75 days later is:
575 = 525 · (1 + r/100)
50 = 525 · r /100
5000 = 525 · r
r = 9.524
The loan has an <em>interest</em> rate of 9.524 % for 75 days. <em>Simple annual interest</em> rate is determine by rule of three:
r' = 9.524 × 365/75
r' = 46.350
The <em>simple annual interest</em> rate for the $ 525 loan is equal to 46.35 %.
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<span>Ans : According to the Equation -
10.2638 + 0.0491x
= 10.2638 + 0.0491 X 748 ( Because x= 748, given )
= 10.2638 + 36.72
= 46.99
= 47 (Approximately)</span>
Answer:
(20 + 1) + (30)
Step-by-step explanation
i think that is the answer sorry if i'm wrong
Answer:
0.5
Step-by-step explanation:
First, we need to find how far ahead Marshall was. Since he had been biking at 20 mph for one hour, he had gone 20 miles.
Next, we need to find how long it will take Brett to catch up to Marshall. In order to do this, we need to find how much faster Brett is going than Marshall. We do this by subtracting Marshall's speed from Brett's speed.
60 - 20 = 40. So, Brett is catching up to Marshall at 40 mph. Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles. We find this by dividing 40 miles per hour by 20. This is equal to 1/2 hour. So, it will take Brett 0.5 hours to catch up to Marshall. This is the same as A, so A is the correct answer.
We can check our answer by seeing how far Marshall and Brett will have gone. Marshall will have been biking for 1.5 hours, so we multiply 20 * 1.5 = 30. Marshall went 30 miles.
Brett drove for .5 hours at 60 mph, so he went 30 miles. Since Brett and Marshall went the same distance, our answer is correct.
