Answer: 81%
Step-by-step explanation:
From the question, we are informed that a student received the following test scores: 71%, 89%, 72%,
84% and 83% in 5 tests and the student wants to maintain an average of 80%.
The lowest score/grade they can receive on the next test to maintain at least an 80% average first thus:
First, to make it easy we can remove the percent sign. Then we multiply 80 by 6 since we're calculating for 6 tests scores. This will be:
= 80 × 6
= 480
We then add all the 5 test scores. This will be:
= 71 + 89 + 72 + 84 + 83
= 399
We then subtract the values gotten. This will be:
= 480 - 399
= 81
This means the student must get at least 81%
For this case we have the following equation:

We must replace the following value in the equation:

Substituting we have:

Simplifying the given expression we have:

Then, using logarithm properties in base 10, we can rewrite the expression:

Finally, making the product, the result is:
Answer:
option 4
HL (It's a right triangle and the hypotenuse and leg are congruent. This can also be thought of as SAS.)
SAS (Side angle side. All congruent.)
SSS (Line AR is shared by both triangles. A line is always congruent on itself. The other two are self explanatory.)
ASA and AAS cannot be used because we can only confidently confirm one angle of each triangle.