In the right triangle given, the length of UT using the Pythagorean theorem is: UT = 15.
<h3>What is the Pythagorean Theorem?</h3>
Pythagorean theorem is given as: c² = a² + b², where a and b are the legs of a right triangle, and c is the hypotenuse (the side opposite the right angle).
Given:
c = TV = 17
a = UT = ?
b = UV = 8
Plug in the values
17² = UT² + 8²
UT = √(17² - 8²)
UT = 15.
Thus, in the right triangle given, the length of UT using the Pythagorean theorem is: UT = 15.
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140 degree
Step-by-step explanation:
Since the sum total of a polygon is 540 degree, simply subtracts from each degree of the other angles.
540 degree - 110 degree - 85 degree - 125 degree - 80 degree = 140 degree
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2x-32
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You would distribute the 4.
Answer:
a) The student cannot receive an A in the class.
b) The student must score 119 in the third exams to make an A. This is clearly not possible, since he cannot make 119 in a 100-points exam.
c) The student can make a B but he must score at least 84 in the third exam.
Step-by-step explanation:
To make an A, the student must score 315 (350 x 90%) in both home and the three exams.
The student who scored 35 (7 + 8 + 7 + 5 + 8) in the homework and 161 (81 + 80), getting a total of 196, is short by 119 (315 - 196) scores in making an A.
To make a B, the student must score 280 (350 x 80%) or higher but not reaching 315.
B ≥ 280 and < 315.
Since, the student had scored 196, he needs to score 84 and above to make a B in the last exam.
