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1 answer:
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Answer:
Step-by-step explanation:
to solve this problem we can use the Pythagorean theorem
UT and TL are the legs, while LU is the hypotenuse
We have to find LU so we can proceed like this
x^2 + (x+1)^2 = LU^2
x^2 + x^2 + 1 + 2x = LU^2
2x^2 + 2x + 1 = LU^2
LU = +/-
we have to take only the positive value because a length can’t be negative.
2x^2 + 2x + 1 is positive for every value of x, so the final answer is
Side AB is longer than side FD. Option (b) is correct.
Further explanation:
Given:
The options area as follows,
(a). and
are the same length.
(b). is longer than
(c). is shorter than
(d).
Explanation:
The sides opposite to equal angles are equal.
The side opposite to greater angle is greater than the other one.
The measure of is
The measure of is
is greater than
. Therefore, the side opposite to greater angle is greater.
Side AB is longer than side FD. Option (b) is correct.
Option (a) is not correct.
Option (b) is correct.
Option (c) is not correct.
Option (d) is not correct.
Learn more:
- Learn more about inverse of the function brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function brainly.com/question/3412497.
Answer details:
Grade: High School
Subject: Mathematics
Chapter:Triangles
Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.