Answer:

Step-by-step explanation:
We know that since angles in a triangle add up to 180º, the remaining angle must be 45º.
So the side with length
must be equal to the side with length
. That is:

Now, by Pythagoras:

Turn it into transcript, It's upside down and I can't see it properly.
The resulting fractions is 14/15
<h3>Solving equations</h3>
Given the expression shown below;
1/3 + 2/5(2 - 1/2)^2
Solve the expression in bracket
1/3 + 2/5(3/2)^2
1/3 + 2/5(9/4)
Multiply the fractions
1/3 + 18/20
Find the LCM
20+36/60
56/60
28/30
14/15
Hence the resulting fractions is 14/15
Learn more on fractions here; brainly.com/question/78672
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Answer:
TUA=123
Step-by-step explanation:
so first we find <TUS in terms of x
so 180-11x-2
178-11x
so now we can use the sum of a triangle's angles which is always 180 to find the angles in triangle TUS
178-11x+5x+10+58=180
178-6x=112
take 178 from both sides
-6x=-66
x=11
so we can do 11x11+2=TUA
TUA=123
Answer:
See explanation below
Step-by-step explanation:
a. f(x) is increasing at (-∞, 1] and [7, ∞) because f'(x) is positive at those intervals.
b. f(x) is concave up at [4, ∞) because the slope of f'(x) or f''(x) is positive.