Since x=x, this is an isosceles right triangle. By the Pythagorean Theorem:
h^2=a^2+b^2 (the hypotenuse squared is equal to the sum of the squared sides)
5^2=x^2+x^2
25=2x^2
2x^2=25
x^2=25/2
x=√(25/2)
x=5/√2 now if we rationalize the denominator...
x=(5√2)/(√2√2)
x=(5√2)/2
Answer:
<h2>g( - 3) + 13 = - 2</h2>
Step-by-step explanation:
g(x) = x - 2x²
To find g( - 3) + 13 substitute the value of x that's - 3 into g(x) and add 13 to it
We have
g( - 3) + 13 = - 3 - 2(-3)² + 13
= -- 3 - 2(9) + 13
= 3 - 18 + 13
We have the final answer as
<h3>g( - 3) + 13 = - 2</h3>
Hope this helps you
9514 1404 393
Answer:
Step-by-step explanation:
Angles opposite congruent sides are congruent, so base angles D and F of this isosceles triangle have the same measure:
y = 55
__
The sum of angles in the triangle is 180°, so ...
55° +(11x +4)° +55° = 180°
11x = 66 . . . . . . . . divide by °, subtract 114
x = 6 . . . . . . . . . . .divide by 11
The values of x and y are 6 and 55, respectively.
Answer: C. 2 and 3 only
Step-by-step explanation: i did the same quiz
Answer:
12.43ft
Step-by-step explanation:
From the given diagram, we simply apply the sin rule
According to the sine rule
=
y is the side y
y° = (90 - 43) = 47
z = 17
z° = 90
Input the parameters and solve;

ysin 90 = 17 sin 47
y = 12.43ft