Sinα=3/10
α=arcsin(3/10)°
α≈17.5°
But since we are restricted to 90°<α<180° the angle must lie in the second quadrant so:
α≈(180-17.5)°
α≈162.5°

We factor the denominators
Factor x^2 - 16
x^2 - 4^2
We use a^2 - b^2 = (a+b)(a-b)
so x^2 - 4^2 = (x+4)(x-4)
Replace it in the given equation

Excluded values are the values that makes the denominator 0
we have (x-4) and (x+4) in the denominator
We set the denominator =0 and solve for x
x-4 =0
Add 4 on both sides
x= 4
x+4=0
subtract 4 onboth side
so x= -4
Excluded values are x=-4 and x=4
Answer: Angles C and E are same side interior angles.
Step-by-step explanation:
Answer:
Costa Rica
Step-by-step explanation:
Since there are no numbers, i will assume that the length of recess is 1 minute, or x. if social studies is 4 more than 2 times the length of recess, we can use the equation x*2+4 to solve the problem. the end result will be 6 minutes. Social studies is 6 minutes longer than recess