(180-x) + 18 + 30 + x/2 = 180
=> 180 + 48 - x + x/2 = 180
=> -x/2 + 48 = 0
=> x/2 = 48
=> x = 48×2 = 96°
Answer:
ANS: 1 - D
ANS: 2 - B
ANS: 3 - A
ANS: 4 - D
Step-by-step explanation:
Answer:
Fractions are equivalent if their simplest forms are the same. So, to make equivalent fractions, all you have to do is multiply the top number (the numerator) and the bottom number (the denominator) by the same number—and it can be any number, as long as you use the same one for both the top and bottom.
Step-by-step explanation:
Fractions are equivalent if their simplest forms are the same. So, to make equivalent fractions, all you have to do is multiply the top number (the numerator) and the bottom number (the denominator) by the same number—and it can be any number, as long as you use the same one for both the top and bottom.
Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.


Take positive square root of both sides

Split:


Recall that the side length (l) is rational.
However,
is irrational.
So, the product of l and
will be irrational
Hence:
The diagonal is irrational
Answer: One possible equation could be y = -2x^2 - 3.
The equation that is given would be in the shape of an upside down parabola. It would have a maximum (vertex) at (0, -3).
The point (0, -3) would also be the y-intercept of the graph.
You could change the -2 to any other negative number and the equation would work in your problem.