Answer:
see explanation
Step-by-step explanation:
(a)
= 1 ( any value divided by itself = 1 )
(b)
= a ( any value divide by 1 is the value itself )
(c)
×
= 
The product of 2 fractions is the product of the numerators divided by the product of the denominators
(d)
÷
= 
To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
÷
=
×
= 
(e)
+
= 
Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also
(f)
-
= 
See explanation for part (e)
Answer:
Alternate Interior Angles
Step-by-step explanation:
Since they are inside the parallel lines, Alternate Exterior Angles and any other similar theorems can be ruled out.
Since they are on opposite sides of each other, Corresponding Angles and any other similar theorems can be ruled out.
Since they are far apart from each other, Supplementary Angles, Adjacent Angles, Vertical Angles, and any other similar definitions can be ruled out.
Therefore, we are left with Alternate Interior Angles.
Answer:
See Below.
Step-by-step explanation:
We are given that:

By vertical angles:

Hence, by substitution:

Then by Angle-Angle Similarity:

Answer:
y + 2 = -2(x - 3)^2
Step-by-step explanation:
We can see immediately that the vertex is at (3, -2).
The vertex form of the equation of a parabola is
y - k = a(x - h)^2.
If the parabola opened upward, the equation would be y + 2 = 2(x - 3)^2. But seeing that this particular parabola opens downward, the equation is
y + 2 = -2(x - 3)^2.
Check: Does the point (2, -4) satisfy this equation?
-4 + 2 = -2(2 - 3)^2 becomes -2 = -2(-1)^2, which is true.
Answer:
No
Step-by-step explanation:
the line has to be straight for it to be a proportional relationship..