Answer:
See below
Step-by-step explanation:
For a parallelogram m < A = m < C so:-
75 + 5x = 87 + 3x
2x = 12
x = 6
and m< A = 75 + 30 = 105
and m < C = 87 + 18 = 105
Now if the other 2 angles are = 75 degrees( that is the same side angles add up to 180 degrees) we have proved that it is a parallelogram.
m < B = m < D
111 - 6x = 39 + 6x
-12x = -72
x = 6
m < B = 111 - 36 = 75 and m < D = 39 + 36 = 75
So this has been proved.
Answer:
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the difference between the shortest and the longest
This question implies that we calculate the range.
From the table, we have:
So, we have:
Answer: ( x + 1)² + (y - 4)² = 16
Explanation:
1) The given equation, ( x - 2)² + (y + 1)² = 16, represents a circumference with center (2,-1) and radius √16 = 4.
1) The translation will not modify the radius of the circunference, siince translations are rigid transformations.
2) The translation 3 units to the left and 5 units upward certainly will move the center of the circunference.
This is how:
(x,y) → (x - 3, y + 5)
(2, -1) → (2 - 3, - 1 + 5) = (- 1, 4)
3) Then, keeping the same radius and being the center (-1,4), the equation of the circumference after the translation will be:
( x + 1)² + (y - 4)² = 16 ← answer
You have that:
1) 7x/4+3 (Name using degree: First degree polynomial),(Name using number of terms:binomial)
2) 5.2x^2-4x+2.5 (Name using degree: Quadratic polynomial),(Name using number of terms:trinomial)
3) 3/5 (Name using degree: zero degree polynomial),(Name using number of terms:monomial)
4) 0.75x^2 (Name using degree: Quadratic degree polynomial),(Name using number of terms:monomial).
Answer:
1
Step-by-step explanation:
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