Answer:



Step-by-step explanation:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

Also sum of angles in triangle CBD is 180°.

Answer:
The parent sine graph
has a range of -1 ≤ y ≤ 1
It crosses the x-axis x = 0° ± 180°n
The maximum points occur when x = 90° ± 360°n and y = 1
The minimum points occur when x = 270° ± 360°n and y = -1
The sketch the graph of function
we simply move the graph of
up 2 units.
So this means it will have a range of 1 ≤ y ≤ 3
It no longer crosses the x-axis.
The maximum points occur when x = 90° ± 360°n and y = 3
The minimum points occur when x = 270° ± 360°n and y = 1
<u>Attached diagram</u>
The parent function
is shown in grey (dashed line)
The function
is shown in red.
Answer:
Enlargement.
Scale Factor: 3
Step-by-step explanation:
Use points to find the enlargement. Typically, you will use all the points.
A(1 , 1) ⇒ A'(3 , 3)
B(2 , 1) ⇒ B'(6 , 3)
C(1 , 2) ⇒ C'(3 , 6)
D(2 , 2) ⇒ D'(6 , 6)
To find the scale factor, simply divide the Point' with the original Point. Use any number.
A'(3 , 3)/(A(1 , 1)) = 3
B'(6 , 3)/(B(2 , 1)) = 3
C'(3 , 6)/(C(1 , 2)) = 3
D'(6 , 6)/(D(2 , 2)) = 3
Your scale factor is 3.
~
Answer:
Part 1: The entry fee is $5
Part 2: Each minute costs 25 cents
Step-by-step explanation:
In the expression, the '+5' represents the fee added to '.25m' the cost per each minute.
Answer:
<em>20 sq yd</em>
Step-by-step explanation:
To find the total amount of sq yd's of paint needed, you have to find the area.
The area of a triangle is: A = 1/2 bh
We know:
b = base = 8
h = height = 5
Plug in and solve:
A = 1/2 (8) (5)
A = 1/2 (40)
A = 20