Area of parallelogram = base x height
= 12 x 9
= 108
Area of a triangle =
· base · height
108 =
· 36 · height
108 = 18 · height
6 = height
Answer: 6 cm
Answer:
59.357
Step-by-step explanation:
Ft= αAt-1+ (1-α)Ft-1
Let's take F1=56
F2=0.9(56)+(1-0.9)(56)
F2=56
F3=0.9(59)+(1-0.9)(56)
= 58.7
F4=0.9(53) + (1-0.9)(58.7)
F4=53.57
F5= 0.9(60) + (1-0.9)(53.57)
F5=59.357
Answer:
First: 15
Second: 21
Third: 45
Step-by-step explanation:
In order to create the equation we need to represent the evenings with an alebraic term, in thsi case we are going to represent the second evening with an X
Second evening:x
The first night she got 6 fewer calls than the second: Second-6=x-6
The third night she received 3 times the first: 3(first night)=3(x-6)
The equation is First Night plus second night plus third night equals 81.

So the first evening he received 15 calls, the second he received 21 and the third one he received 45.
Solution: The dilation of gk by a scale factor of 2 centered at (-2,-4) is
and
.
Explanation:
It is given that the scale factor is 2 and center of dilation is (-2,-4).
If the center of dilation is (a,b) with scale factor k, then the dilation of a point P(x,y) is determined by the given formula.
.....(1)
To find the g' substitute x=0, y=0, a=-2, b=-4 and k=2 in equation (1).

To find the k' substitute x=4, y=4, a=-2, b=-4 and k=2 in equation (1).

Therefore, the dilation of gk by a scale factor of 2 centered at (-2,-4) is
and
.
Answer:
need a pic
Step-by-step explanation: