Solution:
As given Square L M NO is dilated by a scale factor of two about the center of the square to create square L'M'N'O'.
Original line of Dilation = Along P Q
New Dilated line = P'Q'
As scale factor > 1
1. Image Size > Pre image size
2. The two images will be similar.
3. Length of Dilated Line P' Q' = 2 × Length of PQ
As you can see from the diagram drawn below, Dilated line P'Q' will contain the point P and Q.
All four points P,Q,Q',P' are collinear , lie in the same line.
Option (2) dilated line P'Q' will contain the points P and Q is true.
Answer:
p=65. the value of p is the amount of pencils packs.
Step-by-step explanation:
1.99p=129.35
129.35/1.99=65
Answer:
Each person will earn $16.
Step-by-step explanation:
Given that:
Amount of loss faced by the company = $144
Number of people who would share the amount = 9
Let,
x be the share of each person.
Number of people * Share per person = Total loss
9x = 144
Dividing both sides by 9
x = $16
Hence,
Each person will earn $16.
3a =18
3a/3 = 18/3
a = 18/3
a = 6
Hope this helps
Answer:x=-5 and x=3
Step-by-step explanation:
log(x^2-15)=log(2x)
Cancel log at both sides we get
x^2-15=2x
Collect like terms
x^2-2x-15=0
x^2-3x+5x-15=0
x(x-3)+5(x-3)=0
(x+5)(x-3)=0
x+5=0 x-3=0
x=-5 x=3
