Answer:
Step-by-step explanation:
so we see the two line of the same length of 14, which tells us that the lengths of 5x and 7x-8 have to be the same length. so we know we can set them equal to each other. Often times that's the key to math problems , finding where you can set things equal.
5x = 7x-8 ( subtract 5x from both sides and then add 8 to both sides )
8 = 2x ( divide both sides by 2 )
4 = x
nice this looks right too , both sides add to 20 :)
Answer:
6
Step-by-step explanation:
We have y ∝ x which is another way of saying y varies directly with x
We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality
So y = kx or x = y/k
using y and x values know, we can solve for k and then solve for any x given y
We have
y = 37.4 = k (17)
Therefore k = (37.4/17) = 2.2
To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 = 6
Answer:
A) A dilation by a scale factor of 2, centered at the origin, followed by a 180° clockwise rotation about the origin.
Step-by-step explanation:
a dilation by a scale factor of 2, centered at the origin will double its size and move point A from (-2,2) to (-4,4). Then the clockwise rotation of 180° degrees will rotate the figure so that it's point A (now called point D) will be at (4,-4).
Answer:
12sweet
Alex's ratio=3
Thomas' ratio =2
I.e 3+2=5
Sweet=30
Thomas' share=2/5*30
=12
I.e Thomas' share is equal to 12 sweets
The graph is attached. :D
Hope I helped you! The graph calculator is desmos. You can use it for these types of questions.
Stay safe and God bless!
- eli <3