So 2e:3t 3t+15=1e:3e so
2e:3t
3t+15
1e:3t
1e:3t=2e:6t
so 2e:6e
2e:3t+15=2e:6t
15=3t
t=5
2+3=5 units
5 times 5=25
he made 25 samiches in all
check
e:t=10:15=2:3
15+15=30
10:30=1:3
checks
he made 25 sammiches origonaly
Answer:
Hence, option D is correct (i.e. Distance is not preserved under dilation).
Step-by-step explanation:
<em>" A dilation is a transformation that produces an image that is the same shape as the original, but is a different size ".</em>
A) Angle measure:
Angle measures remains same as there is only a difference in their size the shape does not changes.
Hence angle measure is preserved.
B) Betweenness:
It is also preserved. since if any point in before dilation is between two points than after dilation it remain between them only.
C) Collinearity:
Points remain on the same line.
Hence, it is preserved.
D) Distance:
The distance is not preserved. since the length of the segment increase or decrease in dilation hence distance between two point also increase or decrease.
E) Proportionality:
In a dilation, the sides of the pre-image and the corresponding sides of the image are proportional. Hence it is also preserved.
Answer:
hold up this will take a min to work out
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
First find the height by use Pythagoras theorem on the right triangle:
h = sqrt (5^2 - 4^2)
= sqrt 9
= 3.
Volume of the prism = area of the triangle * length
= 1/2 * 3 * 4 * 10
= 1/2 * 12 * 10
= 60 cm^3.
Total area = area of 2 triangles + area 0f 3 rectangles
= 2 * 1/2 * 3 * 4 + 3 * 10 + 4 * 10 + 5 * 10
= 12 + 30 + 40 + 50
= 132 cm^2.