Answer:
Cross multiplying fractions helps us to see if numbers are equal, and if not, which is bigger and which is smaller. But that is not its only use. Cross multiplying fractions can help us to solve for unknown variables in fractions.
Step-by-step explanation:
A dilated shape will either be enlarged or compressed.
<em>Allen did not make any mistake, and the scale factor is 3.</em>
The dimension of the smaller rectangle (figure Z) is:
3 units by 4 units
The corresponding dimension of the bigger rectangle (figure Z') is:
9 units by 12 units
The scale factor (k) is calculated by dividing the dimensions of Z' by Z.
So, we have:


or


Notice that both values of k are the same (i.e. 3)
This means that the scale factor is 3
Also figure Z and Z' share the same center of origin at point X
This means that the center of dilation from Z to Z' is X
Hence,
Allen made no mistake, and she is correct about the scale factor.
Read more about dilations at:
brainly.com/question/13176891
Answer:
95°
Step-by-step explanation:
(x+49)+(x+59)=180
2x+108=180
2x=72
x=36
36+59=95
Answer:
The volume of cylinder is calculated by:
V = base area x height = pi x radius^2 x height
=> 3617.28 = 3.14 x 12^2 x height
=> 3617.28 = 452.16 x height
=> height = 3617.28/452.16 = 8 (cm)
Hope this helps!
:)
X+y=43
x-y=19
2x=62
x=31
y=12
Hope this helps!