Answer:
Two figures are similar if and only if one figure can be obtained from the other by a single transformation , or a sequence of transformations, including translations, reflections, rotations and/or dilations. Similarity transformations preserve shape, but not necessarily size, making the figures "similar".
Step-by-step explanation:
similar figures: Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
sequence of transformation: When two or more transformations are combined to form a new transformation, the result is called a sequence of transformations, or a composition of transformations. Remember, that in a composition, one transformation produces an image upon which the other transformation is then performed.
Answer:
Step-by-step explanation:
h = 4 m
d = 12 m
r = 12/2 = 6 m
Volume of cylinder = πr²h
= 3.14 * 6 * 6 * 4
= 452.16 m³
Hello!
Say that n is the number. There are two parts to this statement. The first part is "four less than three times a number", and the second is "is three more than two times the number. An expression fitting the first part will go on the left side of the equation, and the second part will go on the right.
Look at the first part. "Four less than three times a number". The first thing being done here is the <u>three times a number.</u> This would be 3n, as it is 3 times n. Now, there is the <u>four less</u> part. You would therefore have to subtract 4 from 3n, to get 3n - 4.
Now the second part. "Is three more than two times the number". The first thing being done here is the <u>two times the number</u>. That would be 2n. The next is "is three more than". If the other side is three more than 2n, then you must add 3 to 2n to make them equivalent. Therefore, it would be 2n + 3.
Now, set them equal to each other, and solve.
3n - 4 = 2n + 3
3n - 2n = 3 + 4
n = 7
Therefore, your number is 7.
Hope this helps!
Answer:
m = 8
Step-by-step explanation:
-3m - 4 = -28
+4 +4
-3m = -24
÷-3 ÷-3
m = 8
