Question..
Combine like terms to create an equivalent expression.
½ −⅙q +⅚q - ⅓
Answer:
½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙
Step-by-step explanation:
Given
½ −⅙q +⅚q - ⅓
Required
Equivalence
½ −⅙q +⅚q - ⅓
We start by collecting like terms.
⅚q - ⅙q + ½ - ⅓
Factorize
(⅚ - ⅙)q + ½ - ⅓
((5 - 1)/6)q + ½ - ⅓
(4/6)q + ½ - ⅓
Reduce 4/6 to lowest term
⅔q + ½ - ⅓
Evaluate fraction
⅔q + (3 - 2)/6
⅔q + ⅙
Hence, ½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙
A dilation is a transformation that changes the size but not the shape of a figure. Therefore, the image created by the dilation is not congruent to the pre-image, the original figure; it is similar. Each point of the image is distinguished from those of the pre-image by using a prime symbol.
Answer:
90
Step-by-step explanation:
Given:
The bases of trapezoid measuring 4 m and 12 m.
To find:
The median of the trapezoid.
Solution:
The median of the trapezoid is the average of its bases.
The bases of trapezoid measuring 4 m and 12 m. So, the median of the trapezoid is:
Therefore, the correct option is C.
