I believe they are congruent.
a. The table represents a proportional relationship
b. The constant of proportionality is 5/6
<h3 /><h3 /><h3>Proportional relationship:</h3>
Proportional relationship are relationship between variable where their ratios are equivalent. The variables in our case are total weight(pounds) and number of books.
Therefore, let's check if the table represent a proportional relationship.
let
total weight = x
number of book = y
k = constant of proportionality
y = kx
10 = k12
k = 10 / 12 = 5 / 6
y = kx
15 = 18k
k = 15 / 18
k = 5 / 6
y = kx
25 = 30k
k = 25 / 30
k = 5 / 6
y = kx
50 = k60
k = 50/60 = 5 / 6
The constant of proportionality is the same. Therefore, the table represents a proportional relationship
The constant of proportionality(k) is 5/6.
learn more on proportional relationship: brainly.com/question/19543047?referrer=searchResults
The Cartesian coordinates of the first vector are
20(cos(30°), sin(30°))
After the vector is multiplied by 2∠110°, its Cartesian coordinates are
40(cos(140°), sin(140°))
The x-component is larger than it was, but in the opposite direction. The percentage increase in the magnitude of the x-component is
x-change = (|40cos(140°)/(20cos(30°))| - 1)×100%
x-change ≈ 76.9%
The y-component is also larger than it was, but still in the +y direction. The percentage change in the magnitude of the y-component is
y-change = (|40sin(140°)/(20sin(30°))| -1)×100%
y-change ≈ 157.1%
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7/8 + 1/4 can be written as
7/8 + 2/8
making the answer 9/8 or 1 1/8