Problem 44
The term "bisect" means "cut in half".
Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.
angle ABD = angle DBC
x+15 = 4x-45
15+45 = 4x-x
60 = 3x
3x = 60
x = 60/3
x = 20
<h3>Answer: x = 20</h3>
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Problem 45
We use the same idea as the previous problem
angle ABD = angle DBC
2x+35 = 5x-22
35+22 = 5x-2x
57 = 3x
3x = 57
x = 57/3
x = 19
<h3>Answer: x = 19</h3>
The denominator of a fraction is 1 more than 3 times the numerator. If the denominator is doubled and the numerator is increased by 2, the value of the resulting fraction is 1/4. Find the original fraction.
Answer:
y = 80
Step-by-step explanation:
the angles of a triangle = 180. the top angle is 80 and the bottom is 20. 180 - 20 - 80 = 80
The median is the value equivalent to the vertical line as shown. Hence the median point is 34
<h3>What is a median?</h3>
The median is defined as the value at the middle after rearrangement.
From the given boxplot, we have the following
The minimum value is equivalent to the lower position of the whisker = 22
The maximum value is equivalent to the upper position of the whisker = 42
The median is the value vertical line in between the box = 34
The lower quartile (Q1) = starting point of the box = 33
Upper quartile (Q3) = end point of the box = 38
For the boxplot, the median is the value equivalent to the vertical line as shown. Hence the median point is 34
Learn more on boxplot here: brainly.com/question/12992903?referrer=searchResults
Answer:
The equation is exact
F(x,y) = 3x4/4 - 3xy -y2
Step-by-step explanation:
The step by step explanation and to ascertain the exactness of the differential equation is as shown in the attached file.