Answer:
<B = 15
Step-by-step explanation:
A triangle adds up to 180 degrees.
Since these triangles are similar, the sides are located in the same spot. (A is in same spot as D, etc.)
A=75
F=90
75 + 90 + x = 180
165 + x = 180
x = 15
Answer:
or
Step-by-step explanation:
step 1
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are the same
we have

therefore
The slope m of the line parallel to the given line is

step 2
Find the equation of the line in point slope form

we have


substitute
----> equation of the line in point slope form
step 3
Find the equation of the line in slope intercept form

we have
Isolate the variable y
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If you are implying that the triangles are similar, then the short and long legs are in proportion:

Solving for x, you have

The slope of the line parallel to the line –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.
<h3>What is the slope?</h3>
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

It is given that:
The equation of the line:
–x + 3y = 6
Write the equation in standard form:
y = x/3 + 6/3
y = x/3 + 2
m = 1/3
The slope of the line parallel to the line –x + 3y = 6
M = 1/3
Thus, the slope of the line parallel to the line –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.
Learn more about the slope here:
brainly.com/question/3605446
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