We know that AB is perpendicular to CD. (that was given)
Perpendicular angles are 90 degrees because two straight lines (180) crossed make 4 90 degree angles.
180+180=360
90*4=360 See the similarities?
7x+6= 90 degrees
Subtract 6 on both sides.
7x=84
Divide both sides by 7.
x=12
"B" is the correct answer.
I hope this helps!
~kaikers
Considering the given graph, it is found that the numeric value of the function r(x) at x = -3 is of 2.
<h3>How to find the numeric value of a function given it's graph?</h3>
The numeric value of a function is the value of y for the given value of x, hence, we have to look at the value of x on the horizontal axis, and verify the equivalent value of y on the vertical axis.
In this problem, when the horizontal axis is of x = -3, the vertical axis is of y = 2, hence the numeric value of the function r(x) at x = -3 is of 2.
More can be learned about the numeric value of a function at brainly.com/question/14556096
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Measure of Hypotaneous = 5√5
And it's already given that b = 2a
By using pythagoras theorem:
a²+ b² = (5√5)²
Let's substitute for b as 2a in above equation we'll get:
a² + (2a)² = (5√5)²
a² + 4a² = 125
5a² = 125
a² = 25
a = √25 = 5
Therefore,
a= 5
and
b = 2a = 2(5) = 10.