The slope of the red line that is perpendicular to the green line is: -5/2.
<h3>What are the Slope Values of Perpendicular Lines?</h3>
When one line lies perpendicular to another line, the slope of one must be the negative reciprocal of the other line.
<h3>What is the Negative Reciprocal of a Number?</h3>
If given a number, i.e. a/b, the negative reciprocal of a/b would the opposite value of the reciprocal of a/b.
Reciprocal of a/b is b/a. Negative reciprocal of a/b would therefore be: -b/a.
Given that the slope of the green line is: 2/5. And it is perpendicular to the red line. The slope of the red line would be the negative reciprocal of 2/5.
Negative reciprocal of 2/5 is -5/2.
Therefore, the slope of the red line is: -5/2.
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Let's call the angles x and y. We know that supplementary angles must add to 180 degrees, so x+y=180.
Furthermore, we know that x is 75% more than 2y. We can write "75% more than" numerically as 1.75, so x = 1.75(2y).
We can simplify the second equation by multiplying 1.75 and 2 together to get x = 3.5y.
Now we can solve the system of equations by substitution by plugging 3.5y in for x in x+y=180.
(3.5y) + y = 180
Combine like terms.
4.5y = 180
Divide by 4.5
y = 40
Plug y = 40 in and solve for x.
x + 40 = 180
x = 140
The answer is 40 and 140. Hope this helps :)
The answer is x= -17
hope this helps
Answer:
or ≈6.59
Step-by-step explanation:
We can first begin by simplifying each of the numbers with exponents. Recall that in a fraction exponent, the numerator is the power, while the denominator is the root.
Take
for example. The '2' in the fraction means we must take the square of 25. √25 = 5.
The '3' in the fraction means we take the power, which means we must cube '5'.
5³ = 125. Therefore,
= 125. Use this process for the other numbers:
The new fraction would look like:
Which simplifies to:
or ≈6.59
Answer: B. 431.59
Step-by-step explanation:
1.6*12 =19
90*2 = 180
circle area = pier^2
127.25 for upper and 88.35 for lower
triangle is just the square / 2
i rounded so my answer is not exact but b should be correct