By changing the number into a decimal, and then moving the decimal twice to the right.
The value of x in the given expression can be either -41 or 45. The correct option is B.
<h3>What is Absolute Value?</h3>
An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.
Given the modulus function (1/5)|x - 4| - 3 = 6. Now, there will be two cases of this because the value of x can be either negative, x<0 or it can positive, x>0. Therefore, the given modulus function can be solved as shown below.
(1/5)(x-4) - 3 = 6
(x/5) - (4/5) - 3 = 6
(x - 4 - 15)/5 = 6
x - 4 -15 = 30
x = 30 + 15 + 4
x = 45
(1/5)(-x+4) - 3 = 6
(-x/5) + (4/5) - 3 = 6
(- x + 4 - 15)/5 = 6
- x + 4 -15 = 30
-x = 30 + 15 - 4
-x = 41
x = -41
Hence, the value of x in the given expression can be either -41 or 45.
Learn more about Absolute value here:
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Two polygons are congruent<span> if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the </span>congruent<span> figure on the right.</span>
Answer:
12.5 feet
Step-by-step explanation:
how to:
lets find the angle that corresponds with the 10 foot side.
to do that we add 50 degrees plus 90 degrees (right angle) to get 140 degrees.
as we know, a triangles angles will total 180 degrees, so 180 - 140 = 40 degrees for the angle corresponding to the 10 foot side.
put these into ratios:
<u>Angle A </u> = <u>Angle B</u>
side a side b
now plug in our numbers:
<u>50 degrees</u> = <u>40 degrees</u>
X 10 feet
Cross multiply:
50 (10 feet) = 40 (x)
solve for x:
500 = 40 (x)
500/40 = x
12.5 = x
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