The complement of an angle is 90 minus the angle, or
90 - x = complement angle
if x is 18 more than 3 times it's complement, then
x = 3(complement angle) + 18
We can substitute "90 - x" for the "complement angle" in the second equation:
x = 3(90 - x) + 18
distribute the 3 to the 90 and the x
x = 270 - 3x + 18
add 3x to both sides
4x = 270 - 18
4x = 252
x = 63
the measure of angle x is 63 degrees
Answer:
x = 12
Step-by-step explanation:
Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so
=
, substitute values
=
( cross- multiply )
55(12x - 3) = 6435 ( divide both sides by 55 )
12x - 3 = 117 ( add 3 to both sides )
12x = 120 ( divide both sides by 12 )
x = 10
It will take 22.5 min cause 25 divided by 100 wuld be 4 wich then divide 90 with
Considering the perimeter of the rectangle, we have that the length is of 9 inches and the width is of 55 inches.
<h3>What is the perimeter of a rectangle?</h3>
The perimeter of a rectangle of length l and width w is given as follows:
P = 2(l + w).
The length is an odd integer and the width is <u>5 times the next consecutive odd integer,</u> hence:
l = x, w = 5(x + 2).
The perimeter is of 128 inches, hence:
128 = 2l + 2w
128 = 2x + 10(x + 2)
128 = 2x + 10x + 20
12x = 108
x = 9.
Hence the length is of 9 inches and the width is of 55 inches.
More can be learned about the perimeter of a rectangle at brainly.com/question/10489198
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