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:
<h3>n = -8</h3>
Step-by-step explanation:
For two lines to be parallel, they must have the same slope
Get the slope of each line
For L1;
m1 = -2-4/1-n
m1 = -6/1-n
For L2;
m2 = 5-3/1-4
m2 = 2/-3
m2 = -2/3
Since they have the same slope, m1 = m2
-6/1-n = -2/3
6/1-n = 2/3
Cross multiply
2(1-n) = 6(3)
2-2n = 18
-2n = 18 - 2
-2n = 16
n = -16/2
n = -8
Hence the value of n is -8
5y=15-3x
y=3-3/5x
hope it helps:):)
Answer:
40 ounces
Step-by-step explanation:
a pound is 16 ounces so 2 and a half is 40 ounces
The population size after 6 years and after 8 years are 147 and 169 population respectively
<h3>Exponential functions</h3>
The standard exponential function is expressed as y = ab^x
where
a is the base
x is the exponent
Given the function that represents the population size P (t) of the species as shown;
For the population size after 6 years
For the population after 8 years
Hence the population size after 6 years and after 8 years are 147 and 169 population respectively
Learn more on exponential function here: brainly.com/question/2456547
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