Answer:
45° and 135°
Step-by-step explanation:
let one angle be "x" and the other be "y"
Angles which are supplementary total to 180°. This can be represented with the equation:
x + y = 180
If angle "x" is a third of angle "y", the situation is represented with this equation:
(1/3)x = y
Since fractions are difficult to work with, multiply the whole equation by 3.
(1/3)x = y <= X 3
x = 3y
Use the equations x+y=180 and x=3y.
You can substitute x=3y into x+y=180.
x + y = 180
(3y) + y = 180 <=combine like terms
4y = 180 <=isolate y by dividing both sides by 4
y = 45
Substitute y=45 itno the equation x+y=180 to find x.
x + y = 180
x + 45 = 180 <=isolate x by subtracting 45 from both sides
x = 135
Therefore the angles are 45° and 135°.
Well you could multiply 432 by 0.75, or you can divide it by 4 and then multiply it by 3. Either way your answer is 324.
Rectangular form:
z = -2.1213203-2.1213203i
Angle notation (phasor):
z = 3 ∠ -135°
Polar form:
z = 3 × (cos (-135°) + i sin (-135°))
Exponential form:
z = 3 × ei (-0.75) = 3 × ei (-3π/4)
Polar coordinates:
r = |z| = 3 ... magnitude (modulus, absolute value)
θ = arg z = -2.3561945 rad = -135° = -0.75π = -3π/4 rad ... angle (argument or phase)
Cartesian coordinates:
Cartesian form of imaginary number: z = -2.1213203-2.1213203i
Real part: x = Re z = -2.121
Imaginary part: y = Im z = -2.12132034
Line plots are used to display data elements using markers
The total growth, in inches, of Isabella's plant is 
inches
<h3>How to determine the total growth</h3>
From the line plot, the total growth can be represented as:
Evaluate the products
Evaluate the sum
Evaluate the numerator
Evaluate the quotient
Hence, the total growth, in inches, of Isabella's plant is inches
Read more about line plots at:
brainly.com/question/15853311
Answer:
C)1/3
Step-by-step explanation:
So there are 18 marbles in all.So the denominator should we eighteen unless we can simplify it.There are 6 yellow marbles,so the numerator can be 6 unless simplified.In this case,the fraction is 6/18.We can simplify it.The GCF(greatest common denominator) is 6.That makes it 1/3.
