Answer:
x = 40
Step-by-step explanation:
The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:
Cross multiply
Subtract 24x from each side
Divide both sides by -15
x = 40
Answer:
1001
Step-by-step explanation:
$2200/month&£-£+£+£
Condense z₁ and z₂ into their exponential forms:
z₁ = 3 (cos(π/4) + i sin(π/4)) = 3 exp(i π/4)
z₂ = 7 (cos(3π/8) + i sin(3π/8)) = 7 exp(i 3π/8)
Then the quotient of z₁ and z₂ is
z₁ / z₂ = 3/7 exp(i (π/4 - 3π/8)) = 3/7 exp(-i π/8)
and in trigonometric form,
z₁ / z₂ = 3/7 (cos(-π/8) + i sin(-π/8))) … … … D
Answer:
Step-by-step explanation:
From inspection of the given diagram:
<h3><u>Part (a)</u></h3>
A right angle is 90° and is represented by the ∟ symbol.
To find x, <u>equal</u> the sum of the angles to 90° and solve for x:
<h3><u>Part (b)</u></h3>
To find the degree measure of each angle, substitute the found value of x into the expression for each angle.