Think it's no solution might be wrong though
Answer:
Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:
We use just the positive root, since we are looking for an actual length. then, the requested side is:
Answer:
x = 50
m∠D = 150°
m∠F = 30°
Step-by-step explanation:
- supplementary angles are two angles whose sum is 180°
∠D + ∠F = 180°
3x + x - 20 = 180
3x + x = 180 + 20
4x = 200
x = 200/4
x = 50
D = 3*50 = 150
∠D = 150°
F = 50 - 20 = 30
∠F = 30°
P(x) = 12x – 180
Given:
A company makes and sells charm bracelets.
The cost of producing x bracelets is represented by the function C(x) = 180 +
8x
The revenue earned from selling x bracelets is represented by the function
R(x) = 20x.
Explanation of terms:
For x bracelets,
Cost of production is C(x); C(x) = 180 + 8x
Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown
Profit made = Revenue earned – Cost of production
∴ P(x) = R(x) – C(x)
P(x) = 20x – (180 + 8x)
P(x) = 20x – 180 – 8x
P(x) = 12x – 180
The profit made from selling x bracelets is represented by the function
<em> P(x) = 12x – 180</em>
