Answer:
The answer in the procedure
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding interior angles are congruent
so
substitute the values
-----> is true
Therefore
JK is parallel to MN
Triangles OMN and OJK are similar by AA Similarity Postulate ( The three interior angles are congruent)
Because
m<OKJ=m<ONM ----> by corresponding angles
m<KJO=m<NMO -----> by corresponding angles
m<JOK=m<MON -----> is the same angle
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
The sum of the given angle expressions is 90°, the measure of the right angle:
x + (3x +10) = 90
4x = 80 . . . . . . . . . subtract 10
x = 20 . . . . . . . . . . divide by 4
Answer:
They are essentially the same.
Step-by-step explanation:
A mixed number can be written as an improper fraction.
Answer:
<h2>
f⁻¹(x) = ∛(x+1)</h2>
Step-by-step explanation:
Given the encoded message defined by the function f(x) = x³-1, the inverse function that the decoder would need when the message is received can be expressed as thus:
let the inverse of the function be represented as y such that y = x³-1.
Making x the subject of the formula from the equation above;
x³ = y+1
Taking the cube root of both sides:
∛x³ = ∛(y+1)
x = ∛(y+1)
replacing y with x:
y = ∛(x+1)
f⁻¹(x) = ∛(x+1)
The encoded message is the inverse function ∛(x+1)
