The value of x that completes the conditional relative frequency table by column is 0.85
<h3>How to determine the value of x?</h3>
From the complete question, we have the following column elements
0.15 x 1
Express a sum
0.15 + x = 1
Subtract 0.15 from both sides
x = 0.85
Hence, the value of x that completes the conditional relative frequency table by column is 0.85
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<em>Find Slope:</em>
y = -x + 3
slope = -1
Perpendicular slope = 1
<em>Sub Slope into Equation </em>
y = mx + c
Found that m = 1 (slope = 1)
y = x + c
<em>Find C</em>
At (-1,3)
3 = (-1) + c
c = 3 + 1
c = 4
<em>Sub C into the equation </em>
y = x + 4
Answer:
The value of mHLK will be "(204)°".
Step-by-step explanation:
The given values are:
mJI = (3x+2)°
mHLK = (15x-36)°
and,
m∠HML = (8x-1)°
then,
mHLK = ?
Now,
By using chord-chord formula of angle, we get

On putting the values in the above formula, we get
⇒ 
On applying cross-multiplication, we get
⇒ 
⇒ 
On subtracting "18x" from both sides, we get
⇒ 
⇒ 
On adding "2" both sides, we get
⇒ 
⇒ 
⇒ 
⇒ 
On putting the value of "x" in mHLK = (15x-36)°, we get
⇒ (15x-36)° = (15×16-36)°
⇒ = (240-36)°
⇒ = (204)°
So that mHLK = (204)°
The factors of 189 are: 1, 3, 7, 9, 21, 27, 63, 189.
1 × 189 = 189
3 × 63 = 189
7 × 27 = 189
9 × 21 - 189