By solving a linear equation we will see that the value of x is 10.
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</h3><h3>How to find the value of x?</h3>
Remember that for any triangle, the sum of all internal angles is always equal to 180°.
Here only look at triangle BCD, we know that:
m∠DBC = m∠ABC = 3x
m∠BCD = m∠ACB + m∠ABD = 2x + 65°
m∠ADC = 65°
Now we can write the linear equation as:
3x + 2x + 65° + 65° = 180°
5x + 130° = 180°
5x = 180° - 130°
5x = 50°
x = 50°/5 = 10°
The value of x is 10.
Learn more about triangles:
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Answer:
Correct choice is B
Step-by-step explanation:
All given options represent quadratic function. Let the equation of this quadratic function be

Then
1. 
2. 
3. 
Solve the system of two equations:

Then

Thus, the equation of the function is

Note that


Answer:
B.The expanded form is (Two-fifths) (two-fifths) (two-fifths).
E.Two-fifths)cubed = StartFraction 8 Over 125 EndFraction
Answer:
4
Step-by-step explanation:
plug 1 into the equation and get
-2(1)^2 +2(1) +4
simplify
-2+2+4
add
4
Answer:
12/5
Step-by-step explanation:
Recall that trig function tan = opposite / adjacent
Find tan A
Opposite side of angle A = 24
Adjacent of A = 10
Tan (A) = 24/10
24/10 can be simplified to 12/5