The solution of x in the given expression
is 4. However, if it is
, it is 6.
<h3>What is the solution to algebraic expression?</h3>
The solution to the given algebra expression involving surds can be seen in the steps below.
Given that:

Remove the square roots, we have:
12x - 32 = 4x² - 48x + 144
Solving the quadratic equation at the RHS and equating it to LHS, we have:
x = 11, x = 4
Verifying the solutions by replacing the value of x with the given equation:
Therefore, we can conclude that the value of x = 4
NOTE:
Given that:

Square both sides
3x - 7 = x +5
Solve for x
3x - x = 5 + 7
2x = 12
x = 6
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Answer:
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Answer:
D) Angle DAC is congruent to Angle BAC
Step-by-step explanation:
Given:
The triangles ABC and ADC are congruent by SAS postulate.
SAS postulate means two corresponding sides are congruent to each other and the included pair of angles are also congruent to each other.
From the figure, consider the triangles ABC and ADC.
AB = AD (Given)
AC = AC ( Reflexive property. Side AC is a common side to both triangles)
Now, the pair of angles included between these two pair of sides are angle BAC and angle DAC.
So, in order to prove the two triangles congruent by SAS postulate, we need to prove angle DAC congruent to angle BAC. Therefore, the correct option is option D.
Answer:
1024
Step-by-step explanation:
you can plug 10 to the explicit formula. f(n)= a times r to the power of n minus 1. A is the first term, r is the common ratio and n is the nth term. 2 times 2 to the power of 10 minus 1. 2 times 2 to the power of 9 is 1024. Hope this helps!
Answer:
10 feet.
Step-by-step explanation:
First time: 160/2=80.
Second time: 80/2=40.
Third time: 40/2=20.
Fourth time: 20/2=10.
Boom.