Applying the alternate interior angles theorem, the value of x is: D. 8.
<h3>What is the Alternate Interior Angles Theorem?</h3>
The alternate interior angles theorem states that interior angles that are alternate to each other along a transversal have equal measurement.
∠4 and ∠6 are alternate interior angles, therefore:
m∠4 = m∠6
Substitute
4x - 2 = 2x + 14
4x - 2x = 2 + 14
2x = 16
x = 16/2
x = 8 (option D).
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Answer:
4
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
So
4(x-1) = x +8
4x-4=x+8
3x=12
x=4
Same result obtained when comparing the other pairs of equations.
108=103e^(5k)
108/103=e^(5k) take the natural log of both sides
ln(108/103)=5k
k=ln(108/103)/5
k≈0.00948
P=103e^(12*0.00948)
P≈115 million (to nearest million)
Answer:
the answer is 12
Step-by-step explanation:
Answer:
$9
Step-by-step explanation:
The linear system is going to be:
16m + 13s + 29c = $419
26m + 19s + 45c = $649
6m + 11s + 0c = $96
I don't really know why it is bringing up the determinant, all you need to do is put this into reduced row echelon form. I personally used a calculator for this, but it could be done painstakingly by hand.
RREF gives me:
m=5
s=6
c=9
So a chocolate milkshake is $9