Answer:
1. x = 21
2. m∡ABC = 51°
Step-by-step explanation:
First problem, solve for x
the sum of inside angles of a triangle is 180
also the supplementary angle for L = 180 - 100 is 80°
now you can add all angles
80 + 2x - 11 + 2x + 27 = 180
4x + 96 = 180
4x = 84
x = 21
Second problem, solve for m∡ABC
the sum of inside angles of a triangle is 180
also the supplementary angle for C = 180 - 148 is 32°
now you can add all angles
31 + 2x - 15 + x - 5 = 180
3x + 12 = 180
3x = 168
x= 56,
now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°
D
The domain is the x values, so the right side of the circle are the x’s.
Answer:
X = 90 degrees
Y = 40 degrees
Z = 50 degrees
Step-by-step explanation:
We have
f(x) = a(x – h)²<span> + k
we know the vertex v(5,3)
</span><span>substitute in the values for h and k
</span>f(x) = a(x – 5)²<span> + 3
</span><span>Use another point and substitute in values for x and f(x).
for the point (6,5)
</span><span>Solve for a.
5 = a(6 – 5)2 + 3-------------- > 5=a+3-------------> a=2
</span>
The function is f(x)=a(x – h)2 + k-------- > 2(x – 5)² + 3
f(x)= 2(x – 5)² + 3-------- > 2[x²-10x+25]+3=2x²-20x+50+3=2x²-20x+53
f(x)=2x²-20x+53
<span>
the answer is f(x)=</span> 2(x – 5)² + 3----------------- > (f(x)=2x²-20x+53)<span>
</span>
$116.02 interest will be earned in 9 months
Step-by-step explanation:
The formula for simple interest is given by:

Here
P is the initial amount
r is the interest
t is the time measured in years
Given
P = $2475
r = 6.25% = 
t = 9 months
Converting time into year by dividing by 12

Putting the values in the formula

Rounding off to nearest hundredth
I = $116.02
Hence,
$116.02 interest will be earned in 9 months
Keywords: Interest, simple interest
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