Answer:
-16
Step-by-step explanation:
m^2 + n^2
-5^2 + 3^2 = -16
Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
<h3>What is the Inscribed Angle Theorem?</h3>
Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
Learn more about the inscribed angle theorem on:
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Answer:
Last option: 4
Step-by-step explanation:
The quadratic equation simplified: 
has the form:
In this case, you can identify that "a", "b" and "c" are:
To solve this quadratic equation by completing the square, Carlos should add 
to both sides of the equation. This is:
Then:
Therefore you can observe that the number he should add to both sides of the equation is: 4
Step-by-step explanation:
ATQ,
Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.
She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.
So,
m = 2d .....(1)
m + d = 120 ...(2)
We can also solve the above equations,
Put m = 2d in equation (2)
2d + d = 120
3d=120
d = 40
Put d = 40 in equation (1)
m = 2(40)
m = 80
Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.
10% off
= $4.80
30% off
= $4.80 x 3
= $14.40
$48 + $14.40
= $62.40
The original price was $62.40
