Answer:
m∠APC = 30°
Step-by-step explanation:
To solve for the above question, we would be making use of circle theorems
Looking at the circle, we can see that
m∠APC is an Angle outside the circle
m∠AOC is a smaller arc in the circle.
Therefore, Circle Theorem states that for a circle with two tangents,
The Angle outside the circle + The smaller arc = 180°
Hence,
m∠AOC + m∠APC = 180°
m∠APC = 180° - m∠AOC
m∠APC = 180° - 150°
m∠APC = 30°
Answer:
3
Step-by-step explanation:
subtract 1 from 13 divide the number by 4
Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Step-by-step explanation:
The equation
can be solved by squaring both sides:

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

The square root of 49 equals 7, but the square root of -1 is an imaginary number.
The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Answer: √y
<u>Step-by-step explanation:</u>
![\sqrt[6]{y^3}=y^{\frac{3}{6}}=y^{\frac{1}{2}}=\boxed{\sqrt y}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7By%5E3%7D%3Dy%5E%7B%5Cfrac%7B3%7D%7B6%7D%7D%3Dy%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cboxed%7B%5Csqrt%20y%7D)
Answer:
$1.25.
Step-by-step explanation:
We have been given that at a football game Jasmine bought a soft pretzel for $2.25 in a bottle of water for $1.50 she paid with a $5 bill.
First of all let us find how much Jasmine spent on soft pretzel and water bottle by adding the cost of both items.


To find the amount that Jasmine will get as a change we will subtract the amount spent on both items from 5.

Therefore, Jasmine will get $1.25 back as change.