Complete Question
The complete question is shown on the first uploaded image
Answer:
The value of
The value of
Step-by-step explanation:
Generally the total angle that make up a circle is
From the diagram we see that
=>
Generally angle that is formed as a result of interception of a chord and a tangent is equal to the intercepted arc divided by 2
This implies that
substituting values
Answer:
Option B
Step-by-step explanation:
we have
we know that
<u>The vertical line test </u>is a visual way to determine if a curve is a function or not. A function can only have one value of y for each unique value of x
In this problem
The given function passes the vertical line test
therefore
f(x) is a function
<u>The Horizontal Line Test</u> is a test use to determine if a function is one-to-one
If a horizontal line intersects a function's graph more than once, then the function is not one-to-one.
In this problem
The given function fails the horizontal line test
because for f(x)=0 x=-3, x=-1, x=3
therefore
It is no a one-to-one function
Since we’ve been given a ratio, 3:8, we can convert that into a fraction and form an equation from it:
=
The reason the numerator on the second fraction is 27/3 is because the team scored 27 points, not 27 baskets.
Simplify (Also replace the ? with an unknown variable):
=
Cross multiply:
3*n = 9*8
Simplify:
3n = 72
Divide both sides by 3:
n = 24
The team had 33 three point tries, 9 successes, and 24 fails.
-T.B.
See the attached figure.
m ∠KAJ = 170° & m ∠LAM = 80°
We should know that :
m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°
∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)
∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°
But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>
∴ m ∠MAJ + m ∠MAJ = 110°
∴ 2 * m ∠MAJ = 110°
∴ m ∠MAJ = 110° ÷ 2 = 55°
<u>So, the answer is : m ∠MAJ = 55°</u>
