For each of the problems, twice the angle formed by the chords is equal to half the sum of the angles of the arcs.
So, for the first problem, we have
, so
.
For the second,
, so
.
For the last problem,
, so
.
Feel free to comment below if you have any questions!
Answer and Step-by-step explanation:
Since we know that lines <em>l</em> and <em>m</em> are parallel (we are just proving that they are parallel), we can see that the two angles given are corresponding angles, so they are congruent to each other.
123 = 2x + 7
<u>Subtract 7 from both sides.</u>
116 = 2x
<u>Now, divide both sides by 2.</u>
58 = x
<u>So, the value of x is 58.</u>
<u></u>
<u></u>
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
a = 
Step-by-step explanation:
Given:
f(x) = log(x)
and,
f(kaa) = kf(a)
now applying the given function, we get
⇒ log(kaa) = k × log(a)
or
⇒ log(ka²) = k × log(a)
Now, we know the property of the log function that
log(AB) = log(A) + log(B)
and,
log(Aᵇ) = b × log(A)
Thus,
⇒ log(k) + log(a²) = k × log(a) (using log(AB) = log(A) + log(B) )
or
⇒ log(k) + 2log(a) = k × log(a) (using log(Aᵇ) = b × log(A) )
or
⇒ k × log(a) - 2log(a) = log(k)
or
⇒ log(a) × (k - 2) = log(k)
or
⇒ log(a) = (k - 2)⁻¹ × log(k)
or
⇒ log(a) = 
(using log(Aᵇ) = b × log(A) )
taking anti-log both sides
⇒ a =
The fraction is 2/6
This is because there are 6 total sections in the shape (6 becomes denominator) and 2 colored in sections (2 becomes the numerator)
Answer:
that is a lot
Step-by-step explanation:
