Answer:
128°
Step-by-step explanation:
<u>The measure of an inscribed angle is half the measure of the intercepted arc.</u> That means that the intercepted arc is two times the inscribed angle.
Measure of the inscribed angle DEF is 64°, that means that the measure of the intercepted arc DF is 2×64°, which is 128°.
Answer:
Answer: Sum of first 90 terms is Option d. 11655
Step-by-step explanation:
We have to find the sum of first 90 terms of the sequence -4,-1,2,5,8......
First we find the 90th term of the sequence
As we know the formula A(n)= A(1)+(n-1)d
Given from the sequence
A(1) = (-4)
n=90
d = 3
So A(n) = -4+(90-1)3
= (-4)+89×3
= 263
Now we know formula for the sum of any sequence is
Sum S(n) =
Now we know n= 90
A(1) = -4
A(n) =263
Now we put the value in the formula
S(n)=
= 45×259
= 11655
we have
Equate the expression to zero to find the roots
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
square roots both sides
the roots are
so
therefore
<u>the answer is the option</u>