Answer:
B because it is the segments are switched
Answer:
If EFGH is an isosceles trapezoid,
if
EH=4x-27+
FG=x%2B9+
EG=3y%2B19
FH=11y-21
then EH=FG and EG=FH
set up equations:
4x-27=x%2B9 .......solve for x
4x-x=27%2B9
3x=36
x=36%2F3
3y%2B19=11y-21.......solve for y
11%2B19=11y-3y
30=8y
y=30%2F8
y=15%2F4
y=3.75
so,x=12 and y=3.75
you can also check the length of equal sides and equal diagonals:
EH=4%2A12-27+=21
FG=12%2B9+=21
EG=3%283.75%29%2B19=30.25
FH=11%283.75%29-21=30.25x=12
Step-by-step explanation:
The length of the arc is 31.92 units
Explanation:
Given that the sector of a circle of radius 6 units.
The angle is given by
<u>Arc length of the circle:</u>
The arc length of the circle can be determined using the formula,
where r = 6 and
Substituting the values, we have,
Multiplying the numerator, we have,
Substituting , we have,
Multiplying the terms, we get,
Dividing, we get,
Thus, the arc length of the circle is 31.92 units
Answer:
21060
Step-by-step explanation:
Breaking down the summation into its component parts. noting
∑ 1 = n
∑n = n (n + 1), thus
∑(3n - 6) for n = 1 to n = 120
= 3∑n - 6∑1
= 3 × × 120 × 121 - 6 × 120
= 21780 - 720
= 21060
Answer:
81, -27
Step-by-step explanation:
(-9)^2 = (-9)(-9) = 81
(-3)^3 = (-3)(-3)(-3) = -27