Answer:
75°
Step-by-step explanation:
∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...
∠ESK = ∠ESD + ∠DSK
you have ...
100° = 25° + ∠DSK . . . . fill in known values
75° = ∠DSK . . . . . . . . . . subtract 25°
_____
Regarding opposite angles of an inscribed quadrilateral
Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.
This is why we can say ∠ESK is the supplement of ∠EDK.
The answer would be 12.99% and $187,000.
Solution:
(1.031^4(15) = ( 1+r)^15
60 log 1.031 = 15 log (1 + r)
4log (1.031) = log ( 1 + r)
10^[4log(1.031)] = r + 1
10^[4log (1.031) ] - 1 =
r = 0.1299
= about 12.99%
Point-slope form : y-y₁=m(x-x₁)
Perpendicular to the given line, and passes through (-4, -3)
Given line slope : -4
How we found slope : I found 2 exact points, and found the slope by doing the slope formula (y₂-y₁/x₂-x₁)
m = slope
However, when a line is perpendicular, we must find the negative reciprocal of our slope.
Slope₁ = -4
Slope ₂ = 1/4
Simply plug everything in.
y - y₁ = m(x - x₁)
y + 3 = 1/4(x +4)
~Hope I helped!~
Answer:
the mode is 76, the median is 83, and the mean is 85.2
Step-by-step explanation:
Mode is the number which appears most often in a set of numbers.
To find the Median, place the numbers in value order and find the middle number.
To find mean add up all the numbers, then divide by how many numbers there are