<span>an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.</span>
To find the average, add up all the numbers, then divide that answer by the quantity of numbers.
STEP 1:
add all numbers
=30 + 20 + 0 + 0 + 0 + 0 + 120
=170 total
STEP 2:
divide total from step 1 by 7 (total quantity of numbers given, including zeros)
=170 ÷ 7
=24.2857
=24.3 rounded to nearest tenth
***You could also calculate the average by adding only non-zero results (20,30,120) and then dividing by 3 (the quantity of only non-zero numbers).
ANSWER: The average number of minutes studied per day is 24.3.
Hope this helps! :)
Step-by-step explanation:
let (5,-5) =(x1,y1)
from eqn y=3/2x+3
slope (m)=3/2
now,
eqn in slope intercept form is;
(y-y1)=m (x-x1)
- (y-5)=3/2 (x+5)
- 2 (y-5)=3 (x+5)
- 2y-10=3x+15
- 3x-2y+25=0 is required eqn
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.
