Answer:
31.25 minutes
Step-by-step explanation:
12.5 minutes divided by 2 (miles) = 1 mile per 6.25 minutes
6.25 x 5 = 31.25
Answer:
5 3/4
Step by step explanation:
Find a common denominator in this case is 4 so instead of adding 2 1/2 to 3 1/4 it’s going to be 3 1/4 + 2 2/4 which gets you 5 3/4
Answer:
14 and 16
Step-by-step explanation:
They are the ONLY consecutive even numbers
And also
x and (x+2)
x(x+2)=224 ( product of a number and the consecutive of that number)
x ²+ 2x-224=0
(x+16)(x-14) =0
x=-16 or 14
In this case 14 and (14+2) 14 and 16
The integers are either 14 and 16 or -14 and -16.
-1x=13+9y
(13+9y)+7y=-19
13+16y=-19
16y=-6
•Y=6/16
-1x-(9•6/16)=13
-1x-3.375=13
-1x=16.375
•X=-16.375
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.
