About 400 marbles. You simply set up a proportion and solve it as I did in the photo attached.
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.
Calculating the unit rate is not that problematic if you can understand the requirement. Using the details given the answer to the question can be easily determined.
Number of miles that it goes in 22 gallons = 346
Then
Number of miles that it goes in 1 gallon = (346/22) miles
= 15.73 miles
So
The unit rate to this equation is 15.73 miles per gallon. I hope the procedure is clear enough for you to understand.You can always use this procedure for solving similar problems in future.
Answer:
(3, - 5 )
Step-by-step explanation:
Under a clockwise rotation about the origin of 270°
a point (x, y ) → (- y, x ), hence
Z(5, - 3 ) → Z'(3, - 5 )
To find how munch wrapping paper you will need to cover the box you will have to find the area. The formula for area is length multiplied by the width. The length in this equation is 10 inches and the width is 8 inches and 8 multiplied by 10 is 80 so you will need 80 INCHES OF wrapping PAPER to cover the box.