Answer:
a) 115°
b) 140°
c) 75°
d) 255°
Step-by-step explanation:
a) another line parallel to AB through E will split x into two sectors.
Parallel lines intersected by a third line makes opposite internal angles of equal value. Supplemental angles add to 180°
x = (180 - 120) + (180 - 125) = 115°
b) double application of parallel lines intersected by a third line making corresponding angles identical.
c) more of the same
d) more of the same
Answer:
multiply 8 x 4=22
Step-by-step explanation:
Answer:
y = 1/4 x -3
Step-by-step explanation:
y = -4x + 3;
the slope of this equation is -4
we want the slope perpendicular to this
take the negative reciprocal
- (-1/4) = 1/4
so the slope of our line will be 1/4
we have the slope and a point so we can use point slope form
y-y1 = m (x-x1)
y--2 = 1/4(x-4)
y+2 = 1/4 (x-4)
we need to change it to slope intercept form (y=mx+b)
distribute
y+2 = 1/4 x -1/4*4
y+2 = 1/4x -1
subtract 2 from each side
y +2-2 = 1/4 x -1-2
y = 1/4 x -3
the slope is 1/4 and the y intercept is -3
Answer:
6s(5k+3)
Step-by-step explanation:
18s+30sk
Factor out 6.
6(3s+5sk)
Consider 3s+5sk. Factor out s.
s(3+5k)
Rewrite the complete factored expression.
6s(5k+3)
Answer: The required ratio will be

Step-by-step explanation:
Since we have given that
Ratio of AD to AB is 3:2
Length of AB = 30 inches
So, it becomes

So, Length of AD becomes

Now, at either end , there is a semicircle.
Radius of semicircle along AB is given by

So, Area of semicircle along AB and CD is given by

Radius of semicircle along AD is given by

Area of semicircle along AD and BC is given by

And the combined area of the semicircles is given by

Area of rectangle is given by

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

Hence, the required ratio will be
