Answer:
The linear speed is 
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the linear speed in feet per minute
we know that
The wheel is rotating at 10 revolutions per minute
Convert revolutions to feet
Remember that
One revolution is equal to the circumference of the circle
so
10 revolutions is equal to
therefore
The linear speed is
Answer:
The choose B. x = 7 , x = – 15
(x+4)-5=6
x +4-5=6 —> x=6-4+5 —> x= 7
– (x+4)-5=6 —> -x -4-5=6—> x = -4 -5 -6 —> x = – 15
I hope I helped you^_^
Parallel lines share the same slope, so the slope of the parallel line in this case must be 
.
Point-slope form is 
, where 
is the slope and 
is any known point on the line.
Plug in the values. 
Simplify and distribute. 
Subtract 1 from both sides. 
1) The triangles are similar, so correponding sides have the same ratio.
.. 3x/20 = (4x +2)/28
.. 3x/5 = (4x +2)/7 . . . . . . . multiply by 4
.. 7*3x = 5(4x +2) . . . . . . . multiply by 35 = 5*7
.. 21x = 20x +10 . . . . . . . . eliminate parentheses
.. x = 10 . . . . . . . . . . . . . . . subtract 20x
2) The triangles are similar, so corresponding measures have the same ratio.
.. x/42 = 10/15
.. x = 42*(10/15) = 28
3) The third angle of triangle ABC is 180° -20° -80° = 80°. Then two of the angles of ABC match those of JKL. The 3rd answer selection is appropriate.
Answer:
Step-by-step explanation:
Product of a number and its multiplicative inverse should be equal to 1.
So,
