Answer:
81
Step-by-step explanation:
divide 405 by 5 to get the number of rotations per minute.
Answer:
∠GHE = 55°
Step-by-step explanation:
ABCD is a quadrilateral (4 sided figure). We know that the sum of the interior angles (4 angles) of a quadrilateral in 360°.
Thus, A + B + C + D = 360
<em>we know b = c = 90 and a = 125, thus we can find D.</em>
<em>125 + 90 + 90 + D = 360</em>
305 + D = 360
D = 360 - 305 = 55°
<u>Note:</u> since Quadrilateral ABCD is congruent to Quadrilateral EFGH, then the measure of D is equal to measure of H (Angle GHE). Thus
∠GHE = 55°
2nd answer choice is correct
the parallel line is 2x+5y+15=0.
Step-by-step explanation:
ok I hope it will work
soo,
Solution
given,
given parallel line 2x+5y=15
which goes through the point (-10,1)
now,
let 2x+5y=15 be equation no.1
then the line which is parallel to the equation 1st
2 x+5y+k = 0 let it be equation no.2
now the equation no.2 passes through the point (-10,1)
or, 2x+5y+k =0
or, 2*-10+5*1+k= 0
or, -20+5+k= 0
or, -15+k= 0
or, k= 15
putting the value of k in equation no.2 we get,
or, 2x+5y+k=0
or, 2x+5y+15=0
which is a required line.
Answer:
The solution of this system is
(4). (6.0,5.4)
Step-by-step explanation:
First we have to find the equation of the line represented in the table; for that we have to find it's slope
and it's y-intercept
and then write it in the following form:

The slope
of the line we get from first two points:

thus we have

we find
by putting the point
into the function:


Thus we have

Now we have to find where this line intersects with
; to do this we just substitute
with
:



<em>We have the x-coordinate of the intersection.</em>
We find the y-coordinate by substituting
into
:


Thus the solution to the system is

which is option 4.
Answer= -9
It shows the y intercept on the graph