Answer:
y=5
x=20 degrees
K= 43 degrees
L=137 degrees
Step-by-step explanation:
aducent angles of parralologram add to 180 degrees
so (6x+17)+ (2x+3)=180
or 6x+17+2x+3=180
so 8x+20=180
and 8x=160
x=20 degrees
opposite sides of parralologram are equal so
6y-13= 32-3y
or 9y=45
and y=5
opposite angles are coonguent so
ang K= 2x+3
so K= 43 degrees
aducent angles of parralologram add to 180 degrees
so ang L+43=180
and L=137 degrees
<u>if you find my answer helpful please mark as brainliest </u>
Answer:
Since 1 km = 1000 m, the lawnmowers top speed would be 8000 m/h.
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
(-2)^-3 x (-24)
(-2)^3 becomes 1/(-2)^3 in order to make the negative exponent a positive one.
then, you do 1/-8 (the -8 is the (-2)^3 simplified) x -24
1/-8 x (24) = 24/-8 = -3.
Hope this helps! :)
Answer with explanation:
<u>Part A: </u>
One solution.
The number of points of intersection represents the number of solutions. Since the two lines only intersect at one point, there is only one solution.
<u>Part B:</u>
(3, 4)
The point(s) of intersection marks the solution(s) to the lines. Since lines A and B intersect at the point (3, 4), the solution to the equation of their lines is (3, 4), or 
, as coordinates are written as (x, y).
A + c = 824 represents number of tickets to sell
20a + 12c = 13,344 represents cost of each type of ticket
multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'
-12(a + c = 824)
-12a - 12c = - 9888
20a + 12c = 13,344 add equations together
-----------------------------
8a = 3456 divide both sides by 8
a = 432
To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392
adult 432, children 392
