Answer:
x=81 degrees z=99 degrees y=68 degrees
Step-by-step explanation:
first we know 36+63+x is 180 degrees by triangle sum ( the sum of the three angles of a triangle is 180) so x would be 81 degrees. then we know x+z=180 degrees by sum of a line( a line is 180 degrees on either side) making z=99 degrees. Then doing triangle sum again we know 13+99+y=180 degrees making y=68 degrees
Answer:
<h2>length= 40cm</h2><h2>width= 120cm</h2><h2>
Step-by-step explanation:</h2>
Area of a rectangle= lenght× width
Dimensions of 1st rectangle: L,W
Dimensions of 2nd rectangle: L+10; W+4
Hence,
LW = 480__________(1)
(L-10)(W+4) = 480_______(2)
LW = LW+4L - 10W - 40
4L = 10W +40
2L = 5W + 20
L = (5/2)W + 10_________(3)
But LW = 480 (from equation one)
So, W = 480/L
substitute as= 480/L into equation (3)
L = (5/2)(480/L)+10
L = 1200/L + 10
L^2 - 10L - 1200 = 0
factorising.
we're have,
(L-40)(L+30) = 0
therefore, since L can't be negative , L = 40
L = 40 cm (length)
Then 480/L = W = 120 cm (width)
<h2>therefore L= 40cm and W= 120cm</h2>
x=(5*21)/7=15 taken spaces
total =empty spaces+taken spaces= 21+15=
36
Answer:y=7 x=14 z=-5
Step-by-step explanation:
For the equation, we need to use the substitution method. So first we will use the y+2z=-3 and subtract 2z from both side and get y=-3-2z. then we will substitute the y in the 2+y+3z=-6 with y=-3-2z so it will be 2+(-3-2z)+3z=-6. then we combine the like-term so it will be -1+z=-6 then add both side with 1 and get z=-5. substitute the z in the y+2z=-3 with -5 and get y-10=-3 then add 10 to both side to get y=7 then substitute the y in the x-2y+z=-5 with 7 and z with -5 so the equation will be x-19=-5 then add the 19 on both side to get x=14.
