Answer:
x = 14
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, hence
4x + 14 + 2x + 15 + 5x - 3 = 180
11x + 26 = 180 ( subtract 26 from both sides )
11x = 154 ( divide both sides by 11 )
x = 14
The final equation after distributing is:
y = 15x - 66
The slope is 15
9514 1404 393
Answer:
46 units
Step-by-step explanation:
Each midline is half the length of the parallel side of ΔCAT. This tells us ...
TO = AO = DG = 10
AD = GO = 7
GT = DO = 9
The perimeter of the trapezoid is ...
TA +AD +DG +GT = (TO+OA) +AD +DG +GT
= (10 +10) +7 +10 +9 = 46
The perimeter of the trapezoid is 46 units.
The two equations given are:
3y + 2z = 12
y - z = 9
Now let us take the second equation first and find the value of y in relation to z
y = 9 + z
Now we will put the value of y found from the second equation in the first equation.
3y + 2z = 12
3(9 + z) + 2z = 12
27 + 3z + 2z = 12
5z = 12 - 27
5z = -15
z = -(15/5)
= -3
Now again we will put the value of z in the second equation for finding the value of y
y = 9 + z
= 9 - 3
= 6
So we find the value of "y" is 6 and that of "z" is -3