Answer:
c = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
24 = 6c
<u>Step 2: Solve for </u><em><u>c</u></em>
<u>Step 3: Check</u>
<em>Plug in c to verify it's a solution.</em>
Here we see that 24 does indeed equal 24.
∴ c = 4 is a solution of the equation.
Let the slope of the first line be m1
Let the slope of the second line be m2
If both lines are perpendicular, then;
m1m2 = -1
Get m1, the slope of the line passing through A (-2, 0) and B (2,-k).
m1 = y2-y1/x2-x1
m1 = -k-0/2-(-2)
m1 = -k/4
Get the slope of the line 3y + 2x = 5
Rewrite the equation;
3y = -2x + 5
y = -2/3 x + 5/3
Hence the slope of the line m2 is -2/3
Since m1m2 = -1, then;
-k/4(-2/3) = -1
2k/12 = -1
k/6 = -1
k = -6
Hence the value of k is -6
6
hcf stands for "highest common factor"
factors of 12= 1,2,3,4,6,12
factors of 30=1,2,3,5,6,10,15,30
factors of 48= 1,2,3,4,6,8,12,16,24
6 is the highest overlapping factor so its is the "hcf".
∠XYZ = 37.5
IN THE IMAGE ABOVE
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