Answer:
x=-5
Step-by-step explanation:
24x+48=168
24x-120
x=5
8(15+6)=168
120+48=168
168=168
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The two angles pictured are vertical angles, therefore:
8x - 6 = 6x + 12
Solve for x by subtracting 6x from both sides:
2x - 6 = 12
Add 6 to both sides:
2x = 18
Divide both sides by 2:
x = 9.
Answer:
Area of the rectangle is increasing with the rate of 84 cm/s.
Step-by-step explanation:
Let l represents the length, w represents width, t represents time ( in seconds ) and A represents the area of the triangle,
Given,


Also, l = 12 cm and w = 4 cm,
We know that,
A = l × w,
Differentiating with respect to t,


By substituting the values,



Hence, the area of the rectangle is increasing with the rate of 84 cm/s.