Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0
Well first lets do the distributive property so the left side is already done 28, now the right side -4 (2x+7) when you do that you get -8x-28. So now we have 28=-8x-28. So now I would move the -28 to the left side and when you move stuff to the other side you change the sign so the sign will be positive 28+28 which is 56. Now you have 56=-8x. Now divide both side by -8 to have -7=x
Your Answer: x = -7
Answer:
m<3=24
m<5=24
Step-by-step explanation:
So we know that the sums of the angle measures of a triangle equal 108 degrees. So what we would do is 180 - 138 to get 42. From there we would divide by 2. To get what angle measure 3 and 5 are equal to. And in this case it would be 24 degrees.
