Question

Can somebody help with number 4 asap please

Answer 1

x=40 and

+_ is 5

Explanation:

Sum of the angles of any quadrilateral is 360.

4x +2x-10 +85 +x+_ = 360 combine like terms

7x + 75 = 360 subtract 75 on each side

7x = 360-75

7x = 285 divide by 7

x = 40.71

Now plug in back into equation x = 40:

4*40+ 2*40 -10 + 85 +40 + _ = 360

missing number is +5

Answer 2

x ≈ 41

Explanation:

All the angles in a quadrilateral add together to equal 360°

So set up the equation:

a + b + c + d = 360°

Now fill in the values we know:

x + _ + 4x + 2x - 10 + 85 = 360

7x + 75 = 360

Now subtract both sides by 75:

7x + 75 - 75 = 360 - 75

7x = 285

Divide both sides by 7:

7x / 7 = 285 / 7

x = 40.714

Round:

x = 41

Now to check our answer, substitute 41 for x in the equation:

(41) + _ + 4(41) + 2(41) - 10 + 85

(41) + 164 + 82 - 10 + 85 = 362

The answer is close to 360, so we know it is correct