You can cross multiply to get 4 * 21 = 7x
84 = 7x; divide both sides by 7
12 = x so the number 12 will go in the blank (12 girls)
Answer:
60°
Step-by-step explanation:
sum of interior angles of quadrilateral is 360°
∠C = 70°
∠D = 50°
∠C + ∠D = 120°
∴ ∠A + ∠B = 360° - 120° =240°
AO and BO bisect ∠A and ∠B
∠OAB + ∠OBA = 1/2 x ( ∠A + ∠B) = 120°
∠AOB = 180° - (∠OAB + ∠OBA) = 180° - 120° = 60°
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
First, we need to to multiply out the parathesis in the equation:
5x + 2(x - 4) = 5x + x - 10
5x + 2x - 8 = 5x + x - 10
Next, we can combine "like terms" to simplify the equation further:
5x + 2x - 8 = 5x + x - 10
7x - 8 = 6x - 10
Now we can isolate the variable "x" to one side:
7x - 8 = 6x - 10
x - 8 = -10
x = -2
To check our work, we can replace x with -2 in our original equation:
5x + 2(x - 4) = 5x + x - 10
5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10
-10 + 2 (-6) = -10 -2 - 10
-22 = -22
I hope this helps!
-TheBusinessMan
8/7. You must turn yards into feet. There are three feet in a yard, so 24 overall. You then divide both 21 and 24 by 3 because it's the smallest common factor.
