In ΔVWX, \overline{VX} VX
is extended through point X to point Y, \text{m}\angle VWX = (x+14)^{\circ}m∠VWX=(x+14)
∘
, \text{m}\angle XVW = (x+9)^{\circ}m∠XVW=(x+9)
∘
, and \text{m}\angle WXY = (5x-10)^{\circ}m∠WXY=(5x−10)
∘
. What is the value of x?x?

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.