Plz find it as soon as possible ​

42°

Step-by-step explanation:

42° ?

qsr multiple by 2

9514 1404 393

  42°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the remote interior angles.

Angle y exterior to ΔQSR is ...

  y = x +21°

Angle 2y exterior to ΔQPR is ...

  2y = 2x +∠QPR

Solving for ∠QPR, we have ...

  ∠QPR = 2(y -x) . . . . . subtract 2x from the second equation

Comparing to the first equation, we find ...

  21° = y -x . . . . . . . . . . subtract x from the first equation

Substituting for y-x, we get ...

  ∠QPR = 2(21°) = 42°

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

i think the correct option is the second option.