Compute the missing angles in the given figure.

x=52°

Step-by-step explanation:

∠LNP+142°=180°

∠LNP=180°-142°  

         = 38°

∠LMN=x

x+90°+38°=180°

x+128°=180°

x=180°-128°

 =52°

 x = 52°

Step-by-step explanation:

In the given figure,

142° is an exterior angle of triangle LMN

∠L = 90°

∠M = x

Exterior angle theorem: Sum of two opposite interior angle of a triangle is equal to exterior angle of triangle.

Therefore,

∠LMN + ∠MLN =  ∠MNP

          x  +  90° = 142°

                     x = 142° - 90°

                     x = 52°

Hence, The missing angle is 52°

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)