Charles draws a supplementary angle and partitions it into 4 smaller angles totaling 180° . Angle X and Angle Y have the same measurement. Angle Z is 250% the value of Angles X and Y. Angle W is half the value of Angle X. Write an expression to determine the measurement of each angle.

w= 18° , x= 36°, y= 36°, z= 90°

Step-by-step explanation:

Let angle x be denoted as x

Since Angle X and Angle Y have the same measurement. This means: x = y

Angle Z is 250% the value of Angles X and Y. This means:

z = 250% × x = 2.5x

Angle W is half the value of Angle X. This means:

w = 1/2 × x = 0.5x

Add all the angles together and recall that:

w = 0.5x

x = x

y = x

z = 2.5x

W + X + Y + Z = 180

0.5x + x + x + 2.5x = 180

5x = 180

x = 180/5

x = 36°

w = 0.5x = 0.5 × 36° = 18°

x = x = 36°

y = x = 36°

z = 2.5x = 2.5 × 36° = 90°

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

75

step-by-step explanation: