Each side of a rhombus is 30 units long. one diagonal makes a 25 degree angle with a side. what is the length of each diagonal to the nearest tenth of a unit?

25.4 units

54.4 units

Step-by-step explanation:

Given that,

length of each side of rhombus = 30 units

interior angle = 25 x 2

                      = 50°

other interior angle = (360-(50x2)) / 2 = 130°

Formula to use

c² = a² + b² - ab cosC

First diagonal

√(30² + 30² - 2*30*30*cos 50)

= 25.35 u

Second diagonal

√(30² +30² - (2*30*30*(cos 130)))

= √(1800-1800cos130)

= 54.37 units

step-by-step explanation:

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y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5