Given: A ABC
The measure of measure of

∠A = 90  

∠B = 30

∠C = 60

Step-by-step explanation:

Let ∠B = x

∠A = 3x

∠C = x + 30

Angle sum property of triangle: Sum of three angles of triangle is 180

x + 3x + x + 30 = 180   {Combine like terms}

         5x  + 30 = 180

                    5x = 180 - 30

                   5x = 150

                     x = 130/5

x = 30

∠A = 3*30 = 90

∠C = 30 + 30 = 60

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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