Aright triangle (triangle 1) has measurements of a = 505 mm and b = 286 mm. what are the measurements for c, α, and β?

see the attached figure to better understand the problem  

Step 1

Find the value of c

we know that

Applying the Pythagorean Theorem

we have

substitute the values in the formula

Step 2

Find the value of angle A (α)

we know that

in the right triangle ABC

Step 3

Find the angle B (β)

we know that

in the right triangle ABC

angle A and angle B are complementary angles

so

A+B=90

solve for B

B=90-A-------> B=90-60.48-----> B=29.52°

therefore

the answers are

a) the measure of side c is 580.36 mm

b) the measure of the angle α is 60.48°

c) the measure of the angle β is 29.52°

x=4

step-by-step explanation:

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18