How do you solve this? Geometric Mean Middle, Left, Right

Determine the value of x, y, w and z.. Round to the nearest tenths place if necessary.
X =
y =
W =
Z=

w=5   x=2.1    y=5.4   z= 14.1

Step-by-step explanation:

w² = 13² - 12² = 25

w = 5

cos ∠1 = 12/13 = 13/(12+x)

12 (12+x) = 13 x 13 = 169

144 + 12x = 169

12x = 25

x = 25/12 = 2.08 = 2.1

∠1 + ∠2 = 90°

∠2 + ∠4= 90°    ∠4 = ∠1

sin ∠4 = x/y = sin ∠1 = 5/13

5y = 13x

y = 13/5 x = 13/5 * 25/12 = 65/12 = 5.4

z = 12 + x = 12 + 2.08 = 14.08 = 14.1

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

answer: 8d

step-by-step explanation:

45+5= 50+5=55+5=60