Find the Length of the missing side of the right Triangle using the Pythagorean Theorem. Round your answers to the nearest tenth. Please show your work in the "Show your work" text box. Draw a Picture!
The size of a television screen is given by the length of the diagonal of
the screen. What size is a television screen that is 21.6 inches wide and
16.2 inches high?
Show Your Work
O 22.5 in
18.4 in
27 in
O 13.2 in

27 inches

Step-by-step explanation:

We can use The Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

21.6 ^2 + 16.2^2 = c^2

466.56+262.44 = c^2

729 = c^2

Taking the square root of each side

sqrt(729) = sqrt(c^2)

27  = c

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°