In △XYZ, m∠Y = 55°, m∠Z = 74°, y = 15. Find the measure of angle X. If there is a 2nd triangle, write both measurements with the word AND in between. Round final answers to the nearest tenth.

The measure of angle X is 51°.

Step-by-step explanation:

The sum of all interior angles of a triangle is 180°.

For the △XYZ it is provided that

m∠Y = 55°

m∠Z = 74°

Compute the measure of angle X as follows:

m∠X + m∠Y + m∠Z = 180°

m∠X + 55° + 74° = 180°

m∠X = 51°

Thus, the measure of angle X is 51°.

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240