Find the value of x. A triangle has a first side of length 3 that falls from left to right, a second side of length 5 that rises from left to right, and a third side that rises slightly from left to right. A right angle is indicated at the intersection of the first and second sides. The angle between the first and third sides measures x degrees. 3 5 x degrees xequals nothing (Do not include the degree symbol in your answer. Round to the nearest degree as needed

x = 59°

Step-by-step explanation:

See the attached diagram.

The first side of the triangle Δ ABC, i.e. AB of length 3, falls from right, then the second side BC of length 5, roses from left to right and the third side CA rises slightly from left to right.

The angle between AB and BC is 90° and that between AB and AC is x.

So, Δ ABC is a right triangle and hence,

⇒ (Approximate) (Answer)

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

its 4 because 2 times 2 is 4, if you double the number two you get four