The length of the base of an isosceles triangle is x. the length of a leg is 4x - 3. the perimeter of the triangle is 75. find x.

Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first draw a diagram visually representing the problem so that we can better understand it. The diagram is attached above.

Next we will establish the following:

Perimeter of a triangle = The sum of the length of all three sides of the triangle

75 = ( 4x - 3 ) + ( 4x - 3 ) + ( x )

75 = 9x - 6

9x - 6 = 75

9x = 75 + 6

9x = 81

x = 81 / 9

x = 9

FINAL ANSWER:

Therefore, the answer is:

x = 9

Hope this helps! :)
Have a lovely day! <3

P(landing open side up) = 2/50 = 1/25
p(landing closed side up) = 6/50 = 3/25
p(landing on its side) = 42/50 = 21/25