If an isoceles triangle has one angle that measures 38 degrees. what is the measurement of the other angles?

In an isosceles triangle, two of the angles are equal. And, a triangle’s three angles add up to 180.
So: if an isosceles triangle has one angle measuring 38 degrees, it also has another angle measuring 38 degrees. To find the measure of the third angle, subtract from 180 the sum of the two other angles. Like this: 180 - (38+38). Then solve it: 180 - 76 = 104.
So: the angles are 38 degrees, 38 degrees, and 104 degrees.

2x^2 -2x -12 = 02(x -3)(x +2) = 0see below for explanation

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

It will take him 5 days