Answer:
x = 6
Step-by-step explanation:
Since, ∠1 ≅ ∠2
By angle bisector theorem,
By substituting the measures of each side in the given ratio of the sides,
12 = x(x - 4)
12 = x² - 4x
x² - 4x - 12 = 0
x² - 6x + 2x - 12 = 0
x( x - 6) + 2(x - 6) = 0
(x + 2)(x - 6) = 0
x = -2, 6
Since, measure of the sides can't be negative, x can not be negative.
Therefore, x = 6 will be the answer.
Answer: 72 grams.
Step-by-step explanation:
Let be "s" the amount of sugar in grams that must be used for 252 grams of coconut to keep the same ratio of coconut to sugar.
Knowing that in the recipe for the coconut cookies, should be 420 grams of coconut and 120 grams of sugar, and you only have 252 grams of coconut, you can set up this proportion to find "s":
Now, you need to solve for "s":