Given ABC with incenter D, find mACD if mACB = 3x + 54 and m ACD = x + 31.

Given:

In triangle ABC, D is incenter m∠ACB = 3x + 54 and m∠ACD = x + 31.

To find:

m∠ACD.

Solution:

We know that,

Incenter of a triangle is the intersection point of all angle bisectors.

     ...(i)

Now,

      [Using (i)]

Substitute the values, we get

The value of x is 8.

Therefore, the measure of angle ACD is 39 degrees.

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.