The unlabeled part of the right angle is complementary to 68 degrees, so 22 degrees. y is supplementary to 78 degrees, so 102 degrees. z as the third angle in the small triangle is 180 less than the sum of the other two,

z = 180 - 22 - 102

Answer: 56 degrees

7 0

3 years ago

Read 2 more answers

If segment DF is an angle bisector, solve for x

klasskru [66]

Answer:

x = 19

Step-by-step explanation:

Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is

$\frac{DE}{DG}$ = $\frac{EF}{GF}$ , substitute values

$\frac{25}{22.5}$ = $\frac{x-9}{9}$ ( cross- multiply )

22.5(x - 9) = 225 ( divide both sides by 22.5 )

x - 9 = 10 ( add 9 to both sides )

x = 19

8 0

2 years ago

Sanjay begins to correctly graph the function f(x) = (x + 1)2 – 3. Based on the axis of symmetry and the vertex, which graph cou

Vilka [71]

Given the function f(x) = (x + 1)^2 - 3, we recognize that because of the x^2 factor we have a parabola that opens up. Its vertex is (-1, -3), which I have swiped from the given equation. The axis of symm is x= -1.

3 0

3 years ago

Read 2 more answers

What is -1/6 multiplied by 6

Tems11 [23]

Answer:

$-1$