In the daigram AB ia parallel to CD, and AE is parallel to BC. AB=AC, angle ACD=68° and CDE=110° Find the size of the angle p ,q and r

p = 68° , q = 44° , r = 114°

Step-by-step explanation:

∠ ACD = ∠ BAC = p ( alternate angles ) so

p = 68°

Since AB = AC then Δ ABC is isosceles with base angles congruent, that is

∠ BCA = ∠ CAB = 68°

The sum of the 3 angles in the triangle = 180° , then

68° + 68° + q = 180°

136° + q = 180° ( subtract 136° from both sides )

q = 44°

∠ EAC = ∠ ACB ( alternate angles ) so

∠ EAC = 68°

The sum of the 4 angles in quadrilateral ACDE = 360°

r + 68° + 68° + 110° = 360°

r + 246° = 360° ( subtract 246° from both sides )

r = 114°

The y-intercept of f(x) is equal to the y-intercept of g(x)

Step-by-step explanation:

The y-intercept of a function is the value of the function (the value of y) when x = 0. So, it is the value of y at which the function touches the y-axis.

Here we have two functions. The first function is:

In order to find its y-intercept, we have to substitute x = 0 into the function and see the output. Doing so, we get:

The second function that we have instead is given by the table:

x -4 -2 0 2

g(x) -10 -7 -4 1

In order to find its y-intercept, we look at the table and we see the value of g(x) when x = 0. This is given by the 3rd point: when x = 0, then

So the correct answer is

The y-intercept of f(x) is equal to the y-intercept of g(x)