What is the measure of ZA degrees?

Since this is an isosceles triangle, the angles opposite to the equal sides will also be equal

Therefore,

angle ABC  = angle ACB

We are given that angle ACB  is 30 degrees

Hence, angle ABC = 30 degrees

We know that according to the angle sum property, the sum of all interior angles of a triangle is 180 degrees

So, angle ABC + angle ACB + angle CAB  = 180 degrees

replacing the variables with values we already know

30 + 30 + angle CAB = 180

angle CAB = 180 - 60

angle CAB = 120 degrees

Hence the measure of angle A is 120 degrees

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: