we know that
The sum of the internal angles in the triangle must be
degrees
see the attached figure with letters to better understand the problem
Step 
<u>Find the measure of the angle x</u>
In the triangle ABC

solve for x



therefore
<u>the answer Part a) is</u>
the measure of angle x is 
Step 
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x



therefore
<u>the answer Part b) is</u>
the measure of angle z is 
Step 
<u>Find the measure of the angle y</u>
In the triangle ACD

solve for y




therefore
<u>the answer Part c) is</u>
the measure of angle y is 
78 minutes...............................................
Answer:
Below
Step-by-step explanation:
The equation of a circle is written as:
(x-a)^2 + (y-b)^2 = r^2
● ( a,b) are the coordinates of the center . Here (0,-2)
● r is the radius (here 12)
So the equation is:
x^2 + (y+2)^2 = 12^2
Answer:
20x - 3
Step-by-step explanation:
<em>Finding the sum means adding the two together; combining like-terms.</em>
34x + 6 - 14x - 9
<em>34x</em><em> and </em><em>-14x</em><em> both have the variable </em><em>x</em><em> with them so we can combine those terms. Since </em><em>6</em><em> and </em><em>-9</em><em> have no variables with them, we can combine them.</em>
20x - 3
Lets name the shortest piece a, the medium b and the longest c
Together they are 90inches

The longest is 30 inches longer than the shortest

The third piece is half the lenght of the longest

So if you place c=a+30 in the other 2 equasions you get

And

Now if you put this 2 toghether u get

Multyplied by 2


Meaning that a=18inches
Now that we have the lenght of a we put it in the previous equasion

So b=48/2 which means b=24inches
And together they must be 90 so

C=48inches