Answer:
x =20.8
Step-by-step explanation:
We can find the value of 1/2 of x using the Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 6^2 = 12^2
a^2 = 36+144
a^2 = 108
Take the square root
sqrt(a^2) = sqrt( 108)
a =sqrt(36*3)
a = sqrt(36) sqrt(3)
a = 6sqrt(3)
Now x = 2 times the length of a
x = 2 * 6 sqrt(3)
x = 12 sqrt(3)
x =20.78460969
x =20.8
Answer:
∠YXZ = 62°
Step-by-step explanation:
A straight line measures 180 degrees
The angle "8x - 14" PLUS its adjacent angle Z sum up to 180, so we can write:
Z + 8x - 14 = 180
Z = 180 +14 - 8x
Z = 194 - 8x
Sum of 3 angles of a triangle is 180 degrees, thus we can write:
X + Y + Z = 180
3x + 5 + 4x + 194 - 8x = 180
Now, we solve for x:

The measure of ∠YXZ is "3x + 5", we substitute the value of x and find this angle to be:
3x + 5
3(19) + 5
62
Thus,
∠YXZ = 62°
There is 248 freshman enrolled
3 1/6 = 19/6
2 1/9 = 19/9
19/6 / 19/9 = 19*9/19*6 = 9/6 = 3/2
Answer:

Step-by-step explanation:
25 - 3x = -5(1 - x) - 2x
<u></u>
<u>We have to first get rid of the parenthesis:</u>
==> -5
==> 5x
<u>So now you should have:</u>
25 - 3x = -5 + 5x - 2x
<u>Combine like terms:</u>
25 - 3x = -5 + 5x - 2x
25 - 3x = -5 + 3x
<u>Add 3x to both sides:</u>
25 - 3x = -5 + 3x
+ 3x = + 3x
<u>And you should have:</u>
25 = -5 + 6x
<u></u>
<u>Add 5 to both sides:</u>
25 = -5 + 6x
+5 = +5
30 = 6x
<u>Divide 6 to both sides:</u>
= 
5 = x