It is 2.3/2.6/5/24
from least to greatest
Answer: 1) 13 2) 11, 144°, 36° 3) 18, 54°, 126°
Step-by-step explanation:
For the first one to find x make the equations equivalent to each other
to make an equation.
7x - 16 = 5x + 10 // Now solve for x
add 16 to both sides
7x = 5x + 26
subract 5 from both x
2x = 26
Now divide by 2
x = 13
For the 2nd one do the same thing as last time because the equations are across from each other in parallel lines meaning they are equivalent.
12y + 12 = 15y - 21
add 21 to both sides
12y + 33 = 15y
subtract 12 from both y
33 = 3y
Now divide by 3
y = 11
Angle A is 144°
Angle B is 36°
Now solve for A ( replace y by 11 in the equation a to get an output )
12(11) +12
132 + 12 = 144°
Now to find b subtract 144 from 180
180 - 144 = 36°
For the 3rd one same thing since they are parallel.
5z - 36 = 3z
add 36 to both sides
5z = 3z + 36
now subtract 3 from both z
2z = 36
divide by 2
z = 18
Solve for C
5(18) - 36
90 - 36 = 54°
Z is 18
angle C is 54°
angle D is 126°
The center of the circle is the mid-point of every diameter.
When you have the (x,y) coordinates of the ends of a line segment,
the 'x' coordinate of the midpoint is the average of the 'x' coordinates
at the ends, and the 'y' coordinate of the midpoint is the average of the
'y' coordinates at the ends.
x(mid) = 1/2 (6 + 18) = 1/2 (24) = 12
y(mid) = 1/2 (-4 + 10) = 1/2 (6) = 3
The center of the circle is the point (12, 3) .