Answer:
x = 65 , y = 64
Step-by-step explanation:
y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is
y - 16 + 2y + 4 = 180
3y - 12 = 180 ( add 12 to both sides )
3y = 192 ( divide both sides by 3 )
y = 64
then
2y + 4 = 2(64) + 4 = 128 + 4 = 132
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2y + 4 is an exterior angle of the triangle , then
x + 67 = 132 ( subtract 67 from both sides )
x = 65
Step-by-step explanation:
The slope-intercept form can be obtained by solving for y.
8x-y=-6
-8x
-y=-8x-6
divide by negative 1 to turn y positive.
y=8x+6
Answer: OPTION D.
Step-by-step explanation:
The formula for calculate the circumference of a circle is:

Where <em>r</em> is the radius.
The formula for calculate the area of a circle is:

Where <em>r</em> is the radius.
Solve for <em>r</em> from
to calculate it:

Subsitute the radius into
. Then:

Answer:
57°
Step-by-step explanation:
Angles EGB and EHD are corresponding angles of two parallel lines cut by a transversal; therefore, they are congruent.
m<EGB = m<EHD = 57°