Answer:
Step-by-step explanation:
12 (x + 2) - 4x = 4 (2x + 11) - 20
12 + 24 - 4x = 8x + 44 - 20
36 - 4x = 8x + 24
36 - 24 = 8x - 4x
12 = 4x
---- ----
4 4
3 = x
-x = -3
x = 3
Answer:
All angles are 113 or 67. See below for each angle measure.
Step-by-step explanation:
Parallel lines cut by a transversal have several angle relationships which can be used to find an unknown angle measure:
• Alternate Interior Angles are angles across the transversal between pairs of parallel lines. These angles are congruent. Example: 8 and 4 are congruent and are pairs of alternate interior angles. 7 and 3 are another set.
• Alternate Exterior Angles are angles across the transversal outside of the parallel lines. These angles are congruent. Example 1 & 5 are congruent alternate exterior angles. 2 and 6 are another set.
• Supplementary angles are angles which form a line and add to 180. If angle 1 + angle 2 = 180 and angle 1 = 113, then 113 + Angle 2 =180. Angle 2 must be 67 degrees.
• Vertical angles are angles across a vertex. They are congruent. Example: Angle 2 and Angle 8 are both 67.
Using these relationships, the following angles have the following measures:
Angle 1 = 113
Angle 2 = 67
Angle 3 = 113
Angle 4 = 567
Angle 5 =113
Angle 6 = 67
Angle 7 = 113
Angle 8 = 67
Answer:
7.83 repeating
Step-by-step explanation:
Cal’s
Answer:
Here
Step-by-step explanation:
We move all terms to the left:
7+9x-(6x-2)=0
We get rid of parentheses
9x-6x+2+7=0
We add all the numbers together, and all the variables
3x+9=0
We move all terms containing x to the left, all other terms to the right
3x=-9
x=-9/3
x=-3
