Answer:
∠A = 166°
Step-by-step explanation:
We can imagine the parallel line to the left as a shifted version of the one on the right. As we move it further left along the line the in middle (called a <em>transversal</em>), ∠B will slide closer and closer to ∠A. Eventually, the two will totally coincide, showing that ∠B ≅ ∠A. We call ∠A and ∠B <em>corresponding angles</em>, because they can be made to perfectly overlap in that way.
Since corresponding angles are congruent, their measures must be equal, so in this example, we can say that
, and since and ,
To solve for <em>x</em>, we can subtract 3x and 40° from both sides:
and divide both sides by 4:
We can now replace <em>x </em>with 18° in our expression for ∠A to find
Answer:
2x - 4
Step-by-step explanation:
x + 10 + x - 14
2x + 10 - 14
2x - 4
Answer:
25 sweets.
Step-by-step explanation:
If you have 56 sweets and you give 2/7 to Adam, you will have 5/7 of the sweets left. 56 * (5 / 7) = 8 * 5 = 40. So, you have 40 sweets left from giving 2/7 away to Adam.
If you eat 3/8 of the 40 sweets, you will have 5/8 of the 40 left. 40 * (5/8) = 5 * 5 = 25. You will have 25 sweets left; yum!
Hope this helps!
Good job last 15 sec of my challenge sorry about this answer
The number 7 should be removed from his list to make the list accurate.