10x - 12 + 10 = 18 - 20
10x - 2 = -2
10x = 0
x = 0
We solve for the area of the original triangle and solution is shown below:
Original triangle area = LW = 5*10 = 20 squared units
If we extend this x on one side that resulted to L-shaped, we have the new area such as shown below:
New area = (L+X) (W)
126 = (5+x) * 10
126/10 = 5+x
12.6 - 5 = x
7.6 =x
I. The equation that could be used to solve for x is below:
126 = (5+x)*w
II. We arrived on this because of the statement that "x is added to one side that resulted to L-shaped rectangle, therefore it is added on 5 ft side"
III. The value of x is equal to 7.6 ft.
Your answer to this would be:
A) ∠3, ∠6, ∠7
∠3 is congruent to ∠2 because of the vertical angles theorem. This theorem states vertical angles (angles opposite each other) are congruent.
∠6 is congruent to ∠2 because of the corresponding angles theorem. This theorem states corresponding angles (angles that are in the same position as their correspondent) are congruent.
∠7 is congruent to ∠2 because of the alternate exterior angles theorem. This theorem states that alternate exterior angles (angles on opposite sides of the transversal and outside the two parallel lines) are congruent.
Answer:
0
Step-by-step explanation:
We can solve this problem by division- What information can we gather?
- The ball reaches half its original hight each time it bounces, which is another way of saying it divides by 2 each time
- If we divide 16 by 2, we get 8.
- If we divide 8 by 2, we get 4
- If we divide 4 by 2, we get 2.
<em>The answer is 2</em>
Hope this helps!
