Answer: (D) No. The corresponding pairs of sides must also be marked congruent to determine that the triangles are congruent.
==================================================
Explanation:
The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.
Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.
The list of congruent theorems is
- SSS
- ASA
- AAS (or SAA)
- SAS
- HL
- LL
Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.
------------
So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.
Answer:
195
Step-by-step explanation:
3 x 60 = 180
180 + 15
195
Answer:
Sarah took home 30 pies
Step-by-step explanation:
Given
Total remaining pieces of pies after bake sale left with Sarah = 35
Her neighbor took 1/7 of the remaining pies
Her neighbor took 1/7 * 35 = 5 pies
Hence, pieces of pies left with Sarah = 35 - 5 = 30
Answer:
<u>6 : 1</u>
Step-by-step explanation:
The length is the longer side compared to the width.
Hence, the length is <u>42 inches</u> and width is <u>7 inches</u>.
<u>Taking the ratio</u> :
- Length : Width
- 42 : 7
- 7 x 6 : 7
- 6 : 1
Answer:
100
32x + 4 = 33x + 1. ( corresponding angles)
32x - 33x = 1 - 4
- x = -3
x=. 3
hence angle = 32*3 + 4 =. 100
hope it helps
