You cannot rely on the drawing alone to prove or disprove congruences. Instead, pull out the info about the sides and angles being congruent so we can make our decision.
The diagram shows that:
- Side AB = Side XY (sides with one tick mark)
- Side BC = Side YZ (sides with double tickmarks)
- Angle C = Angle Z (similar angle markers)
We have two pairs of congruent sides, and we also have a pair of congruent angles. We can't use SAS because the angles are not between the congruent sides. Instead we have SSA which is not a valid congruence theorem (recall that ambiguity is possible for SSA). The triangles may be congruent, or they may not be, we would need more information.
---------------
So to answer the question if they are congruent, I would say "not enough info". If you must go with a yes/no answer, then I would say "no, they are not congruent" simply because we cannot say they are congruent. Again we would need more information.
Answer:
d. n≤5
Step-by-step explanation:
This is the answer
Answer:
k=30
Step-by-step explanation:
The number of mice vary inversely with cats. This is written as:
When there are 3r-19 cats, there are 2r+1 mice
When there are 6r-27 mice, there are r-5 cats.
Taking the values of k above, we have:
Therefore:
Answer:
Option b
Explanation:
To solve this problem you need to plug in the values provided and determine if they make the equation true.
Step 1 - Plug in the values for x and y given in option a. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
9 = 3(2) + 1
9 = 7 {not true}
Since the second ordered pair does not make the equation true, this is not the correct answer.
Step 2 - Plug in the values for x and y given in option b. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
7 = 3(2) + 1
7 = 7 {true}
y = 3x + 1
19 = 3(6) + 1
19 = 19 {true}
Since all of the ordered pairs given in Option b make the equation true, this is the correct answer. To double check, you can do the same process for option c to make sure it is not true.
Step 3 - (Optional step) Plug in the values for x and y given in option c. Determine if all values make the equation true.
y = 3x + 1
-1 = 3(0) + 1
-1 = 1 {not true}
Since the first ordered pair given does not make the equation true, this is not the correct answer.
Fossils, layers of rock, and possible water. but try the first two. Sorry if this wasn't helpful. But Good Luck! :D <3
