∠ABC = ∠CDA (given)
∠BCA = ∠DAC (given)
CA = AC (common side)
ASA congruence criterion = when two angles of two triangles are equal and their included side is also equal, we can consider those triangles to be congruent to each other.
Since two angles in triangle △ABC and△CDA are equal and since their included side is also equal we can conclude that they are congruent.
Therefore, △ABC ≅ △CDA under the ASA congruence criterion.
Answer:
the first one
Step-by-step explanation:
The correct one is the one in the top left corner.
A great website to find out things like this is
https://www.mathpapa.com/algebra-calculator.html
Alliteration
how I remember is that the 2 L’s are together in the word, and the same letter is repeated in the sentence.
if that makes sense,
hope i’m not too late!!
Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
- 1 = x ( add 1 to both sides )
= x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 : 
- 1 = 
- 1 = 2 - 1 = 1 ≠ - 3
x = 2 : 
- 1 = 
- 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous
Answer:75 inches
Step-by-step explanation: 9+66=75
=75 inches
