Answer:
SAS theorem
Step-by-step explanation:
If
and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

So,
and m∠ECD = m∠BCA because vertical angles are congruent
Therefore ΔECD is similar to ΔBCA by SAS theorem
Answer:
The slope is 3.
Step-by-step explanation:
Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.
Let's use the last 2 points in the table: (1, 7) and (2, 10)

= 
= 
The slope of this function is 3!
Hope this helps :) Feel free to ask me any questions!
Pythagorean theorem: a^2 + b^2 = c^2
The hypotenuse is always the c in the equation.
If the two side lengths they gave you are not the hypotenuse, then enter
4.5^2 + 5.6^2 in the calculator, then find the square root of that. :-)
Answer:
20
Step-by-step explanation:
2x - 5 = x + 15
2x - x = 5 + 15
x = 20
Answer:
D
Step-by-step explanation: