Answer: AA similarity theorem.
Step-by-step explanation:
Given : AB ∥ DE
Prove: ΔACB ≈ ΔDCE
We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA.
Also ∠C ≅ ∠C using the reflexive property.
Therefore by AA similarity theorem , ΔACB ≈ ΔDCE
- AA similarity theorem says that if in two triangles the two pairs of corresponding angles are congruent then the triangles are similar .
Answer:
A. x-6
Step-by-step explanation:
The area of a square is given by the expression 
square inches. Now we need to find an expression that represents the length of one side of the square, in inches. To do that we need to factor .
Since area of square is given by (side)^2
Hence one side of square is (x-6).
So choice A. x-6 is correct.
Answer:
2x+18
Step-by-step explanation:
We can start by distributing the 2 to each term in the parentheses...
2(x)+2(9)
Multiply
2x+18
Answer:
The probability is 0.0192 to four decimal places.
Step-by-step explanation:
In this question, we are asked to calculate the probabilities that three events will occur at the same time.
Firstly, we identify the individual probabilities.
The probability of 6 showing In a throw of die is 1/6
The probability of a coin showing head in a flip of coin is 1/2
The probability of a face card being drawn in a deck of cards is 12/52( There are 12 face cards in a deck of cards)
Mathematically to get the probability of all these events happening, we simply multiply all together.
This will be ;
1/6 * 1/2 * 12/52 = 1/52 = 0.0192 ( to 4 decimal place)
Answer:
x = −
4
Step-by-step explanation:
