Answer: Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem.
Step-by-step explanation:
Given : ABCD is a parallelogram.
That is, AB ║ CD and AD ║BC
We have to prove that: AB≅CD and AD≅BC
Proof:
Construct diagonal AC in the parallelogram ABCD.
Since, AC ≅ AC ( reflexive)
∠ BAC ≅ ∠ DCA ( By the alternative interior angle theorem)
∠ BCA ≅ ∠ DAC ( By the alternative interior angle theorem)
⇒ Δ BCA ≅ Δ DAC ( By ASA congruence postulate )
⇒ AB≅CD as well as AD≅BC ( BY CPCTC )
Thus, the opposite side of the parallelogram are congruent.
3/4(x+2) = x-2
the answer is
x=2
Discrete data can be numeric like numbers of apples.and it can be categorical too as well. Like red or blue, male or female, and good or bad. Continuous data are not restricted to defined seperate values. But it can occupy any value over a continuous range.
Hope this is helpful !! :)
An example for continuous data would be :
Example: the results of rolling 2 dice:
can only have the values 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12
Answer:
Step-by-step explanation:
2*9= 18*8=144/2=72
(also if u can can u please help me with my english question on my profile thanks)
Answer:
Step-by-step explanation:
This question shouldn't be asked this way. Any change like that should be reflected on both sides. This way makes the question ambiguous.
I'm going to let the graph answer the question for you
The red line is f(x) + 5 = x
The blue line is f(x) = x
You will notice that the red line is 5 units below the blue line. So the answer is B.
You could look at this another way
f(x) = x - 5 when 5 is subtracted from both sides.
Notice the minus sign. It means that the line has been shifted down.
Slope has nothing to do with it. C and D are both incorrect for that reason.