These triangles are congruent by
the triangle
congruence
postulate [? ].
A. SSS
B. SAS
C. Neither, they are not congruent

B. SAS

Step-by-step explanation:

There is already a pair of corresponding congruent sides and angles. To continue, the side length in between is shared, so automatically, that is also a congruent side to both triangles. That is because of the reflexive property. So now, in the order that the corresponding congruent sides and angles appear in, the answer is SAS.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.