Answer: Alycia only established some of the necessary conditions for a congruence criterion.
Step-by-step explanation: Two triangles are <u>congruent</u> if their corresponding sides or/and corresponding angles are the same.
There are 5 ways to find out if the triangles are congruent.
The one Alycia used seems to be the one called <u>Side-Angle-Side</u>, which states that if two sides and its included angle is equal to the corresponding sides and angle of the other triangle, they are congruent.
For triangles ΔOPQ and ΔSTR to be congruent, using that theorem:
1) ∠O = ∠S
2) OP = TS
And
3) RS = OQ
So, Alycia's error is that she didn't prove RS = OQ, which would definitively conclude that both triangles are congruent.
Answer:
96 ft
Step-by-step explanation:
Well add the given numbers up and calculate unkown sides using given measurments
Domains of functions are the values that <em>can</em> be plugged into the function and not "break" it. By "break" I mean that the denominator cannot be 0, in this case. If the denominator is 0, we will get a divide by 0 error, and thus, we must restrict the domain. All values of x will work except 9/4:
Let's plug in 9/4 and see what happens:
So, plugging in 9/4 results in denominator equalling 0. Therefore, we must restrict the domain so that x ≠ 9/4. Your answer is All real values of x such that x ≠ 9/4.
The sign of an addition problem is the sign of the larger addend while the sign of a subtraction problem is the sign of the smaller subtrahend.
Answer:
Step-by-step explanation:
Recall that when looking at unit circle values, sin (45) is equivalent to . Therefore:
Simplify the fraction, which becomes:
Therefore,