Answer:
I hope this makes sense, sorry for the lack of proofs.
Step-by-step explanation:
It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.
Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.
There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.
Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.
Answer:
121.21 people per square mile
Step-by-step explanation:
area = 1/2(12 + 21)(14) = 231 mi²
28,000/231 = 121.21 people per square mile
Answer:
Let θ = (45 - A)°.
=> 2Tanθ/ 1 + Tan²θ
=> 2Sinθ/Cosθ / 1 + Sin²θ / Cos²θ
=> 2Sinθ/Cosθ/ Cos²θ + Cos²θ / Cos²θ
=> 2Sinθ/Cosθ/ 1 / Cos²θ
=> 2SinθCos²θ/Cosθ
=> 2SinθCosθ
=> Sin2θ
But we assumed θ = (45 - A)°,
=> Sin2(45 - A)
=> Sin(90 - 2A) (∵ Sin(90 - θ) = Cosθ)
=> Cos2A
= R.H.S
Hence proved.
Step-by-step explanation:
I think the answer choice is in the tens place
the expression looks like its missing the x value tbh...
you provided x and y but the expression doesn't
have an x.
so, that applied, 4.02+3(6)
4.02+3(6)
4.02+18
22.02
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but.... if you wrote your expression wrong and you meant to write 4.02x+3y,
than:
4.02(5) + 3(6)
20.1+18
= 38.1
__________
So, if you actually meant 4.02 + 3y, ur answer would be 22.02, but if you meant 4.02x+3y, then your answer would be 38.1
