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:
D. 8
Step-by-step explanation:
See the picture for steps
DVD weighs 6lbs and game machine weighs 14lbs, so in this case A
in my mind this is what i did...
3(gameMachines) + 5(DVD) = 72lbs
3(gameMachine) + 1 (DVD) = 48lbs
when you subtract, since there is the same number of game machines, they cancel out and your left with
4(DVD) = 24
1 DVD = 6
then just fill in DVD in one of the equations to get the weight of gameMachine
3(gameMachines) + 5(6) = 72lbs
3(gameMachines) = 42
gameMachine = 14
Answer:
Step-by-step explanation:
We are given with two equations
first equation is 
second equation is
we find the result of subtracting two equation
subtract the second equation from the first, so
first equation - second equation, multiply second equation by -1 and then add it with first equation
Now add both equations, we get
Airplane wing span ÷ Model wing span
108 /3 = 36/1
The scale factor is 36 to 1.
