Answer: x = 2
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Explanation:
Refer to the diagram below.
I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).
Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)
Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.
The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.
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Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.
The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10
Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.
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Now let's solve for x
6x-10 = 3x-4
6x-3x = -4+10
3x = 6
x = 6/3
x = 2
Answer:
If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Step-by-step explanation:
Well lets look at it lets find multiples that equal 200 when multiplied first to get rid of extra work
so i just took a couple of guesses and lined them up
i got really close when i did this one
-200/30 = -6.666666667
30 + 6.666666667 = 23.33333333
see not quite there almost 25 but not far enough
so ill try to move the numbers around little by little.
-200/29.5 = -6.779661017
29.5 + -6.779661017 = 22.72033898
okay honestly after i finished this trial i wasn't sure if i was thinking straight because i completely didnt think about which way i needed to go so now i pinched myself and this time we might head the right way lol
-200/30.5 = -6.557377049
30.5 + -6.557377049 = 23.94262295
so obviously we need to move up alittle more
-200/31 = -6.451612903
31 + -6.451612903 = 24.5483871
HEY LOOK WE ARE ALMOST THERE!! lets try some more;)
-200/31.5 = -6.349206349
31.5 + -6.349206349 = 25.15079365
see we are at 25! but lets try to get rid of as many numbers behind it as possible.
-200/31.4 = -6.369426752
31.4 + -6.369426752 = 25.03057325
getting closer...
-200/31.39 = -6.371455878
31.39 + -6.371455878 = 25.01854412
what does this mean? this means we can go lower... sooo here we go
-200/31.38 = -6.373486297
31.38 + -6.373486297 = 25.0065137
i guess we can try lower..
-200/31.37 = -6.375518011
31.37 + -6.375518011 = 24.99448199
wait! before you leave! try 31.379
-200/31.379 = -6.37368941
31.379 + <span>-6.37368941 = 25.00531059
</span>okay so yes, i am taking the very long way but good comes to those with patience:D lets try making the third place after the decimal a little bit lower
-200/31.377 = -6.374095675
31.377 + -6.374095675 = 25.00290432
yes we can take it lower so lets make it the best answer
-200/31.376 = -6.374298827
31.376 + <span>-6.374298827 = 25.00170117
</span>i pray this be over soon^ lets try again....
-200/31.375 = -6.374501992
31.375 + -<span>6.374501992 = 25.00049801
</span>okay im a perfectionist... sooo lets go lower
-200/31.374 = -6.37470517
31.374 + <span>-6.37470517 = 24.99929483
</span>okay so we went to low on the third place. and of course i am moving to the fourth place...
-200/31.3749 = -6.374522309
31.3749 + <span>-6.374522309 = 25.00037769
</span>okay we can move lower on that place....
-200/31.3748 = -6.374542627
31.3748 + <span>-6.374542627 = 25.00025737
</span>lets try to move this along faster...
-200/31.3746 = -6.374583262
31.3746 +<span> -6.374583262 = 25.00001674
</span>every number counts literally so moving lower
-200/31.3744 = -6374623897
31.3744 + <span>-6374623897 = 24.9997761
we gotta put a 9 on our fifth place from our decimal sooo here we go again
-200/31.37449 = -6.374605611
31.37449 + </span><span>-6.374605611 = 24.9998439
<span>OMG DO YOU UNDERSTAND WHAT THIS MEANS!!?!?!
</span>okay that means our answer was two trials ago solved
in other words our two numbers arreee
</span><span> 31.3746
</span><span>-6.374583262
</span>hallelujah we are finished and if this is wrong i will pull my hair out.
Answer:
F(t)
Step-by-step explanation:
We have given 
Now 
Here 
Now first find the Laplace inverse of G(S)
Using partial fraction


On comparing the coefficient
and
On putting the value of A and B

Taking inverse Laplace

Now in G(s) there is onether term 
So F(t)
Answer:
do yourself a favor and download photomath. It'll save your life
Step-by-step explanation: