The answer:
<span>the two triangles are similar
in addition, the line UV is parallel to line BC, so we can use the theorem of Thales for proving the following ratios:
AV /AC = AU/ AB= UV/ BC
372/589=20x +80 / AB = 444 / 703
</span>so we get (372/589) AB - 80 = 20x, and x = ( (372/589) AB - 80 ) / 20
exact value of x depends on the value of AB
Answer:
A and D are the true number sentences
Answer:
Todd has 540540 songs in his playlist.
Vlad has 270270 songs in his playlist.
Becca has 162162 songs in her playlist.
Step-by-step explanation:
# of songs Todd has = T
# of songs Vlad has = V
# of songs Becca has = B
1) Todd has twice as many songs in his playlist as Vlad:
T=2V
2) Becca has three times as many songs in her playlist as Todd:
B=3T
3) All three people have a total of 243243 songs in their playlists:
T+V+B=243243
Because T=2V then you can substitute T as 2V in the second equation:
B=3(2V)
B=6V
Now in the final equation, you can substitute everything for V:
2V+V+6V=243243
9V=243243
V=27027
Now substitute for T:
T+1/2T+3T=243243
9/2T=243243
T=54054
Now substitute for B:
1/3B+1/6B+B=243243
3/2B=243243
B=162162
Check answers:
27027+54054+162162=243243
243243=243243
The required value is 8
How can we find value?
We will find the value by putting the value of w in the given function to get the required value.
We can find the value of given function foe w=2 as shown below:
Given, function is 2w+w^3-1/2w^2
Let A=2w+w^3-1/2w^2
for w=2
A=2(2)+(2)^3-1/2(2)^2
= 2+8-1/2(4)
=2+8-2
=8
Hence, the required value is 8.
Learn more about function here:
brainly.com/question/875118
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