Answer:
I will assume that the term "x+2/2" is meant to be "(x + 2)/2)." Otherwise the equation would read (x/3) = x + 1
Step-by-step explanation:
(x/3) = (x + 2)/2
x = 3*(x+2)/2 [Multiply both sides by 3]
x = (3x + 6)/2
x = (3/2)x + 6/2
x - (3/2)x = 3
-0.5x = 3
x = -6
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Check:
Does (x/3) = (x + 2)/2 for x = -6?
(-6/3) = (-6 + 2)/2
-2 = -4/2
-2 = -2 YES
Answer:
Distance of home plate to 1st base is equal to home plate to 3rd base
Step-by-step explanation:
Let's first assign each position:
A: home base
B: 1st base
C: 2nd base
D: 3rd base
The information given:
'It’s the same distance from the second base to the first base from the second base to third-base' tells us BC = CD
'the angle formed by the first base second base and Homeplate has the same measure as the angle formed by the base second base home plate' tells us angle(BCA) = angle(DCA)
Check for congruency between triangle ABC and ADC
BC = CD - side congruency (S)
angle(BCA) = angle(DCA) - angle congruency (A)
CA = CA - side congruency (S)
So triangle ABC and ADC fullfill the criteria of congruence property as SAS.
Since both triangle are congruent, another side of the triangles AB and AD must be the same too.
AB = home plate to 1st base
AD = home plate to 3rd base
Therefore we can conclude that the distance of home plate to 1st base is equal to home plate to 3rd base
In order to answer the question we need a picture of some kind
Answer:
3
Step-by-step explanation:
I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.
In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.
Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.
Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.
That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.
Hope this helps :)
