Answer: 32
<u>Step-by-step explanation:</u>
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Step-by-step explanation:
when 2 shapes are similar, it means that all their angles are the same compared with each other.
and all distances (incl. side lengths) if one shape correlate to the corresponding distances in the other shadow by the same ratio or factor.
we have one side (30 m in A and 50 m in B), where we have both measures.
we see that the ratio to "go" from A to B is 30/50 = 3/5.
that means a distance in A is the same distance in B multiplied by 3/5.
and that factor is the same also for every other side.
therefore,
x = 15 m × 3/5 = 3 m × 3 = 9 m
y × 3/5 = 18 m
3y = 90 m
y = 30 m
The answer is: [C]: "no solution" .
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Given: 3y = 3/2 x + 6 ; Multiply each side by "2" ; to get rid of the fraction
2 * { 3y = 3/2 x + 6 } ; to get: 6y = 3x + 12
Given: 1/2 y –1/4 x = 3 ; Multiply EACH SIDE by "4" ; to get rid of the fraction ;
4 * { 1/2 y – 1/4 x = 3 } ; to get: 2y – x = 12 ;
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So we have:
6y = 3x + 12 ;
2y – x = 12 ;
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Multiply BOTH side of the "second equation" by "-1" ;
-1 * { 2y – x = 12 } ;
to get : x – 2y = -12 ;
Now, add "2y" to each side of the equation;
to isolate "x" on one side of the equation; & to solve for "x" ;
x – 2y + 2y = -12 + 2y ;
to get: x = 2y – 12 ;
Now, consider the "first equation" ;
6y = 3x + 12 ;
Divide EACH SIDE of this equation by "3" ;
6y / 3 = (3x + 12) / 3 ;
to get: 2y = x + 4 ;
Divide EACH SIDE of the equation by "2" ;
2y/ 2 = ( x + 4) /2 ;
to get: y = (x + 4) / 2 ;
Now plug in our calculated value for "x" ; which is:
" x = 2y – 12 " ; for the "x" values
y = [ (2y – 12)] + 4)] / 2 ;
y = (2y – 8 )/ 2
2y = 2y – 8 ??? ;;
The answer is: [C]: "no solution" .
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