Let:
Larger number = x
Smaller number = y
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x + y = 49
x - y = 21
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Isolate the x in the first equation. Subtract y from both sides
x + y (-y) = 49 (-y)
x = 49 - y
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Now that we know what x is, plug in 49 - y (which = x) into x in the other equation.
x - y = 21
(49 - y) -y = 21
Simplify.
49 -2y = 21
Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First subtract 49 from both sides
-2y +49 (-49) = 21 (-49)
-2y = 21 - 49
-2y = -28
Next, divide -2 from both sides to isolate the y
-2y/-2 = -28/-2
y = -28/-2
y = 14
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Now that we know what y is, plug into one of the equations.
x + y = 49
x + (14) = 49
Isolate the x. Subtract 14 from both sides
x + 14 (-14) = 49 (-14)
x = 49 (-14)
Simplify
x = 35
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Answer:
Larger number: 35
Smaller number: 14
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hope this helps
9514 1404 393
Answer:
B They are similar, but not congruent.
Step-by-step explanation:
Reflection, rotation, and translation are "rigid" transformations. They result in congruent figures.
Dilation is not a rigid transformation. For any dilation scale factor other than 1, the figures will be different sizes, so will not be congruent. They will be similar. (Angles will be congruent, and lines/sides will be parallel.)
The combination of dilation (by 0.5) and reflection results in similar, but not congruent, figures.
Answer:
x = -3
Step-by-step explanation:
7x - 3 = -24 (Given)
7x - 3 + 3 = -24 + 3 (Added 3 on both sides by using the addition property of equality)
7x = -21 (Simplified)
7x/7 = -21/7 (Divided 7 on both sides by using the division property of equality)
x = -3 (Simplified)
Therefore, x = -3.
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Step-by-step explanation:
