Respuesta :
Answer:
225.5cm and 134.5cm
Step-by-step explanation:
From the question, the width of the poster is 91cm
We divide this width into 2
= 91cm/2
= 45.5cm
We are told that the center of the wall is 180cm right from the end of the wall.
Therefore,
Left edges of the poster from the right end of the all
= 180cm + 45.5cm
= 225.5 cm
The right edges of the poster from the right end of the all
= 180cm - 45.5cm
= 134.5 cm
Therefore, if Cara hangs the poster so that the center of the poster is located at the center of the wall, the left and right edges of the poster will be 225.5cm and 134.5cm from the right end of the wall respectfully.
x=225.5 or x=134.5
If we let xxx be the distance of a point from the right end of the wall, then:
|x-180|∣x−180∣vertical bar, x, minus, 180, vertical bar
is the distance from the point to the center of the wall. If the poster is centered, then:
2|x-180|2∣x−180∣2, vertical bar, x, minus, 180, vertical bar
represents the width of the poster.
Hint #2
Since the poster is 91\,\text{cm}91cm91, start text, c, m, end text wide, we have:
\begin{aligned} 2|x-180|=&91 \\\\ |x-180|=&45.5 \end{aligned}
2∣x−180∣=
∣x−180∣=
91
45.5
So either:
x-180=45.5x−180=45.5x, minus, 180, equals, 45, point, 5
or
x-180=-45.5x−180=−45.5x, minus, 180, equals, minus, 45, point, 5
Therefore:
x=225.5\,\text{cm}x=225.5cmx, equals, 225, point, 5, start text, c, m, end text or x=134.5\,\text{cm}x=134.5cmx, equals, 134, point, 5, start text, c, m, end text
Hint #3
The left edge of the poster is 225.5\,\text{cm}225.5cm225, point, 5, start text, c, m, end text from the right end of the wall and the right edge of the poster is 134.5\,\text{cm}134.5cm134, point, 5, start text, c, m, end text from the right end of the wall.
