Answer:
x = 9
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
( cross- multiply )
12(x - 1) = 96 ( divide both sides by 12 )
x - 1 - 8 ( add 1 to both sides )
x = 9
9514 1404 393
Answer:
- reflection across the origin
- rotation 180° about the origin
- reflection across the x-axis, and translation right 6 units
Step-by-step explanation:
The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:
1. reflection across the origin
2. rotation 180° about the origin
3. reflection across both x- and y-axes, in either order
__
The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...
4. reflection across the x-axis and translation 6 units right, in either order
the value of x is 8 cm.
<u>Step-by-step explanation:</u>
Correct Question : In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 220π cm2. What is the value of x? Enter your answer in the box.
We have ,
the area of a circle = πr²
the outer circle area = 
the inside circle area = 
According to Question,
the outer circle area - the inside circle area = he shaded region
⇒ 
⇒ 
⇒ 
⇒
Therefore , the value of x is 8 cm.
Answer:
y=4x -9
Step-by-step explanation:
y intercept- where the line crosses the y-axis (-9)
Rise over run- 4