Answer:
First, second, and third are true.
Fourth is false.
Step-by-step explanation:
1. When we're translating a figure, everything about the figure stays the same except its location on the coordinate plane. The side lengths, the angle measures, and parallel sides will not change.
2. The fourth one is false because two figures/objects are congruent if they have the same shape and size. Since translation only affects the location on a coordinate plane, the original and final figure are congruent.
Answer:see the picture to better understand the problem
we know that
scale factor=12/8----> 1.5
volume larger pyramid=scale factor³*volume smaller pyramid
scale factor=1.5
volume smaller pyramid=52 in³
so
volume larger pyramid=1.5³*52-----> 175.5 in³
the answer is
175.5 in³
Step-by-step explanation:
here is your answer to your work plz let me know if your answer is right and plz rate me the most brainlest
reflection and translation.
Given:
The different transformation in the options.
To find:
The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.
Solution:
In option 1,
It represents reflection across the line y=x.
In option 2,
It represents reflection across the x-axis.
In option 3,
It represents dilation by scale factor 4 and the center of dilation is at origin.
In option 4,
It represents translation 2 units right and 5 units down.
We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.
So, the perimeter of the figure and its image are same in the case of reflection and translation.
But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.
Therefore, the correct option is 3.
Answer:
- 
Step-by-step explanation:
15x + 4 = -1
15x = -5
x = -
× 
x = -
Answer:
a. $1360
b. $8.50 per hour
Step-by-step explanation:
a.
5 couches upholstered, each 105 equals 5 * 105 = 525
6 loveseats upholstered, each 85 equals 6 * 85 = 510
5 chairs upholstered, each 65 equals 5 * 65 = 325
Hence, total pay = 525 + 510 + 325 = $1360
b.
To find hourly rate, we take total amount and divide it by number of hours.
1360/160 = $8.5 per hour
Hence, hourly rate is $8.50 per hour
