Figure EFGH is transformed to E’F’G’H’, as shown:
1 answer:
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Answer:
Step-by-step explanation:
1. Value of x
The diagonals of a rectangle are equal, so
PR = QS
2. Length of each diagonal
PR = 11x - 20 = 11×18 - 20 = 198 - 20 = 178
QS = x + 160 = 18 + 160 = 178
The length of each diagonal is 178.
To find the length of segment AC, we must find the total rise and total run between the two points.
Point C is located at (-5, 5). Point A is located at (3,-1). To find the rise, subtract the y-value of A from the y-value of C:
The rise of this segment is 6.
To find the run, subtract the x-value of A from the x-value of C:
The run of this segment is 8.
We can use the Pythagorean Theorem to find the length of this segment. The theorem uses the following formula:
The segment represents the hypotenuse, and the rise and run represent the legs of this segment. We know that the two legs' lengths are 6 and 8, so plug them into the equation:
Square root both sides to get c by itself:
The length of segment AC is 10.
Point C is located at (-5, 5). Point A is located at (3,-1). To find the rise, subtract the y-value of A from the y-value of C:
The rise of this segment is 6.
To find the run, subtract the x-value of A from the x-value of C:
The run of this segment is 8.
We can use the Pythagorean Theorem to find the length of this segment. The theorem uses the following formula:
The segment represents the hypotenuse, and the rise and run represent the legs of this segment. We know that the two legs' lengths are 6 and 8, so plug them into the equation:
Square root both sides to get c by itself:
The length of segment AC is 10.