Answer: "always" for both
A line segment is <u>always</u> similar to another line segment, because we can <u>always</u> map one onto the other using only dilations and rigid transformations.
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Explanation:
A dilation is where we grow or shrink an object. In this case, it would be lengthening or shortening a line. We can dilate any line to get it to any desired length we want. Then to make sure it matches up perfectly with the other line, we can perform translations (aka shifting) and rotations.
In other words, if we have four points A,B,C,D then it is possible to use dilations and rigid transformations to map points A,B to points C,D. The first segment AB would map to segment CD.
Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
Answer:
Are these the option or what what this suppose to be ??????
Answer: 24 inches
Step-by-step explanation:
First, remember that 1 ft is equal to 12 in
Then, if 1 ft = 12 in
1 = 12in/1ft
this means that we can write a constant:
C = 12in/1 in
and C = 1, then we can write the width 2ft as:
2ft = 2ft*C = 2ft*12in/1ft = 24in
Answer:
I believe Deductive Reasoning. Based on logic. for example, If all up-and-coming freshmen are required to take a placement test, and you're an upcoming freshmen, therefore, you have to take a placement test.
Step-by-step explanation:
