Answer: B) Dilate by scale factor of 2
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Explanation:
Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.
If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.
Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.
Answer:
2 sides of the patio are 9ft and another 2 sides are 15ft
Step-by-step explanation:
To solve this problem we have to know thata rectangle has 4 sides and 2 of them are equal to each other
This is the formula to calculate perimeter
p = perimeter 48 ft
a = side a = 9 ft
b = side b
p = 2a + 2b
we replace the known values
48ft = 2*9ft + 2b
48ft = 18ft + 2b
48ft - 18ft = 2b
30 / 2 = b
15 = b
2 sides of the patio are 9ft and another 2 sides are 15ft
Answer: m= $25/10 r
Step-by-step explanation:
Let m= money
r= raffle ticket
Then according to the statement
m= $25 for 10 tickets
so 10 tickets= $25
Or the equation goes,
m= $25/10 r
Answer:the second one is the answer
Step-by-step explanation:trust me
Answer:
Step-by-step explanation:
<u>Slope-intercept form of a linear equation:</u>
where:
- m is the slope.
- b is the y-intercept.
<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:
Therefore, the slope of the given equation is -⁵/₇.
If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1. Therefore, their slopes will be negative reciprocals of each other.
Therefore, the slope of the line perpendicular to the given equation is:
<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:
<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:
Learn more about slope-intercept form here:
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