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2 years ago

Line segment XY is dilated to create line segment X'Y' using point T as the center of dilation.

Mathematics

1 answer:

laiz [17]2 years ago

8 0

Answer:

$YT=12\ units$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles XYT and X'Y'T are similar by AA Similarity Theorem

$\frac{XT}{YT}=\frac{X'T}{Y'T}$

substitute the given values

$\frac{8}{YT}=\frac{6}{9}$

$YT=9(8)/6\\YT=12\ units$

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Look at Andrea’s running journal.

german

First align the decimal points and the numbers, then add the extra 0's if needed. Lastly, add and the total answer is 14.225.

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2 years ago

Read 2 more answers

RQ is tangent to Circle S. Use the diagram below to find the measure of QRS. mQRS < 90 mQRS > 90 mQRS = 90 not enough info

Masteriza [31]

Given that you did not include the diagram showing the circle, the tangent line and the points Q, R, and S, I am going to give you the explanation to answer the question.

1) The tangent lines to a circle form a 90° angle with the radius at the point of intersection.

2) Therefore, if the point of intersection of the tangent line and the circle is named R, and the points S and Q are one the center of the circle and the other is on the line RQ, then you know that the segment SR is a radius and the line RQ is the tangent, which means that they are perpendicular, i.e. the angle QRS is measures 90°.

In this case the answer is m angle QRS = 90°.

3) Otherwise the angle is different to 90° and you need to observe the figure to conclude whether it is greater than 90°, less than 90° or there is not enough information.

7 0

2 years ago

Given that $A = (\sqrt{2008}+\sqrt{2009}),$ $B = (-\sqrt{2008}-\sqrt{2009}),$ $C = (\sqrt{2008}-\sqrt{2009}),$ and $D = (\sqrt{2

kipiarov [429]

Answer:

ABCD = 0.803

Step-by-step explanation:

$A = \sqrt{2008}+\sqrt{2009} \\A = 44.81 + 44.82\\A = 89.63$

$B = -\sqrt{2008}-\sqrt{2009}\\B = -44.81 - 44.82\\B = -89.63$

$C = \sqrt{2008}-\sqrt{2009}\\C = 44.81 - 44.82\\C = - 0.01$

$D = \sqrt{2009}-\sqrt{2008}\\D = 44.82 - 44.81\\D = 0.01$

ABCD = 89.63 * (-89.63) * (-0.01) * (0.01)

ABCD = 0.803

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2 years ago

10 POINTS AND WILL GIVE BRAINLIEST

madam [21]

The final value of the car will be given by:

final = origamt(1 - .20) to the 4th power. The car will retain therefore,only 80% of its original value from the preceding year for each of the 4 years starting with an original value of $35000.

The calculation is

$final \: value \\ = (35000) {(.8)}^{4} \\ = 35000 \times .4096 \\ =$