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riadik2000 [5.3K]
2 years ago
10

George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),

B(2, 4), and C(6, 4). He wants to create another, similar-shaped garden, A′B′C′, by dilating triangle ABC by a scale factor of 0.5. What are the coordinates of triangle A′B′C′?
A.
A′(2, 2), B′(1, 2), C′(3, 2)
B.
A′(2, 1), B′(1, 2), C′(3, 2)
C.
A′(8, 4), B′(4, 8), C′(12, 8)
D.
A′(2, 1), B′(1, 2), C′
Mathematics
1 answer:
GarryVolchara [31]2 years ago
6 0

The coordinates of triangle A′B′C′ is  A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

  • A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
  • Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.

Learn more about coordinates here: brainly.com/question/24513436

#SPJ1

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According to the given percentages, it is found that there is a 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

We have that 33% of men search for green technology, hence, there is a 100 - 33 = 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

More can be learned about probabilities at brainly.com/question/14398287

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2 years ago
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This question has to do with making an approximation based on the diagram of the angle. Angle KLM is an obtuse angle meaning it is larger then 90° but is also less than 180°. The only choices that lie within this range are choices B and D. However, it is safe to assume that angle KLM is closer to 180° than to 90° based on the diagram, therefore the answer must be choice B.

I hope this helps.
5 0
3 years ago
Chi chi can hit The golf ball 72 yards. Rory Can hit a golf ball 24 yards. How many times further can Chi chi hit a golf ball th
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Answer:

Chi chi canhit a golf ball three times further than Rory.

Step-by-step explanation:

To compare the distance between the two golfers, we can set up a ratio:

\frac{Chi chi Distance}{Rory Distance} = \frac{72}{24} =\frac{3}{1}

Since the distance that Chi chi can hit the ball is 3:1 the distance that Rory can hit the ball, than Chi chi can hit the golf ball three times further.  When reducing a ratio or fraction to lowest terms, you need to divide the numerator and the denominator by the same factor.  Since 72 can be evenly divided by 24, we can divide both the numerator and the denominator by 24 to get 3:1.

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You have a home with a market value of $144,700, which has an assessment value of 72% of that amount. your city has a property t
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Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.

<h3>What is tax?</h3>

A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.

The given data in the problem is;

The market value of the home = is $144,700

They assessed a value of 72% of that amount.

The city has a property tax rate of 0.039.

The assessment value is found as;

\$ \ 144,700 \times  0.72 = \$ \ 104,184

The tax on the property will be;

\$ \  104,184 \times 0.039 = \$ \ 4,063.176

The amount which goes to funding schools is;

\$ \ 4,063.176 \times  0.65= \$ \ 2641.0644

Hence your taxes went to funding schools will be $2641.

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6 0
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Find the logarithmic function y = logbx that passes through the points
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Different values of b.

<h3>Answer: There is no logarithmic function whose graph goes through given points.</h3><h3 />

Maybe the second point is \left(\dfrac{1}{16},\ 2\right)

Substitute:

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<h3>Then we have the answer:</h3>

\boxed{y=\log_{\frac{1}{4}}x}

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