The two triangles below are similar. Which pair are corresponding sides?

LN and MN
MN and QR
LM and QR
LM and PQ

Answer:

Step-by-step explanation:

We know that:

So, the ratio between the circumferences is 4 and the diameter of the second circle is 20. In this case, we have to use the ratio between those two circumferences, because that's what is our given data.

[tex]\frac{C}{C'}=\frac{d}{d'}\\5=\frac{d}{20}\\ 100=d[/tex]

From this proportion, we deduct that the diameter of the initial circle is 100. Now, we know that the radius in a circumference is have the diameter. Therefore, the radius is:

[tex]r=\frac{d}{2}=\frac{100}{2}=50[/tex]

The 7th person in line get 1/64th part of pizza.

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The first person takes a whole pizza and divides it in half ,keeps half and hands the other half to the next person in line .

And, The next people in line do the same with there slices of pizza .

Now,

Since, The first person takes a whole pizza and divides it in half ,keeps half and hands the other half to the next person in line . The next people in line do the same with there slices of pizza .

Hence, We get the sequence as;

⇒ 1, 1/2, 1/4, 1/8,....

Clearly, The sequence is geometric sequence.

⇒ T (7) = 1 × (1/2)⁶

           = 1/64

Thus, The 7th person in line get 1/64th part of pizza.

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To dilate the point (9, 6) using a scale factor of 1/3, multiply the x-coordinate and y-coordinate by the scale factor to find the new coordinates which are (3, 2).

To dilate the point (9, 6) using a scale factor of 1/3, we can multiply the x-coordinate and y-coordinate of the point by the scale factor to find the new coordinates.

For the x-coordinate, we have (9) * (1/3) = 3.

For the y-coordinate, we have (6) * (1/3) = 2.

So the dilated point is (3, 2).

Answer:

62

Step-by-step explanation:

My teacher told me

To find two equivalent fractions for 3/4 and 4/5 using multiplication, multiply both the numerator and denominator of each fraction by the same number.

To find two equivalent fractions for 3/4 and 4/5 using multiplication, we can multiply both the numerator and denominator of each fraction by the same number. Let's choose 2 as the multiplying factor.

For 3/4, multiplying both numerator and denominator by 2 gives us: 6/8.

For 4/5, multiplying both numerator and denominator by 2 gives us: 8/10.

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Final answer:

About 52 dog owners would be expected to brush their dog's teeth.

Explanation:

The question is asking to estimate the number of dog owners who brush their dogs' teeth based on the given percentage from a study. To calculate this, you would take the total number of dog owners and multiply it by the percentage that brush their dogs' teeth. In this case, there are 578 dog owners and 9% of them are expected to brush their dogs' teeth.

Here is the calculation:

Therefore, about 52 dog owners out of 578 are expected to brush their dogs' teeth.

Answer:

C. [tex]x=180^o-(31^o+40^o)[/tex]  

Step-by-step explanation:

We have been given a figure of angles formed on a straight line.

Since we know that the angles on a straight line add up-to 180 degrees. Upon using this property we can set an equation as:

[tex]31^o+x^o+40^o=180^o[/tex]

Let us subtract 40 and 31 degrees from both sides of our equation to solve to x.

[tex]31^o-31^o+x^o+40^o-40^o=180^o-31^o-40^o[/tex]    

[tex]x=180^o-31^o-40^o[/tex]

Upon factoring negative sign from right side of our equation we will get,

[tex]x=180^o-(31^o+40^o)[/tex]

Therefore, the equation [tex]x=180^o-(31^o+40^o)[/tex] can be used to find the value of x and option C is the correct choice.

Answer:

a little bit more than 37.70 yards

Step-by-step explanation:

Answer:

First question: 5. Second question:

You can do any really high number instead of doing the math.

a^2 + b^2 = c^2. A being side one, B being side 2, and C being side 3. Pythagorean theorem

1000 meters

Step-by-step explanation:

For the first question, we can use the Pythagoras theorem. make a square that is a 4 by 3. Then cut the square in half diagonally. Now to 4^2 + 3^2 which is 25. The square root of 25 is 5 so in a straight line, it'll be 5.

You can do any high number instead of calculating the minimum height.

Same as first with different inputs.

Same as first with different inputs.

The median number means the middle number so the number in the middle would be the answer

Answer:

87

hope o helped

Have a great day or night

Since, translation and rotation both are rigid transformations which maps only congruent images. They do not change the size and shape of pre-image.

Thus, here ΔABC is congruent to ΔDEF.

Since, translation and reflection both are rigid transformations which maps only congruent images. They do not change the size and shape of pre-image.

Thus, here ΔABC is congruent to ΔDEF.

Here rotation is a rigid transformation which maps only congruent images but dilation is not a rigid transformation because it produces similar images for scale factor other than 1 (with scale factor 1 it also produce congruent images) .

Thus, here ΔABC is not congruent to ΔDEF.

The determination of congruency between Triangle DEF and Triangle ABC depends on the nature of the transformations applied to Triangle ABC. If these transformations are rigid motions, then Triangle DEF will be congruent to Triangle ABC.

The question concerns whether Triangle DEF is congruent to Triangle ABC after undergoing a series of transformations. Congruent triangles are those that are identical in terms of size and shape, meaning their corresponding sides and angles are equal.

According to the given information, to determine congruency, we must consider the properties of the transformations involved. If the transformations applied to Triangle ABC are rigid motions (such as rotation, reflection, or translation), which do not alter the shape or size of figures, then Triangle DEF will be congruent to Triangle ABC. If however, the transformations include dilation or other non-rigid transformations that change the size but not the shape, Triangle DEF would not be congruent, although it could be similar to Triangle ABC.

Since the question provided involves linear transformations that transform lines into lines and take parallel lines to parallel lines, it is likely referring to rigid motions. Therefore, it suggests that Triangle DEF should be congruent to Triangle ABC, assuming that the series of transformations includes only those that preserve lengths and angles.

Speed of train is 3 hours 30 minutes

Speed of train = 150 miles per hour

Distance of Sun city = 525 miles

Speed of train

Speed of train = Distance of Sun city / Speed of train

Speed of train = 525 / 150

Speed of train = 3.5

Speed of train = 3 hours 30 minutes

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Answer:

3x2−2x−1

Step-by-step explanation:

Financial consultants argue against keeping cash at home and suggest opening a savings account or investing in a certificate of deposit (CD) for safer and more effective saving methods.

Financial consultants argue against the old-fashioned method of saving money by stuffing it in a mattress or hiding it in a cookie jar because it is not a safe or effective way to save. Keeping cash in your home puts it at risk of theft or loss, and it does not provide any potential for growth or earning interest. Instead, a financial consultant may suggest opening a savings account at a bank or credit union. This allows your money to be securely stored and can also earn interest over time. Another option they may recommend is investing in a certificate of deposit (CD), which offers a higher interest rate but requires depositing the money for a specific period of time.