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Which set of ratios could be used to determine if one triangle is a dilation of the other?

A. 3.6/3 = 5.4/4.5 = 6/5
B. 3.6/3 = 4.5/5.4 = 6/5
C. 3/3.6 = 4.5/6 = 5/5.4
D. 3/4.5 = 3.6/5.4 = 5/6

Answer:

3rd Option

Step-by-step explanation:

Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.

Answer:

Option D is correct

Step-by-step explanation:

With x < 4 and y < 5:

P = 4x + 3y < 4(4) + 3(5) = 16 + 15 = 31

=> Option D is correct

Given the equation P = 4x + 3y  With constraints x > 0, x < 4 and y < 5:

Option D is correct that is 31.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given the equation P = 4x + 3y

With  constraints x > 0, x < 4 and y < 5:

The maximum value is

P = 4x + 3y < 4(4) + 3(5)

P = 16 + 15

P = 31

Hence, the Option D is correct.

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Answer:

≈ 68.2°

Step-by-step explanation:

tan X= 20/8

tan X= 2.5

x= tan ⁻¹ 2.5

x ≈ 68.2°

Answer:

Step-by-step explanation:

 To find the size of YXZ we should use some trigonometry but first let's find the length of YZ

(XZ)²+(ZY)²=(YX)²

YX=[tex]\sqrt{20^{2}+8^{2} }[/tex]

    =4[tex]\sqrt{29}[/tex]

Answer:

15/163

Step-by-step explanation: I dont have one

Answer:

i think its D

Step-by-step explanation:

Answer:

The smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10 is 2,520.

Step-by-step explanation:

2520/1 = 2520

2520/2 = 1260

2520/3 = 840

2520/4 = 630

2520/5 = 504

2520/6 = 420

2520/7 = 360

2520/8 = 315

2520/9 = 280

2520/10 = 252

Answer:

y = 8x - 26

Step-by-step explanation:  

Since we already have the ending equation in slope intercept form, all we need to do is fill in the blanks. We do that by putting it in point slope form which is [tex]y-y_{1}=m(x-x_{1})[/tex]

(You can plug either point in and get the same result but I'm going to use the first one)

[tex]y-(-2)=8(x-3)[/tex]

Distribute the [tex]m(x-x_{3})[/tex]

[tex]y-(-2)=8x-24[/tex]

Isolate the [tex]y[/tex]

[tex]y-(-2)=y+2[/tex]

[tex]y+2(-2)=8x-24(-2)[/tex]

[tex]y=8x-26[/tex]

And that's your answer!

Answer:

The selling price of the cleaner is:

Step-by-step explanation:

First, we have the base of the value that is $120, now we know that the overhead is 5%, so we must calculate this value in dollars, the 5% of $120 is:

This value you must add to the base ($120), so the cost with the overhead is $126. How the store wants to make a profit of 10%, you must calculate this 10% of the total cost obtained ($126):

And you must add this value to obtain the final price in the store:

Answer:

-6634

Step-by-step explanation:

all we have to do is plug in -3 everywhere m is and 5 where n is:

(5(-3))² - (2(5)-3(-3))³

(-15)² - (10+9)³

225 - 6859

-6634

Answer:

A,C,&D

Step-by-step explanation:any funny bur cute romance anime recommendations?

Answer:

median: 90

mode: 91

mean: 84.2 or round it to 84

Step-by-step explanation:

Let me know if this helps! have a great day! :)

Answer:

a) Median = 91

b) mode = 91

c)Mean 84.2

Step-by-step explanation:

a) Median is the middle term. So, 6th term

Median = 91

b) Mode is the score which occurs more number of times

91 occurs 3 times

Mode = 91

c) Mean= sum of all data's/Number of data's

            = 85 + 91 + 48 +98 + 99 /5

            = 421/5

  Mean = 84.2

Answer:

There are 9 llamas.

Step-by-step explanation:

For Billy, we have to find a number that is divisible by four, because he has one group of lambs, and 3 times as many llamas, which gives us 4 groups altogether. The number must be below 10 in order to not go above 17 when Milly's number of animals are included, but above 4 itself in order to reach the target of 17 in the first place.

As you can guess, the only number that fits all the criteria is 8. It's divisible by 4 and below 10, but above 4 itself.

If Billy has three times as many llamas as lambs, then he must have 2 lambs, and 6 llamas, as 2 × 3 = 6.

If we know that Billy has 8 animals, then we also know that Milly must have 9 animals, as 17 - 8 = 9.

We also know that Milly has 3 groups of animals; one group of llamas, and two groups of lambs, meaning we divide the number of animals she has by 3.

9 ÷ 3 = 3.

This tells us Milly has just 3 llamas, because 3 is one group of 9, and 3 × 2 = 6,  because she has twice the amount of lambs.

Billy has 2 lambs and 6 llamas.

Milly has 6 lambs and 3 llamas.

The amount of lambs is irrelevant to our final answer, so we can disregard them and do a final sum of 6 + 3 = 9, which gives us our answer.

Answer:

Billy: Has 4 lots of animals

Milly: Has 3 lots of animals

17 animals in total means that Billy must have 4 lots of 2 (8 animals) and Milly must have 3 lots of 3 (9 animals) So Billy has 6 llamas and Milly has 3, giving 9 llamas in total

Answer:

I think it's D because the line AC looks like it is splitting the rectangle in half. I think this is right since the angles are congruent. (Angle BAC and Angle ACD)

Answer:

segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI  

Step-by-step explanation:

In the picture attached, the triangles are shown.

After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG  and segment EI. More specifically:

Answer:

segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI  

Step-by-step explanation:

In the picture attached, the triangles are shown.

After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG  and segment EI. More specifically:

FG = 1/2*FI

FH = 1/2*FE

HG = 1/2*EI

This answer is right! took the test on FLVS and confirmed it :)

Answer:

1/5

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/ (x2-x1)

    = (3-2)/(4 - -1)

    (3-2) /( 4+1)

     1/5

Answer:

B. 1/5

Step-by-step explanation:

The slope can be found through two points.

m = rise/run

m = (y2 - y1)/(x2 - x1)

m = (3 - 2)/(4 - (- 1))

m = 1/(4+1)

m = 1/5

Th slope of the line going through the points  (-1, 2) and (4, 3) is 1/5.

Answer: $735.49

Step-by-step explanation:

Given, the price of 10 tolas gold bought from American market = $553

Custom duty charge = 20%

VAT = 13%

Custom duty charge = 20% of $553

= 0.20 x 553  [we divide a perecntage to convet it into decimal]

= $110.6

VAT = 13% of $553

= 0.13 x 553

= $71.89

Selling price = Original price +Custom duty charge  + VAT

=  $553+$110.6+ $71.89

= $735.49

Hence, it should be sold at $735.49 .

there are 53 children in the family gathering

Answer:

C = 53

Step-by-step explanation:

WHAT WE KNOW

m + w + c =100

2w - 2 = m

6 + w + m = c

-------------------------

FIND C

Answer:

0.43 is the answer

Step-by-step explanation:

you need to take the total of action movie and divide it by the grand total.

204/478 ≈ 0.43

The  probability that a randomly chosen person from this group an action movie is 0.43.

Probability refers to the idea that an event may or may not happen. The scenario described here is a mutually exclusive event. We must recall that in cases of a mutually exclusive event, we add probabilities.

Hence;

Probability of a male watching an action movie = 105/479

Probability of a female watching an action movie = 99/479

probability that a randomly chosen person from this group an action movie = 105/479 +  99/479 = 0.43

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Answer:

22

Step-by-step explanation:

In this sequence, the next number is found by adding 4.

Answer:

22

Step-by-step explanation:

10 - 6 = 4

so, all next numbers have to be added by 4

Answer:

The found values are:

A = 1/3

B = -8/3

Step-by-step explanation:

We know that general equation is given by:

y = mx + c

where m is the slope and c is a constant.

x + 3y = -5

y = -(1/3)x - 1/3(5)

Slop of the equation is -(1/3). As parallel line have same slope substitute it in the first equation:

Ax + By = 3

By = -Ax - 3

By = (1/3)x - 3

Hence, A = 1/3

Substitute point (-7,2) into the equation:

B(2) = (1/3)(-7) -3

B(2) = -7/3 - 3

B(2) = -16/3

B = -16/6

B = -8/3

Graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.

A system of equations is made up of two or more equations that are solved at the same time.

There are three ways to solve a system of equations:

In the question, we are asked which method for solving systems of equations is the least accurate and may only give an approximate answer.

We have discussed all methods above.

Of these methods, when solving manually, as the degree of the equation gets bigger and bigger, the graphing of equations will become difficult, and thus the graphing method will be the least accurate.

Thus, graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.

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Answer:

25:16

Step-by-step explanation:

i think its right

Answer:

0.894

Step-by-step explanation:

Data provided in the question

BC length = 17.89 unit

DC length = 16 unit.

Now, we have to compute the angle y with the help of the cosine function;

Cosine defines the ratio between the right angle adjacent side and the hypotenuse  

[tex]\cos = \frac{Adjacent side}{Hpotenuse}[/tex]

As per the triangle BDC;

Hypotenuse = BC =17.89 unit

And, the Adjacent side = 16 units

So;

[tex]\cos y =\frac{16}{17.89} =0.894354388[/tex]

[tex]y =\cos^{-1} (0.894354388) = 26.57^{\circ} (nearest\ to\ hundredths\ place)[/tex]

Now, determine the value of angle x

In right angle ΔABC;

As we know that

The three angles sum is 180 degrees

So,

[tex]\angle A + \angle B +\angle C =180^{\circ} ....(1)[/tex]

According to the given figure

[tex]\angle B=90^{\circ}, \angle A =x^{\circ}[/tex]

and

[tex]\angle C =y=26.57^{\circ}[/tex]

Now Substitute these in (1) for solving the angle x;

[tex]x^{\circ}+90^{\circ}+y^{\circ} =180^{\circ}[/tex]

or

[tex]x^{\circ}+90^{\circ}+26.57^{\circ} =180^{\circ}[/tex]

or

[tex]x^{\circ}+116.57^{\circ} =180^{\circ}[/tex]

[tex]x^{\circ}=180^{\circ} - 116.57^{\circ}=63.43^{\circ}[/tex]

Finally we have to determine the value of sin x;

Hence,

The value of [tex]\sin 63.43 =0.89438856[/tex]

or

= 0.894

Answer:

sin x = 0.894

Step-by-step explanation:

I hope you are refering to this figure:

Answer: 3

Step-by-step explanation:

This problem is looking for the Greatest Common Factor (GCF) of 6 and 15.

Draw a factor tree for each number and see what they have in common.

           Reg         Diet

               6              15

               ∧               ∧

            2   3           3  5

The GCF of 6 and 15 =  3

Each table will contain 2 cans of regular soda and 5 cans of diet soda.

Answer: B

Step-by-step explanation:

Makes the most sense out of all the options because it’s the most random or unpredictable

Answer:

Step-by-step explanation:

Volume = Length times width times height.

Here,

Volume = (4.5 in)(5 in)(3.75 in), which, when evaluated by calculator, comes out to 84.375 cubic inches.

This is equivalent to 84 3/8 cubic inches.

Answer:

[tex]84\frac{3}{8}in^3[/tex]

Step-by-step explanation:

V = L * W * H  

V = 4 1/2 * 5 * 3 3/4

V = 9/2 * 5/1 * 15/4

V = 675/8

V = 84 3/8

Answer:

(4, 7)     (8, 9)    

(2, 3)     (6, 5)

Step-by-step explanation:

The definition of a parallelogram is a quadrilateral that has two pairs of opposite equal length parallel sides, including equal opposite angle measurements

To simplify the task, we plot the  points on a graph paper for the parallelogram ABCD to get the following points;

B (4, 7)     A (8, 9)    

C (2, 3)     D (6, 5)

The length of the opposite sides AB and CD are;

Length AB = √((9 - 7)² + (8 - 4)²) = √20 = 2·√5

Length CD = √((3 - 5)² + (2 - 6)²) = √20 = 2·√5

The length of the opposite sides AC and BD are;

Length AD = √((9 - 5)² + (8 - 6)²) = √20 = 2·√5

Length BC = √((7 - 3)² + (4 - 2)²) = √20 = 2·√5

The slope of segment AB is (9 - 7)/(8 - 4) = 2/4 =1/2

The slope of segment CD is (5 - 3)/(6 - 2) = 2/4 =1/2

Therefore, since the slopes of segments AB and CD are equal, segments AB and CD are parallel

Similarly, we have;

For segment AD, slope = (9 - 5)/8 - 6) = 4/2 = 2

For segment BC, slope = (7 - 3)/4 - 2) = 4/2 = 2

Therefore, the slopes of segments AD and BC are equal, segments AC and BD are parallel.

Answer: 260

Step-by-step explanation: When we 200 times 130% we will get 260.