Suppose you have a triangle, and you want to construct a similar triangle. Which two
transformations will result in a triangle that is similar, but is not congruent?
Rotation and Reflection
Reflection and Translation
Reflection and Dilation
Translation and Rotation

Answer:

47

Step-by-step explanation:

If a number x < 0, |x| = -x, in this case, x = -47, therefore |-47| = -(-47) = 47.

Answer:

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

   [tex]y=a(x-b)^2+c[/tex]

and then, the line of symmetry will be the line x = b

Let's do it !

[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]

So the line of symmetry is

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Hey there! I'm happy to help!

First, we need to find 60% of 140. This is how many boxes she sold to the people her dad works with. 60% as a decimal is 0.6 (0.6 is 60% of 1, one represents the whole, or total).

0.6×140=84

We know that 1/4 of these had mint cookies. 1/4 is 25%, so let's find 25% of 84!

0.25×84=21

Therefore, Lauren sold 21 boxes of mint cookies to people her dad works with.

Have a wonderful day! :D

Answer:

The answer is C) 21

Step-by-step explanation:

I'm right, trust me :)

Answer:

The hikes ordered from the least to the greatest number of animals seen per kilometre

Canyon Creek < Wooded Marsh < Rivers Edge

2.33 < 2.50 < 2.67

Step-by-step explanation:

Question Properly written

You went on three hikes. On each hike, you saw a different number of animals:

Hike | Length of hike (km) | Number of animals seen

Rivers Edge | 3 | 8

Wooded Marsh | 8 | 20

Canyon Creek | 15 | 35

Order your hikes by number of animals seen per kilometer from least to greatest.

Solution

Number of animals seen per kilometre = (Number of animals seen) ÷ (Length of hike in kilometres)

Rivers Edge

Number of animals seen = 8

Length of hike in kilometres = 3

Number of animals seen per kilometre = (8/3) = 2.67

Wooded Marsh

Number of animals seen = 20

Length of hike in kilometres = 8

Number of animals seen per kilometre = (20/8) = 2.50

Canyon Creek

Number of animals seen = 35

Length of hike in kilometres = 15

Number of animals seen per kilometre = (35/15) = 2.33

Ordering the hikes by number of animals seen per kilometer from least to greatest.

2.33 < 2.50 < 2.67

Canyon Creek < Wooded Marsh < Rivers Edge

Hope this Helps!!!

Answer: The difference in the temperatures is 8° C colder between noon and 6 pm

Step-by-step explanation: To find the difference, subtract.

-12 -(-4) = -12 +4 = -8

Answer: - l x+1 l + 1   remember l is the absolute value sign.

Step-by-step explanation:

We need to know that this is an absolute value function graph. So looking at the graph we could see that is is shifted vertical or up  by 1 and it has been shifted to the left by 1 units and it also opens down.

So we could represent that by the equation.

y =  -l x +1 l +1  

Answer:

Option D

Step-by-step explanation:

=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written in the form of [tex]\frac{p}{q}[/tex] which is one of the most important characteristics of rational number.

=> The simplified form of [tex]\sqrt[3]{16}[/tex] is [tex]16 ^{1/3[/tex].

Answer:

[tex]\boxed{\sqrt[3]{16}}[/tex]

Step-by-step explanation:

Irrational numbers cannot be expressed as a fraction in the form [tex]\frac{p}{q}[/tex], where [tex]p[/tex] and [tex]q[/tex] are whole integers.

[tex]\sqrt{100} =10[/tex]

[tex]\frac{1}{8} = \frac{1}{8}[/tex]

[tex]-2.2675=\frac{-907}{400}[/tex]

[tex]\sqrt[3]{16} = 2.51984209979...[/tex]

Answer:

Fraction- 12/20 or 3/5

Percentage- 60%

Decimal-0.6

Step-by-step explanation: Add 8 and 12 together and that’s your denominator and top is 12 because those are many consonants there are. So the fraction is 12/ 20 an you can simplify it. Then you can change it into a decimal and percentage.

Answer:

Step-by-step explanation:

Spinner pointing to red, blue or yellow is equally likely:

P(blue) = P(yellow) = P(red) = 1/3.

In a perfect world, the spinner would land on blue (1/3)(150) = 50 times; on red 50 times and on yellow 50 times.

If in real life the spinner lands on yellow 44 times (C) is most reasonable, as that is closest to the ideal 50 times.

A) Lands on blue 60 times - Reasonable outcome.

B) Lands on red 120 times - Not reasonable.

C) Lands on yellow 90 times - Not reasonable.

D) Lands on yellow 44 times - Reasonable.

If the spinner has three colors (red, yellow, and blue) with equal areas, and we spin it 150 times, the reasonable outcomes would be:

A) Lands on blue 60 times - Reasonable since there is an equal chance of landing on each color, and 60 is a fraction of 150 that falls within the expected range.

B) Lands on red 120 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 120 is significantly higher than this expected value.

C) Lands on yellow 90 times - Not reasonable since the expected number of times for each color is 150 / 3 = 50, and 90 is significantly higher than this expected value.

D) Lands on yellow 44 times - Reasonable since there is an equal chance of landing on each color, and 44 is a fraction of 150 that falls within the expected range.

Therefore, the reasonable outcomes would be A) Lands on blue 60 times and D) Lands on yellow 44 times.

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Answer:

D. Can’t be determined

Step-by-step explanation:

There is no relationship.

Answer: can’t be determined

Step-by-step explanation:

Answer:

f(6) = 24

Step-by-step explanation:

Simply plug the value of 6 into the equation for x.

f(x) = x^2 - 2x

f(6) = (6)^2 - 2(6)

f(6) = 36 - 12

f(6) = 24

Answer: 24

Step-by-step explanation: you can say that 6=x Wichita in this case we would substitute x for 6

6²-2*6=36-12=24

Hope this helps!

Answer:

FG H(2) = F*G*H(2) = 0

Step-by-step explanation:

Your  F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2 requires a bit of guesswork for the reader to understand it.  I believe you meant:

F(x) = 2x - 4; G(X) = 3x + 2; H(x)=x2 Find FG H(2)

First find F(2):  f(2) = 2(2) - 4 = 0

Because this multiplicand is zero, further multiplication will result in zero also.  Thus, the final answer is zero (0).

Answer:

2.25

Step-by-step explanation:

x/1 = (9+x)/5

9 + x = 5x

9 = 4x

x = 2.25

Answer:

x = 9/4

Step-by-step explanation:

We know that the triangles are similar

We can use ratios to solve

x          x+9

----- = ----------------

1            5

Using cross products

5x = 1(x+9)

5x = x+9

Subtract x

5x-x = x+9-x

4x= 9

Divide by 4

4x/4 = 9/4

x = 9/4

Answer:

Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>

Step-by-step explanation:

Answer:

32 m

Step-by-step explanation:

The distance across the river is give as x and we are interested in finding the value of x.

Both the triangles are similar by AA Postulate.

Therefore,

20/x = 10/16 (by c.s.s.t.)

2/x = 1/16

x = 16*2

x = 32 m

Answer: 4

Step-by-step explanation:

Because the equation says at least 45, we know the sign is [tex]\leq[/tex].  Because she has already run 6 rounds, the equation must have + 6.

Hope it helps <3

Answer: $2.16

Lee watches TV 3 hours per day and TV consumes 200 watts.

Cost of electricity = 12 cents/(1-kilowatt-hour)

200w×3 hours

600 watt-hours

1000 watt-hours=1kwh

1 watt-hours= 1/1000 kwh

600 watt-hours 600/1000=0.6 kwh

0.6×12=7.2cents

1 day=7.2 cents

30 days

7.2×30

216 cents

$2.16

Answer:

The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.

Step-by-step explanation:

This problem ask us for the total cost associated with electricity consumption in a period of time. Hence, the total cost of energy is obtained by making appropriate conversions, that is:

Cost = Energy consumed x Time x Unit cost

[tex]C = (200\,W) \cdot (30\,days) \cdot \left(3\,\frac{h}{day} \right)\cdot \left(3600\,\frac{s}{h}\right) \cdot \left(\frac{1}{3600000} \,\frac{kWh}{J}\right)\cdot \left(0.12\,\frac{USD}{kWh} \right)[/tex]

[tex]C = 2.16\,USD[/tex]

The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.

Answer:

-8q +18

Step-by-step explanation:

-3 ( 2q -6) -2q

Distribute

-6q+18-2q

Combine like terms

-8q +18

Answer:

0.22

Step-by-step explanation:

2/9 as a decimal is 0.22222222

This number rounded off to its nearest hundredth is 0.22

Hope it helped

Answer:

[tex]\boxed{\sf 0.22}[/tex]

Step-by-step explanation:

[tex]\sf \frac{2}{9} =0.2222222222222222...[/tex]

[tex]\sf Round \ to \ nearest \ hundredth.[/tex]

[tex]\sf \frac{2}{9} \approx 0.22[/tex]

Answer:

18.75%

Step-by-step explanation:

(round answer if needed)

Answer: 18.75%

Step-by-step explanation:

divide 100 by 16

100/16=6.25

6.25x3=18.75

Answer:

Step-by-step explanation:

All School teachers

Answer:

All school teachers

Step-by-step explanation:

The other groups don't include teachers at all, so they definitely wouldn't be helpful for the survey that is only the teachers' preferences.

Answer:

6 units squared

Step-by-step explanation:

To solve this problem you can solve for the entire area of the square and subtract the area of the unfilled areas for the area of the shaded region..

Area of entire square is 4*4=16

Now for the sections that are unfilled:

4*3/2= 6

1*1/2= 0.5

2*1 = 2

1*1 = 0.5

2*1/2 = 1

Total area of Unfilled region = 6 + 0.5 + 2 + 0.5 +1 = 10

Area of filled region = 16 - 10 = 6 units squared

Hope this helped!

Answer:

x=25

Step-by-step explanation:

To find x (hypotenuse), it is a^2+b^2=c^2

24^2+7^2=625

[tex]\sqrt{625}[/tex]=25

x=25

Hope this helps!!

Answer:

Y=12x

If Y represents the Cost and X represents the number of books purchased.

WORD FORM:

Cost equals 12 times as many books that are purchased.

Answer:

the hypotenuse(b) is 50 if that helps

Step-by-step explanation:

a=40 & c=30 if you square these two numbers, add them and find the square root you get the hypotenuse(a^2+b^2=the square root of c^2)

Answer:

C. Team Y’s scores have a lower mean value.

Step-by-step explanation:

We are given that Two soccer teams play 8 games in their season. The number of goals each team scored per game is listed below:

Team X: 11, 3, 0, 0, 2, 0, 6, 4

Team Y: 4, 2, 0, 3, 2, 1, 6, 4

Firstly, we will calculate the mean, median, range and inter-quartile range for Team X;

Mean of Team X data is given by the following formula;

        Mean, [tex]\bar X[/tex] =  [tex]\frac{\sum X}{n}[/tex]

                       =  [tex]\frac{11+ 3+ 0+ 0+ 2+ 0+ 6+ 4}{8}[/tex]  =  [tex]\frac{26}{8}[/tex]  = 3.25

So, the mean of Team X's scores is 3.25.

Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.

Team X: 0, 0, 0, 2, 3, 4, 6, 11

                         Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                         Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations is even, i.e. n = 8.

So, Median =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{2+3}{2}[/tex]  = 2.5

So, the median of Team X's score is 2.5.

Now, the range is calculated as the difference between the highest and the lowest value in our data.

               Range = Highest value - Lowest value

                           = 11 - 0 = 11

So, the range of Team X's score is 11.

Now, the inter-quartile range of the data is given by;

        Inter-quartile range = [tex]Q_3-Q_1[/tex]

[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](2.25 )^{th} \text{ obs.}[/tex]

[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]

     =  0 + 0.25[0 - 0] = 0

[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](6.75 )^{th} \text{ obs.}[/tex]

[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]

     =  4 + 0.75[6 - 4] = 5.5

So, the inter-quartile range of Team X's score is (5.5 - 0) = 5.5.

Now, we will calculate the mean, median, range and inter-quartile range for Team Y;

Mean of Team Y data is given by the following formula;

        Mean, [tex]\bar Y[/tex] =  [tex]\frac{\sum Y}{n}[/tex]

                       =  [tex]\frac{4+ 2+ 0+ 3+ 2+ 1+ 6+ 4}{8}[/tex]  =  [tex]\frac{22}{8}[/tex]  = 2.75

So, the mean of Team Y's scores is 2.75.

Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.

Team Y: 0, 1, 2, 2, 3, 4, 4, 6

                         Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                         Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations is even, i.e. n = 8.

So, Median =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{2+3}{2}[/tex]  = 2.5

So, the median of Team Y's score is 2.5.

Now, the range is calculated as the difference between the highest and the lowest value in our data.

               Range = Highest value - Lowest value

                           = 6 - 0 = 6

So, the range of Team Y's score is 6.

Now, the inter-quartile range of the data is given by;

        Inter-quartile range = [tex]Q_3-Q_1[/tex]

[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](2.25 )^{th} \text{ obs.}[/tex]

[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]

     =  1 + 0.25[2 - 1] = 1.25

[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](6.75 )^{th} \text{ obs.}[/tex]

[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]

     =  4 + 0.75[4 - 4] = 4

So, the inter-quartile range of Team Y's score is (4 - 1.25) = 2.75.

Hence, the correct statement is:

C. Team Y’s scores have a lower mean value.

Answer:

8 ft

Step-by-step explanation:

Use pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]. Put 10 and 6 into the equation as b and c.

[tex]a^{2}+6^{2}=10^{2}[/tex]

[tex]a^{2} =100-36\\a^{2}=64\\a=8[/tex]

Therefore, the answer is 8ft.

A diagram is attached. Sorry it's kinda messy.

Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The height of the window from the ground or the base of the building is 8 feet.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the length of the ladder is 10 feet, while the distance between the base of the ladder and the building is 6 feet. Therefore, the height of the window from the base is,

(Length of the ladder)² = (Length between the two)² + (Height)²

(10 feet)² = (6 feet)² + (Height)²

(Height)² = 100 - 36

Height = 8 feet

hence, the height of the window from the ground or the base of the building is 8 feet.

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Answer:

97,531+86,420=183,951

Step-by-step explanation:

Answer:

183,951

Step-by-step explanation:

Each of the 5 digit numbers would have to start with the two largest digits (9&8).  The next two digits would have to be the next two largest digits (7&6).  Continuing that pattern, we get:

97531+86420=183,951

Answer:

A.) Option C

B.) Option A

Step-by-step explanation:

A.) Rita is delivering a pizza to Mark's house. We will assume she is starting from rest as She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes. On the graph, the line will be horizontal as she stop for some time.

After, she starts up again and drives at a faster speed than before. The slope of the latter will be greater than the former.

Since the graph is distance - time graph, the best graphical representation for this illustration is C

B.) The is a speed - time graph.

At constant speed, the graphical line will be horizontal. As Chau speed up, that means he accelerated and increased the speed. The slope of the line will be positive. And finally, as he slow down, the car will be decelerating. The slope of the graph will be negative.

The correct graphical representation for this illustration is A

Answer:

16 lollipops

Step-by-step explanation:

4 is 1/4 so multiply 4 by 4