what is the answer to (-5/6) x (-2 1/2) ?

Answers

Answer 1

Answer:

25/12 or 2 1/12

Step-by-step explanation:

Hope this help, work is in the picture :)

What Is The Answer To (-5/6) X (-2 1/2) ?

Related Questions

hi! i’ll mark brainlest to whoever answers this question first :(

hi! ill mark brainlest to whoever answers this question first :(

Answers

Answer:

no one likes u

Step-by-step explanation:

) Quantifier negation.
Form the negation of the following statements. Then apply De Morgan’s law and/or conditional law, when
applicable. Negation should appear only within predicates, i.e., no negation should be outside a quantifier
or an expression involving logical connectives. Show all steps.
a) ∀x (P(x) ∧ R(x))
b) ∀y∃z(¬P(y) → Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Answers

The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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a new social media sit is increasing its user base by approximately 4% per month. If the site currently has 35.930 users, what will the approximate user base be 10 months from now?

Answers

Answer:

The approximate user base of the social media site 10 months from now would be approximately 52,374.

Step-by-step explanation:

To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:

1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04

2. Apply the growth factor to the current user base for each month:

  Month 1: 35,930 * 1.04 = 37,387.2 (approx.)

  Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)

  ...

  Month 10: Previous Month * 1.04

By repeating this calculation for each month, we can determine the approximate user base 10 months from now.

Month 1: 37,387.2

Month 2: 38,868.49

Month 3: 40,391.33

Month 4: 41,957.61

Month 5: 43,569.34

Month 6: 45,228.24

Month 7: 46,936.32

Month 8: 48,695.44

Month 9: 50,507.45

Month 10: 52,374.40 (approx.)

Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.

how do we get 24 using 3,3,7 and7​

Answers

Answer:

2 Answers. #1. +11. [3+(3/7)] times 7 is 24. DarkBlaze347 May 1, 2015. +5. Good job, DB! civonamzuk May 1, 2015.

35 Online Users.

Step-by-step explanation:

brainliest please and follow:D

3+(3*7)
3*7=21
21+3=24

160=4•9•4+2•8•HSolve for H

Answers

H=1

1) Let's solve for H in this expression:

\(\begin{gathered} 160=4\cdot9\cdot4+2\cdot8\cdot H \\ 160=144+16H \\ 160-144=16H+144-144 \\ 16=16H \\ \frac{16}{16}=\frac{16H}{16} \\ H=1 \end{gathered}\)

Note that we multiplied, those factors and then isolated H on one side.

2) Hence, the answer is H=1

the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest

Answers

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

Please help me important quePlease help me important question in image

stion in image

Please help me important question in image

Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

MARK AS BRAINLIEST!!!

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 1

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 1

Answers

Answer:

864 squared

Step-by-step explanation:

Answer:

This is a right angle triangle so

\( {hyp}^{2} = {opp}^{2} + {adj}^{2} \)

\( {42}^{2} = a {}^{2} + 30 {}^{2} \\ 1764 = a {}^{2} + 900 \\ {a }^{2} = 1764 - 900 \\ a { }^{2} = 864 \\ a = \sqrt{864 } \\ a = 29.39\)

What is the input value other than 0 for which f (x) = -2?

Answers

Answer:-3

Step-by-step explanation:

If Daniela graphed the function describing Mondays storm she would find that it is

Answers

Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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how many integers between 2023 and 5757 have 12, 20, and 28 as factors

Answers

Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

100 Points! Expand (2d+3)^6. Please show as much work as possible. Thank you! Photo attached.

100 Points! Expand (2d+3)^6. Please show as much work as possible. Thank you! Photo attached.

Answers

The expansion will be 64d^6 + 1152d^5 + 9720d^4 + 43740d^3 + 98415d^2 + 145458d + 729

How to expand the value

We can expand (2d+3)^6 using the binomial theorem, which states that:

(a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nCn-1 * a^1 * b^(n-1) + nCn * a^0 * b^n

where nCk is the binomial coefficient, given by:

nCk = n! / (k! * (n-k)!)

Expanding (2d+3)^6 using this formula, we get:

(2d+3)^6 = 6C0 * (2d)^6 * 3^0 + 6C1 * (2d)^5 * 3^1 + 6C2 * (2d)^4 * 3^2 + 6C3 * (2d)^3 * 3^3 + 6C4 * (2d)^2 * 3^4 + 6C5 * (2d)^1 * 3^5 + 6C6 * (2d)^0 * 3^6

Simplifying each term using the binomial coefficient formula, we get:

(2d+3)^6 = 1 * 64d^6 * 1 + 6 * 32d^5 * 3 + 15 * 16d^4 * 9 + 20 * 8d^3 * 27 + 15 * 4d^2 * 81 + 6 * 2d * 243 + 1 * 1 * 729

Simplifying each term further, we get:

(2d+3)^6 = 64d^6 + 1152d^5 + 9720d^4 + 43740d^3 + 98415d^2 + 145458d + 729

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help plsss
rotate tuv 90 degrees clockwise around the origin






help plsssrotate tuv 90 degrees clockwise around the origin

Answers

Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)

Step-by-step explanation:

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Consider this dilation.



(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain and show your work.

ANSWER BOTH PARTS YOU MAY GET EXTRA POINTS!

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPConsider this dilation.(a) Is the image of the dilation a reduction

Answers

Step-by-step explanation:

1) if the initial figure ABCD, then the figure A'B'C'D' is reduction of the initial one.

2) the scale factor is 0.5: the ratio of all the corresponded coordinates is 2:1 [D(8;4) - D'(4;2); C(4;0)-C'(2;0); B(0;-2)-B'(0;-1) and A(-4;4)-A'(-2;2)].

Mark the quadrilaterals ABcD and A'B'C'D'

The image is reduced in size hence it's reduction

Take 2 sides two calculate scale factor

AD=12unitsA'D'=6units

Scale factor:-

6/121/2

I solved this quadratic using the square root property. I did it 2 ways but I am not sure which one is correct.

I solved this quadratic using the square root property. I did it 2 ways but I am not sure which one is

Answers

Answer:

it's your second answer: )

Answer:

the one on the right

Step-by-step explanation:

:) s s

PLZ HELP
WILL GUVE BRAINLIEST IF CORRECT

PLZ HELPWILL GUVE BRAINLIEST IF CORRECT

Answers

Answer:

the answer is A

Step-by-step explanation:

so the numbers are just a fill in but yes the answer is A

The general form of the equation of a circle is a X squared plus BY squared plus 3X plus 3Y plus Z equals zero wear a equals B does not equal zero is the circle has a radius of three units in the center lies on the Y axis, which set of values of a B C,D and E my correspond to the circle

Answers

The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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ASAP please help me I need this quick
The question and answers are in the picture

ASAP please help me I need this quick The question and answers are in the picture

Answers

Answer:

25

Step-by-step explanation:

maybe this will help you

Answer:

C. 125 cm^3

Step-by-step explanation:

Hope this helps!! Brainliest please :)

A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.

A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.

Answers

the answer is: FE ~ QS
- the last one is your answer, you can use the small lines on the side of triangle to help you know which ones match with each other

in exercises 11 and 12, determine if b is a linear combination of subscript[a, 1], subscript[a, 2], and subscript[a, 3].

Answers

Yes b can be written as linear combination of 3 vectors

What is linear combination of vector?

A linear combination of vectors is a sum of scaled vectors, where the scaling factors are scalars. In other words, it's a linear combination of the form a_1v_1 + a_2v_2 + ... + a_n*v_n, where v_1, v_2, ..., v_n are vectors and a_1, a_2, ..., a_n are scalars. This is a fundamental concept in linear algebra and vector spaces and is used in many areas of mathematics and physics.

if b is linear combination of \(a_1,a_2,a_3\)

then \(xa_1+ya_2+za_3=b\)

from here we got :

x+5z = 2

-2x+y-6z = -1

2y + 8z = 6

after solving the above equation we get the solution as

{x,y,x} = {2,3,0} is a solution to the above equation so b is a linear combination of \(a_1,a_2,a_3\)

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Complete question:

determine if b is a linear combination of \(a_1,a_2,a_3\)

\(a_1\) = \(\left[\begin{array}{ccc}1\\-2\\0\end{array}\right]\)      , \(a_2 = \left[\begin{array}{ccc}0\\1\\2\end{array}\right]\)   , \(a_3 = \left[\begin{array}{ccc}5\\-6\\8\end{array}\right]\) ,  b= \(\left[\begin{array}{ccc}2\\-1\\6\end{array}\right]\)

Find the place value of 7 in 374596

Answers

Answer:

It is tens

Step-by-step explanation:

3 » ones

\({ \boxed{ \sf{7 \: » \: tens}}}\)

4 » hundreds

5 » thousands

9 » ten thousands

6 » hundred thousands

which number line shows the solution to x + 8 > 15

which number line shows the solution to x + 8 > 15

Answers

7 is not included and hence it is depicted on the number line using an open dot. Hence, solution to the inequality is option B.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

The given inequality is:

x + 8 > 15

Subtracting 8 on both sides of the equation:

x + 8 - 8 > 15 - 8

x > 7

Here, 7 is not included and hence it is depicted using an open dot.

Hence, option B is the correct answer.

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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue

Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer

Answers

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

The distance from Earth to the sun is about 9.3 × 107 miles. The distance from Jupiter to the sun is about 4.84 × 108 miles. How much closer is the Earth to the sun than Jupiter to the sun?

Answers

The earth is 3.91×10^8 miles closer to the sun than jupiter

What is distance?

Distance is the space or gap between two points or bodies. It is a scalar quantity and measured in cm, m, km, miles e.t.c

The distance between the earth and the is 9.3×10^7 miles and the distance of Jupiter from the sun is 4.84×10^8 . This shows that the earth is closer to sun than Jupiter.

The dimension of how closer the earth is to the sun than Jupiter is therefore

( 4.84×10^8)-(9.3×10^7)= 3.91×10^8 miles

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PLS HELP FOR REAL!!! WHAT IS THE ANSWER FOR THE 2nd ONE!! I NEED AN EXPLANATION AND ANSWER FOR IT! HUGE POINTS IF ANSWER!

PLS HELP FOR REAL!!! WHAT IS THE ANSWER FOR THE 2nd ONE!! I NEED AN EXPLANATION AND ANSWER FOR IT! HUGE

Answers

Answer:

76ft^3

Step-by-step explanation:

Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3

The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height(y), in mm, to which it grows:
Y=2+4x
What does the y- intercept of this function represent?

The function below models the correlation between the number of hours a plant is kept in sunlight (x)

Answers

the original height of the plant was 2mm. The correct option is the second one.

What does the y-intercept of the function represent?

We know that the function:

y = 2 + 4x

Represents the height of a plant in mm, as a function of x, the hours kepts in sunlight.

The y-intercept is the value that y takes when we evaluate in x = 0.

So, the y-intercept is the height of the plant when it is exposed to zero hours of light.

In this case:

y = 2 + 4*x

Evaluating in x = 0

y = 2 + 4*0 = 2

This means that the original height of the plant was 2mm. The correct option is the second one.

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A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time. After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments. Which statements about this study are true?
1. This study uses blocking.
2. This study uses blinding.
3. This study uses a control group.
4. This study uses a repeated measures design.
5. This study uses random sampling.

Answers

This study uses blocking: True. The study randomly assigns each child to one of the four treatment groups, which helps to control for individual differences that could affect the results.

This study uses blinding: It is not mentioned in the scenario whether the study uses blinding or not in individual.

This study uses a control group: True. The first group, with no screen time, serves as the control group. By comparing the results of the other groups to the control group, the scientists can see the effects of different amounts of screen time.

This study uses a repeated measures design: True. Each subject experiences each of the four treatments, so the study design is repeated measures.

This study uses random sampling: True. The study randomly selects group of 100 children for the experiment.

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A piece of wire 30 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.
(a) How much wire should be used for the square in order to maximize the total area?m
(b) How much wire should be used for the square in order to minimize the total area? m

Answers

The length of wire used for the square in order to minimize the total area is 9.42m.

We are given that;

Length of wire= 30m

Now

Let the length of the wire used for the square x. The length of the wire used for the circle is 30-x.

The perimeter of the square is 4x and the perimeter of the circle is 2πr=2π(30-x)/(2π)=15-x/π.

The area of the square is \(x^2/16\) and

the area of the circle is π(15-x/π)2/4π=225/π-(15x)/π2+\(x^2\)/4π.

The total area is A=x2/16+225/π-(15x)/π2+\(x^2\)/4π.

To maximize A, we take its derivative with respect to x and set it equal to zero: d\(A/dx=x/8-15/π^2+1/(4π)(x)=0\)

Solving for x, we get x=120/(8+4π).

Therefore, 30-x=120/(8+4π)(3-π).

To minimize A, we take its derivative with respect to x and set it equal to zero:

\(dA/dx=x/8-15/π^2+1/(4π)(x)=0\)

Solving for x, we get x=120/(8+4π)(3+π).

So, 30-x=120/(8+4π)(3-π).

Therefore, by area the answer will be approximately 9.42 m.

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Find the distance between (-13, -3.5) and (17, 2)

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Distance = 30.5

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Please help me with this, it’s due today!

Please help me with this, its due today!

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Answer:

hello i am new to brainly. i am new to this app im just trynna figure this app

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the answer for these questions

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The triangles are similar by SSS congruence of triangles.

What is SSS congruence of triangles?

The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.

We are given two triangle ABC and PQR.

In order to see whether these are similar or not, we will use the SSS congruence of triangles.

The ratio of sides are:

⇒AB : PQ = 8 : 6

⇒AB : PQ = 4 : 3

Similarly,

⇒BC : QR = 12 : 9

⇒BC : QR = 4 : 3

Similarly,

⇒AC : PR = 12 : 9

⇒AC : PR = 4 : 3

Since, the ratio of all the sides is same so, the triangles are similar.

Hence, the triangles are similar by SSS congruence of triangles.

Learn more about SSS congruence from the given link

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