1 and 1/2 divided by 4 and 2/8​

The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.

If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.

In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.

Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.

Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.

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Complete Question:

Define triangle is ​△ABC​ similar to Similarity property and why?

Which triangle is ​△abc​ similar to and why? responses △abc is similar to △ghi by ​aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , ​, a a similarity postulate, ., △abc is similar to △jkl by ​aa similarity postulate​. triangle a b c, is similar to , triangle j k l, by , ​, a a similarity postulate, ​, . △abc is similar to △def by ​aa similarity postulate​. triangle a b c, is similar to , triangle d e f, by , ​, a a similarity postulate, ​, . ​△abc​ is not similar to any of the triangles given.

The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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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.

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Since, there are multiple questions so, the question answered above is attached below

Answer:

19

Step-by-step explanation:

Don't swear to god jeez

Answer:

19

Step-by-step explanation:

Unless you're referring to the vine, then 9+10= 19.

If you are referring to the vine of 9+10, then its 21

Answer:

try D

Step-by-step explanation:

Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

Answer:

\( \sqrt{32} + 3\)

\( - \sqrt{32} + 3\)

Step-by-step explanation:

Use foil method

\((y - 3) {}^{2} \)

\((y - 3)( y - 3)\)

First multiply y and y

\(y \times y = {y}^{2} \)

Next Multiply Outer term y and -3.

\(y \times - 3 = - 3y\)

After that ), Multily inner tern -3 and y

\( - 3 \times y = - 3y\)

Finally multiply -3 and -3 and you get 9.

Then combine all

\( {y}^{2} - 6y + 9 - 32 \)

\( {y}^{2} - 6y - 23\)

Now I'm going to complete the square. First get only the y value on the left side so we first set this equal to zero then move add 23 on both sides.

\( {y}^{2} - 6y - 23 = 0\)

Add 23

\(y {}^{2} - 6y = 23\)

Apply formula

\( (\frac{b}{2} ) {}^{2} \)

where b is the coefficient.

plug it in

\(( \frac{ - 6}{2}) {}^{2} \)

Which is -3 squared which equal 9.

Then add 9 on both sides

\( {y}^{2} - 6y + 9 = 23 + 9\)

23+9=32

Now let factor the left side

the only number that adds to -6 and multiply to 9 is

-3 so we would rewrite the left side as

\((x - 3) {}^{2} = 32\)

Now take the sqr root of 32

\( \sqrt{(x - 3) {}^{2} } = \sqrt{32} \)

Then add 3 on both sides

\(x + - 3 + 3 = \sqrt{32} + 3\)

A sqr root of a number can be positive or negative so

the answer is

\( - \sqrt{32} + 3\)

\( \sqrt{32} + 3\)

Answer:

122

Step-by-step explanation:

<HEB=180-(42+32)

=180-74

=106

<DEA=180-106 (straight line)

=74

<NAD=48+74(exterior angle = sum of 2 interior opposite angles)

<NAD=122

The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;

1. The area is about 15.16 units²

2. The coordinates of the points are;

(i) B(5, 8)

(ii) C(8.58, 4)

(ii) D(8,58, 1.21)

A quadrilateral is a four sided polygon.

1. The coordinate of the point C can be found as follows;

Let (x, y) represent the coordinates of the C, we get;

(x + 8)/2 = 5

x = 2 × 5 - 8 = 2

(y + 8)/2 = 6

y = 2 × 6 - 8 = 4

The coordinates ot the point C (2, 4)

The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)

Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)

The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13

CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;

(4 - y)/(2 - x) = -(5 - x)/(6 - y)

y - 4 = (-4/7)(x - 2)

y - 6 = (7/4)(x - 5)

(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6

x = (17/5) = 3.4

y = (7/4)((17/5) - 5) + 6 = 3.2

The coordinates of the point E is (3.4, 3.2)

The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)

Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)

Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)

Area of the figure is therefore;

2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))

y - 6 = (1/3)·(x + 1)

y = (1/3)·(x + 1) + 6

The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2

Slope of the segment BE = -1/(-1/2) = 2

Equation of BE is; y - 4 = 2·(x - 3)

y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6

Therefore, x = 5

y = (1/3)·(5 + 1) + 6 = 8

(ii) Area of the triangle EBC = 24 unit²

EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20

Therefore;

BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)

(x - 5)² + (y - 8)² = 28.8

y = 4, therefore;

(x - 5)² + (4 - 8)² = 28.8

(x - 5)² = 28.8 - (4 - 8)² = 12.8

x = √(12.8) + 5

(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)

x = √(12.8) + 5

Therefore;

y - 4 = (-1/2)((√(12.8) + 5) - 3)

y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21

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Answer:

a is the wrong answer

Step-by-step explanation:

the area of the circle is 40.8407 in^2

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

ANSWER and EXPLANATION

f) The y-intercept of a graph is the point where the graph touches/intersects the y-axis of the coordinate grid.

Therefore, the y-intercept for the given graph is:

g) The domain of a function is the set of all input values for which the function is valid. In other words, it is the set of all x-values of the function.

From the given graph, we have that the domain of the function is:

h) The range of a function is the set of all output values for which the function is valid. In other words, it is the set of all y-values of the function.

From the given graph, we have that the range of the function is:

That is the answer.

The complex numbers graphed on the plane are given as follows:

Complex numbers are number that are divided into a real part and an imaginary part, according to the definition given as follows:

z = a + bi.

In which:

On the complex plane, we have that:

As the number z1 has a horizontal coordinate of 3 and a vertical coordinate of 0, it is given as follows:

z1 = 3 + 0i.

As the number z2 has a horizontal coordinate of 0 and a vertical coordinate of -2, it is given as follows:

z2 = 0 - 2i.

As the number z3 has a horizontal coordinate of -2 and a vertical coordinate of 1, it is given as follows:

z3 = -2 + i.

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The option that shows that Wesley will save enough money for his vacation is D. Multiply 30 × 12 to get 360. Then divide 360 ÷ 7 to get 51 R3. Wesley will have $51 for each.day plus $3 left over.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this situation, Wesley wants to have at least $50 to spend each day of his 7-day vacation. He plans to save $30 each month for 12 months.

This will be illustrated thus:

(30 × 12) / 7

= 51 R 3

This shows that he'll have enough money. The correct option is D.

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Answer:

13.3 repeating

Step-by-step explanation:

Because

Answer:

i believe it is c

Step-by-step explanation:

but i cant see any points but ive done a question like  this

Answer:

i can see the problem

Step-by-step explanation:

Answer:

225  lo comprarían

Step-by-step explanation:

Para sacar el porcentaje se multiplica el numero por el porcentaje y dividir entre 100

37.5x600/100

37.5x 600= 22, 500

22,500/100= 225

225 lo comprarían

Answer:

To solve for m, we can cross-multiply the equation as follows:

−

1

3

=

1

�

3

−1

​

=

m

1

​

Multiplying both sides by m, we get:

−

�

3

=

1

−

3

m

​

=1

Multiplying both sides by -3, we get:

�

=

−

3

m=−3

Therefore, the solution is $m=-3$.

Step-by-step explanation:

Answer:

x = 66

Step-by-step explanation:

Shapes with four sides are always 360 degrees

x + x - 20 + x + 40 + 2x + 10 = 360

combine like terms

5x + 30 = 360

subtract 30 from both sides

5x = 330

divide 5 from both sides

x = 66

Answer:

Step-by-step explanation:

10 x 2=20 white chocolate

10+20=30 chocolates altogether

Answer:

5 times as many

BRAINLIEST, please!

Step-by-step explanation:

I'd need more information about how many students there are at one of the schools. For example, if there are 200 students at Park Elementary, then there are 1000 at Lane High School since 200 x 5 = 1000. 1000 - 200 is 800, so there would be 800 more students at Lane High.

The degree of the power function represented in the table f(x) is 2.

In order to find the degree of the power function represented in the given table, you must find the difference of the y-values.

The second difference is illustrated as:

2 - 6 = -4.

-2 - 2 = -4

-6 - (-2) = -4

This illustrates that the second differences are constant.

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What is the degree of the power function represented in the table?

1

2

3

4

x h(x)

−2 −8

−1 −2

0 0

1 −2

2 −8

It's 61/21. That's the answer.

The expected gain of this company by the policy that they have here is given as $77.

The stated probability about a person dying is given as 0.0023

This tells us that out of this 10000, the number of people that would die would be 10000*0.0023 = 23 persons

Out of these 23, each of the number that would get the $10000 form the company.

23 * 10000 = $230000

Amount of policy sold at unit price is $100 for 10000

= 100 * 10000

= $1000000

The net earning = 1000000 - 230000

= 770000

The total earning = 770000/10000

= $77

Hence the expected gain of this company is going to be $77.

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Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

.a^3-2a+3a^2+1\right)and\left(3-2a+a 2\ri

Step-by-step explanation:

pls brainliest

Answer:

the answer is 4a^2

Step-by-step explanation:

i just took the test

Answer:

there is no slope

Step-by-step explanation:

cause both x variables are the same

Answer:

10 5/12 cups of juice

Step-by-step explanation:

4 1/4 + 2 2/3 + 3 1/2

17/4 + 8/3 + 7/2

51/12 + 32/12 + 42/12

125/12

10 5/12