(90 POINTS) How can you find the length of RT using similarity? Explain your reasoning.

(90 POINTS) How Can You Find The Length Of RT Using Similarity? Explain Your Reasoning.

Answers

Answer 1

Answer:

RT = 26

Step-by-step explanation:

Based on the figure we can say :

ΔABC ~ ΔTSR (by SAS similarity)

Scale factor :

AB/SR = 12/24 = 1/2

Hence, as the proportions are the same :

CA/RT = 1/213/RT = 1/2RT = 13 x 2RT = 26
Answer 2

The triangle ABC and RST will be similar triangles. Then the length of RT will be 26 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

The triangle ABC and RST will be similar triangles.

RT / 13 = 24 / 12

      RT = 26

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Related Questions

PLEASE PLEASE I BEG YOU FOR HELP

Answers

Answer:

False

Ab is not perpendicular bisector to bc

Luke gets paid $13/hour. He got an
additional bonus of $50 for staying late one
day. He got paid $641.50 this month.
Write an equation, define your variable and
solve. How many hours did he work?

Answers

Answer: Luke spent 45.5 hours working

Step-by-step explanation:

let x = hours worked

[tex]641.5 = 13x + 50\\\\641.5-50 = 13x\\\\591.5 = 13x\\\\\frac{13x}{13}=\frac{591.5}{13} \\\\x=45.5[/tex]

We can conclude Luke spent 45.5 hours working

h will be our variable for “Hours”
(h multiply by 13) + 50 = 641.5
In order to find it, we have to switch some places
(641.5 -50) divided by 13 = h
591.5 / 13 = h
45.5 = H
So he works 45.5 hours, or 45 hour and 30 minutes

What are the coordinates of the image
of (-3, -7) after the translation
(x, y) - > (x-9, y + 9)?
F (-6, 16)
H (12, -2)
G (6, -16)
J (-12, 2)

Answers

here my Answer:)))))))

H (12, -2)

Find the values of y in the following figures

(Give your answers correct to 3 significant figures if necessary)

Answers

Answer:

A)6

Step-by-step explanation:

First we can create a second traingle  show in the picture so we figure out the base is 8 and hypotenuse is 10

so we use pythagerous

10^2-8^2=36

root of 36=6

Therefore x is 6 as they are the same height do to us knowing its a rectangle as it has 90 degree angles

Which of the following are true? Select all that apply.

1. 9 m = 9000 mm
2. 8 km = 8000 m
3. 10 cm = 100 mm
4. 890 cm = 8900 m
5. 2000 m = 20 km
6. 4 m = 40 cm

Answers

The following are true:

1. 9 m = 9000 mm

2. 8 km = 8000 m

3. 10 cm = 100 mm

What is unit conversion?

Unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.

1. 9m in mm

  1 m = 1000 mm

  9 m = 9000 mm

2. 8 Km in m

   1 Km = 1000 m

   8 Km = 8000 m

3. 10 cm in mm

    1 cm = 10 mm

    10 cm = 100 mm

4. 890 cm in m

   1 cm = 1/100 m

   890 cm = 8.9 m

5. 2000 m in Km

   i m = 1/1000 Km

   2000 m= 2 Km

6. 4 m in cm

    1 m = 100 cm

    4 m = 400 cm

From the above discussion (1), (2), (3) are true.

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Subtract and simplify. What is the restriction on x?
[tex]x\neq[/tex]

[tex]\frac{2}{x^2-25} - \frac{3x}{x^2-4x-5}[/tex]

Answers

[tex]\cfrac{2}{x^2-25}~~ - ~~\cfrac{3x}{x^2-4x-5}\implies \cfrac{2}{\underset{\textit{difference of squares}}{x^2-5^2}}~~ - ~~\cfrac{3x}{(x+1)(x-5)} \\\\\\ \cfrac{2}{(x-5)(x+5)}~~ - ~~\cfrac{3x}{(x+1)(x-5)}\implies \cfrac{(x+1)2~~ - ~~(x+5)3x}{\underset{\textit{using this LCD}}{(x+1)(x-5)(x+5)}} \\\\\\ \cfrac{2x+2-3x^2-15x}{(x+1)(x-5)(x+5)}\implies \cfrac{2-3x^2-13x}{(x+1)(x-5)(x+5)}\qquad x\ne -1,\pm 5[/tex]

why can't it be -1 or 5 or -5? if it ever does become that, the denominator will go poof and the fraction undefined.

please help ASAP

tthankyou
answer is below in attachment

Answers

Answer:

10, 13, 15.

Step-by-step explanation:

Solve all possible equations:

8 + 10 + 1 + 9 + 2Adding them all up we get:8 + 10= 18 + 1= 19 + 9= 28 + 2= 3030 < 40.

10 will be used for the next equation:

2nd equation:

10 + 12 + 1 + 13 + 2Solve:10 + 12= 22 + 1= 23 + 13= 36 + 2= 3838 < 40.

13 will be used for the final equation:

Final equation:

10 + 13 + 1 + 15 + 2= 10 + 13= 23 + 1= 24 + 15= 39 + 2= 41.41 > 40.The 3 digits are 10, 13, 15.

ethan sorts shapes into two groups as shown what mistakes does ethan make use the drop down menus to explain the mistakes ethan makes

Answers

Using the bottom rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.

How to spot mistakes?

The image showing the two groups is as shown in the brainly link attached at the end.

From the attached file in the brainly link, we see that the shapes are grouped using the following criteria:

All the shapes in group 1 have 4 square corners.All the shapes in group 2 have exactly 1 square corner.

Using the above rules, we can conclude that Ethan's mistakes are: shapes C and F are placed in the wrong groups.

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Find the surface area of the sphere. Use 3.14 for π. Round your answer to the nearest tenth.

Show work and explain it please.

Answers

[tex]s = 4\pi {r }^{2} [/tex]

13.6/2=6.8

4×3.14×(6.8×6.8)=580.7

4. Write 2 trinomials that when you add them together you will get 5x2 + 9x + 3.
Trinomial A


Trinomial B

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The two trinomial whose sum will get 5x²+9x+3, therefore, the trinomial will be,

Trinomial A = 3x²+5x+2

Trinomial B = 2x² + 4x + 1

Hence, The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.

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QUESTION ON THE IMAGE

Answers

Answer:

660 cubic cm

Step-by-step explanation:

Volume= bhl/2

According to the rational root theorem, negative seven-eighths is a potential rational root of which function? f(x) = 24x7 3x6 4x3 – x – 28 f(x) = 28x7 3x6 4x3 – x – 24 f(x) = 30x7 3x6 4x3 – x – 56 f(x) = 56x7 3x6 4x3 – x – 30

Answers

According to the rational root theorem, -7/8 is a potential rational root of: A. f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28.

What is a rational root theorem?

A rational root theorem is also referred to as rational root test and it states that when the coefficients of a polynomial are integers, all of the possible rational roots can be determined by dividing each factor of the constant term by each factor of the coefficient of the highest power (leading coefficient).

In Mathematics, the canonical form for a polynomial in one variable (x) is given by:

[tex]a_n x^n + a_{n-1} x^{n-1} +a_1 x^1 +a_0=0[/tex]

Therefore, the potential rational root of the above polynomial is ±factors of a₀ dividided by ±factors of [tex]a_n[/tex] i.e ([tex]\pm a_0/\pm a_n[/tex]).

For this exercise, -7/8 is a potential rational root of f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28 in accordance with rational root theorem;

Factors of the leading coefficient are: 24: ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.Factors of the constant term are: 28: ±1, ±2, ±4, ±7, ±14, ±28.Potential rational root is: ±7/8.

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I am in dire need. helpp

Answers

Times by x on each number and variable then add up

[SOLVED] The following data values are amperage outputs from electrical testing.

60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98

Use the drop-down menus to identify the key values.

What is the median? ✔ 64

What is Q1, the median of the lower half of the data? ✔ 61.5

What is Q3, the median of the upper half of the data? ✔ 71

What is the interquartile range, or Q3 – Q1? ✔ 9.5

Answers

The median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data:

60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98

The median = (63+65)/2 = 64

Q1 = (61+62)/2 = 61.5

Q2 = (70+72)/2= 71

Q3 - Q1 = 71 - 61.5 = 9.5

Thus, the median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5

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Answer:

Use the drop-down menus to identify the key values.

What is the median? ✔ 64

What is Q1, the median of the lower half of the data? ✔ 61.5

What is Q3, the median of the upper half of the data ✔ 71

What is the interquartile range, or Q3 – Q1? ✔ 9.5

Step-by-step explanation:

edge 2023

Brendon walsh wants to borrow $50,000 from the bank. the interest rate is 6% and the term is for 5 years.
what is the monthly payment amount?
o $3,000
o $10,600
o $600
$883.33

Answers

Brendon has to pay $1083.33 as monthly payment.

What is Interest ?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan.

This percentage is known as the interest rate on the loan.

Brendon walsh wants to borrow $50,000

P = $50,000

The interest rate is 6%

and the term is for 5 years

S.I. = (P*R*T)/100 = (50000*6*5)/100 = 15,000

AMOUNT = 50000+15000

Amount = $65000

This amount has to be paid in 5 years , Therefore

65000/5=13000

monthly 13000/12 = $1083.33

Brendon has to pay $1083.33 as monthly payment.

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help me PLEASE FIND THE VOLUME ​

Answers

Answer:

1. 519.75 cm^3

2. 19.22 cm^3

3. 613.6 cm^3

4. 1365.68 cm^3

Step-by-step explanation:

Hello again, similar to the other questions, these problems use the same formulas.

1. volume of a rectangular prism is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 4.5 x 7 x 16.5 and we get V = 519.75 cubic cm.

2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6.2 x 2 x 3.1 and we get V = 19.22 cubic cm

3. V = Bh, where B is the base area and h is the perpendicular height. Substitute known values into equation: V = 52(11.8). So, V = 613.6 cubic cm.

4. And again, V = Bh. Substitute given values into this equation: V = 79.4(17.2), which means V = 1365.68 cm^3

Fractional Area
What fraction of the square's total area
is shaded?

Answers

Answer:

7/32

Step-by-step explanation:

109, 94, 87, 103, 89, 112, 98, 115, 99 Find the minimum.
ANSWER ASAP PLEASE

Answers

Answer:

The minimum is 87

Step-by-step explanation:

The minimum is the lowest number that you can see. 87 is the minimum because it is the lowest of all numbers listed

Answer:

87

Step-by-step explanation:

Put them in order

87, 89, 94, 98, 99, 103, 109, 112, 115

Minimum = The least

The least = 87

Help me please it’s l haven’t learnt it

Answers

the horizontal axis is the bottom (____), the title is usually hiden in the task name

How do I turn this 10(0j + 40 + 4j) into a verbal expression?
I NEED HELP!!!!1

Answers

Answer:

See below

Step-by-step explanation:

You could say "10 times the sum of 0j, 40, and 4j" because that is exactly what you are doing in the algebraic expression.

A mining company is mining silver. The relationship between the mass of the material mined in metric tons and the number of carts required to transport the material is given by the function V(n) = 0.5n. Additionally, the relationship between the amount of silver and the material mined is given by the function G(V) = 0.00001V.
Which function can be used to determine the mass of silver in metric tons as a function of the number of carts required to transport the materials out of the mine?
A)G(V(n))
B)V(G(n))
C)n(G(V))
D)n(V(G))

Answers

Answer:

G(V(n))

Step-by-step explanation:

As V(n)=0.5n

Where V is carts and n is material

So vRn

And

G(v)=0.00001V

Where G is silver found and v is material

GRv

On combininf

GRv =>(G,v)€RVRn=>(v,n)€R

So as per transitive property

GRn=>( G,n)€R

R is relation

G is related to n

So G will stay outside and the relationship become GoV(n)

By about how many years did life expectancy increase in the us between 1960 and 2010? 7 years 17 years 27 years

Answers

Answer:

The closest answer would be 7 years

Step-by-step explanation:

In the '60s, the life expectancy was approximately 70 years, and in 2010 it was approximately 78.

Answer: answer would be 7 years

Step-by-step explanation:

just did it

Mitch is making a target for the beanbag toss at his school's fall fun-run and carnival. the target is a short round basket divided evenly into 4 sections. the player wins a prize for each section the beanbag lands in. there is 1 section that wins the player a rubber ball. there are 3 sections that win the player a teddy bear. what fraction of the target wins the player a teddy bear?

Answers

Answer:

3/4 is your fraction because 3 out of the four sections gives you the bear

Step-by-step explanation:

the quation is 8=z/6 please help me solve this algebraic equation......

Answers

Answer:

to find z

Step-by-step explanation:

8=z/6

z=6 x 8
z= 48

O
1) Complete the square to determine the maximum or minimum value of the function defined by the expression.
x² - 2x-5
A) minimum value at 1
B) minimum value at -6
C) minimum value at -1
D) maximum value at -6

Answers

the answer is B it’s because it have the same

Anyone please help me this I can't solve so I need help.༎ຶ‿༎ຶ waaaaaahhhhhh​

Answers

This is your answer. I keep hope it will help you

which grade are you studying

660 miles on 20 gallons or 850 miles on 25 gallons which is greater

Answers

The second. Hope that helps.

What is the volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth of a cubic meter?

Answers

The volume of a sphere with a radius of 39.6 m, rounded to the nearest tenth is 341416.9 cubic meters

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume, π is a constant with a value of approximately 3.14, and r is the radius of the sphere.

To find the volume of a sphere with a radius of 39.6 m, we can substitute this value into the formula and simplify:

V = (4/3)πr³

V = (4/3)π(39.6)³

V ≈ 341416.8 cubic meters

Since the question asks us to round to the nearest tenth of a cubic meter, we look at the digit in the hundredth place, which is 6 in this case. Since 6 is greater than or equal to 5, we round up the digit in the tenths place, which is 8. Therefore, the volume of the sphere rounded to the nearest tenth of a cubic meter is:

V ≈ 341416.8 cubic meters ≈ 341416.9 cubic meters

In summary, to find the volume of a sphere, we use the formula V = (4/3)πr³, where V is the volume, π is a constant, and r is the radius. We can then round the answer to the nearest tenth of a cubic meter by looking at the digit in the hundredth place and rounding up if the digit in the tenths place is 5 or greater.

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A
B
21
48°
6x-24
D
[?] << <[ ]
11
C

Answers

The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12

How to determine the range of value of x?

In the given figure, the side lengths AB and AD are equivalent.

This means that, we have the following angle relationship:

CAD < CAB

Substitute known values

6x - 24 < 48

Add 24 to both sides

6x < 72

Divide both sides by 6

x < 12

Also, we have the following angle relationship:

CAD > 0

Substitute known values

6x - 24 > 0

Add 24 to both sides

6x < 24

Divide both sides by 6

x < 4

This means that:

x < 4 and x < 12

Combine both inequalities

4 < x < 12

Hence, the inequality is 4 < x < 12

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( i will give brainlist ) please help is the following equation linear, quadratic, exponential or none of these?

Answers

Answer:

exponential

Step-by-step explanation:

It is exponential because the variable is in the exponent

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