How are similar triangles related to each other?

Answers

Answer 1

Answer:

The corresponding angles are congruent. The corresponding sides all have the same ratio.

Step-by-step explanation:

Congruent means the angles are equal to each other. There are three pairs of angles. "Matching angles" (not a mathematical term) will be the same/equal/congruent.

The sides would only be same/equal/congruent if the triangles were congruent. For similar triangles, you can find a ratio of sides like big/little or little/big and if you set up the ratios of the matching sides, the ratio will be the same for all three pairs of sides. See image for example.

How Are Similar Triangles Related To Each Other?

Related Questions

Keisha makes individual servings of nuts by dividing 4 1/2 cups of nuts into individualcup servingsHow many individual 3 8 . servings can Keisha make?Show work

Answers

Answer:

4 1/2 = 9/2

Dividing 9/2 by 3/8,

9/2 x 8/3 = 72/6 = 12

Therefore, Keisha made 12 individual servings.

.divide the problem.

Answers

Answer:

[tex]x - 2x - 15 \: divided \: by \: x - 3[/tex]

according to the above x²-2x-15 divided by the number below x-3 first I cancel out the x[tex]x - 2x - 15 \: divided \: by \: - 3[/tex]the we solve the next x-5 divided by x²-9 then as usual rule out the x[tex] - 5 \: divided \: by \: x - 9[/tex]now we only have x-2x-15 divided by-3 divided by-5÷x-9 now our next step is to again single the equations out [tex]x - 2x - 15 \: divided \: by \: - 3 \: lets \: rue \\s \: rule \: out \: - 3 \: and \: 15 \: giving \: us \: x - 2x - 5[/tex]now the next -5 divided by x-9 here there's nothing to rule out therefore the sign "÷" is changed to "×" cancel out the -5 and therefore we have [tex]x - 2x = x - 9 \: as \: final \: answer[/tex]

What is 18.5% of 500?
9.25
92.5
925
0.925

Answers

Answer:

92.5

Step-by-step explanation:

[tex]\frac{18.5}{100} = \frac{x}{500}[/tex]

cross multiply:

18.5 · 500 = 9250

100 · x = 100x

isolate x by dividing 100 from both sides:

x = 92.5

hope this helps!

18.5% × 500 = 92.5
Please mark as brainliest!

A bus travels two different routes: the Green Route and the Blue Route.
•On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.
• On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.
What is the length of the Green Route in miles?

Answers

Answer:4.5

Step-by-step explanation: Check the file for my explanation

Measuring the height of a tree is usually more difficult than measuring the diameter of the tree. Therefore, many researchers use regression models to predict the height of a tree from its diameter measured at 4 feet 6 inches from the ground. The following computer output shows the results of a linear regression based on the heights, in feet, and the diameters, in inches, recorded from 31 felled trees.

Estimate Std Error t-value Pr(>|t|)

Intercept 62. 031 4. 383 14. 15 0. 0000

Diameter 1. 054 0. 322 0. 2028 3. 27

Required:

What is a 95 percent confidence interval for the slope of the population regression line?

Answers

Measuring the height of a tree is usually more difficult than measuring the diameter of the tree, confidence interval for the slope is mathematically given as

C=(0.396, 1.712)

What is a 95 percent confidence interval for the slope of the population regression line?

Generally, the equation for the confidence interval is mathematically given as

[tex]C=\beta-tn-2, \alpha /2 (S.E)[/tex]

Where

[tex]\beta=1.054[/tex]

Therefore

C=(1.054-t29, 0.025*0.322)

C=(0.396, 1.712)

In conclusion, the 95 percent confidence interval is

C=(0.396, 1.712)

Answers

Answer:

The answer is on a picture⊙﹏⊙

Step-by-step explanation:

Have a great day✧◝(⁰▿⁰)◜✧

Use the regression calculator to compare the teams’ number of runs with their number of wins. a 2-column table with 9 rows. column 1 is labeled r with entries 808, 768, 655, 684, 637, 619, 613, 609, 563. column 2 is labeled w with entries 93, 94, 66, 81, 86, 75, 61, 69, 55. the equation of the trend line is

Answers

The equation of the trend line is ŷ = 0.15x - 23.21

How to determine the average rate of change of the trend line?

The points are given as:

hr =>808, 768, 655, 684, 637, 619, 613, 609, 563

w => 93, 94, 66, 81, 86, 75, 61, 69, 55.

Using a graphing calculator, we have the following calculation summary:

Sum of X = 5956Sum of Y = 680Mean X = 661.7778Mean Y = 75.5556Sum of squares (SSX) = 50569.5556Sum of products (SP) = 7547.1111

The regression equation is represented as:

ŷ = bX + a

Where:

b = SP/SSX

b = 7547.11/50569.56

b = 0.14924

a = MY - bMX

a = 75.56 - (0.15*661.78)

a = -23.20961

This gives

ŷ = 0.14924X - 23.20961

Approximate

ŷ = 0.15x - 23.21

Hence, the equation of the trend line is ŷ = 0.15x - 23.21

Answers

$68.15

P=Original price=145

D=Discount=53%

Sales=S

S=P-PD

S=145-(145×53%)

Üzer miyim ben çok güzel olmuş mu bir şey var ya bir

Which picture shows the inverse, f −1, of the function shown?

Domain: 8, 10, 12. Range: 6, 9, 3. 8 goes to 6; 10 goes to 9; 12 goes to 3.
CLEAR CHECK

Inverse of f. Domain: 8, 10, 12. Range: negative 6, negative 9, negative 3. 8 goes to negative 6; 10 goes to negative 9; 12 goes to negative 3.

Inverse of f. Domain: 6, 9, 3. Range: one-eighth, one-tenth, one-twelfth. 6 goes to one-eighth, 9 goes to one-tenth; 3 goes to one-twelfth.

Inverse of f. Domain: 8, 10, 12. Range: one-sixth, one-ninth, one-third. 8 goes to one-sixth; 10 goes to one-ninth; 12 goes to one-third.

Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.

Answers

Answer:

(d) Inverse of f. Domain: 6, 9, 3. Range: 8, 10, 12. 6 goes to 8; 9 goes to 10; 3 goes to 12.

Step-by-step explanation:

Apparently function f is defined by the ordered pairs (8, 6), (10, 9), (12, 3).

The inverse function will be defined by the ordered pairs with the input and output reversed:

(6, 8), (10, 9), (3, 12)

This seems to be described by the last answer choice.

The rectangles below have the same perimeter.

Answers

AS BASICALLY IF I TELL U THE CORRECT ANSWER OF ORANGE RECTANGLE IS16ML2

Answer:

16 mi squared

Step-by-step explanation:

Gray perimeter :16 (5,5,3,3)

Orange perimeter :16 (4,4,4,4)

Area of Gray :15 (5x3)

Area of Orange :16(4x4)

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Answer:

B x = 3, y= 3

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = 45°O = [tex]x[/tex]A = [tex]y[/tex]H = [tex]3\sqrt{2}[/tex]

[tex]\implies \sin(45^{\circ})=\dfrac{x}{3\sqrt{2}}[/tex]

[tex]\implies x=3\sqrt{2}\sin(45^{\circ})[/tex]

[tex]\implies x=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies x=\dfrac{3 \cdot 2}{2}=3[/tex]

[tex]\implies \cos(45^{\circ})=\dfrac{y}{3\sqrt{2}}[/tex]

[tex]\implies y=3\sqrt{2}\cos(45^{\circ})[/tex]

[tex]\implies y=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3\sqrt{2} \sqrt{2}}{2}[/tex]

[tex]\implies y=\dfrac{3 \cdot 2}{2}=3[/tex]

Please help me and you will get the brainiest answer.

Answers

Answer:

the right answer is c(5) . because the last digit of the second number is 2 . every number that its last digit is 2 squared , the last digit of the result will always be 4 . also , in every number that its last digit is five , the result will also always be 5 . so if the last digit of the first number is 5 this equasion is correct (because the last digit of the answer is 9 )(5+4)

hope that helped

4x + 9y - 9 = 0
y intercept =

Answers

(0,1), make into slope-intercept form, use the b value as y-int

What is the length of side PQ in this figure?

Answers

Answer:

[tex]\sqrt{52[/tex]

Step-by-step explanation:

hope it helps! im not completely sure but its the best answer!

Which function’s graph is shown below?

Answers

[tex]\bold{ANSWER:}[/tex]
y = sin x

[tex]\bold{GRAPH:}[/tex]

solve the system of linear equations by graphing
x+y=18
y=x+12

Answers

Answer:

it equals =204 y=12

A shopkeeper bought 30 pens for 150 and sold 20 of them for 140. Find his profit or loss percentage

Answers

Answer:

Because the cost price of 30 pens = Rs. 150

So, the cost price of 1 pen = 150/30 =5

so, the cost price of 20 pens =

Rs. 5 x 20 = 100

Cp is Rs. 100

Sp is Rs. 140

So, profit = 140-100 = Rs. 40

Profit % = (Profit x 100)xCp

=(40 x 100)/100

= 4000/100

= 40% profit

Step-by-step explanation:

Use the Fundamental Counting Principle to find the total number of possible outcomes.

Beverage
Size Small, Medium, Large
Flavor
Orange juice, Apple juice,

Lemonade, Milk

Answers

Answer:

There are 12 possible outcomes.

Step-by-step explanation:

For each of the three sizes of beverages, there are four flavors. So there are 3 * 4, or 12, possible outcomes.

Nikkita sold her old textbooks for $54 a piece. When she was done, she had $324, but she still had 8 textbooks left. How many textbooks did she start with?

Answers

Answer:

14 :D

Step-by-step explanation:

First we must divide!!

324/54 = 6

Now we add :)

6 + 8 = 14

Have an amazing day!!

Please rate and mark brainliest!!

Dennis drew the line of best fit on the scatter plot shown below:

What is the approximate equation of this line of best fit in slope-intercept form?
y = −15x + 2/3
y = -2/3 x + 15
y = −15x + 3/2
y = -3/2 x + 15

Answers

Answer:

4th option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = [tex]\frac{6-12}{6-2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]

the line crosses the y- axis at (0, 15 ) ⇒ c = 15

y = - [tex]\frac{3}{2}[/tex] x + 15 ← approximate equation of line of best fit

Please help me with this :)))))
If

Answers

Answer:

c) x = 20, angle COD = 70 °

Step-by-step explanation:

(x+50)° + 90° +20° = 180°

x + 160° = 180°

x = 180°- 160°

x = 20

Angle COD = (x+50)° = (20 +50)° = 70°

Hope this helps

A $35 item is marked down 25%. What is the new price?

Answers

Answer:

$26.25

Step-by-step explanation:

35*.25 is 8.75

35-8.75=$26.25

The Dolphins' hockey coach kept track of how many goals the team scored in the first half of their season.

Answers

Answer:

the median is 3 for your question

6.4r−7−2.9r simplified is

Answers

Answer:

3.7r -7

Step-by-step explanation:

Basically you would subtract 6.4 and 2.9 because there is a negative sign and they have the same variable. Then you would put it (2.9r)first since it is in order and you can't combine 7 and 2.9r so you leave it like that.

What is the solution to the inequality |2n +5| > 1?

Answers

Answer:

the answer is C

Step-by-step explanation:

I need help with 15.) 17.) and 19.) I have attached the answers I just need help with how to solve them

Answers

Answer:

Step-by-step explanation:

They are all solved kind of the same way. If the vertex of the angle is outside of the circle, subtract the intercepted arcs and divide by 2

for 15) one arc is marked but you can figure out the other arc because there are 360 degrees in a circle 360 - 102 = 258. So the two arcs are 102 degrees and 258 degrees.

some of the problems you can set up the equation and solve.

17) 63 = {(360-x) - x} /2 multiply by 2

126 = {(360-x) - x} combine like terms

126 = 360 - 2x subtract 360

-234 = -2x divide by -2

117 = x

? = 117 degrees

good luck

Amy works and is paid by the hour. Her sister Jo helps her work. As shown in the table identify the independent and dependent ( first gets some!)

Answers

Answer:

The dependent variable is Amy's pay

The independent variable is Jo's pay

Step-by-step explanation:

Depending on how much Amy gets paid, Jo gets 20% of it.

The graph of a function is a transformation of the graph of its parent function in which the graph is
vertically stretched by a factor of 2;
shifted left 3 units; and
shifted up 2 units.
write an equation for the function.

Answers

Answer:

f(x) = 2(x+3)+2

Step-by-step explanation:

At what rate per cent per annum will $400 yield an interest of $78 in 1 1/2 years?

Answers

Use language that's easy-to-understand. If there's a piece of vocabulary that you feel needs clarifying, define it! 23

Step-by-step explanation:

11. Write down three different whole numbers so that: • the median of the three numbers is 13, the range of the three numbers is 5.

Answers

Step-by-step explanation:

Let the numbers be a, b, c in ascending order.

Mean is 7, i.e. (a+b+c)/3 = 7 or a+b+c=21

Median(middle number) is 5, i.e. b=5

Range is 8, i.e. c-a=8 or c=8+a

Solving the above three equations simultaneously, we have

a+5+8+a=21

a=4, hence c=12

Therefore the three numbers are 4, 5 and 12

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