How do you enlarge a triangle by a scale factor of 3?

Answers

Answer 1

To enlarge a triangle by a scale factor of 3 we divide the longer side by the short side. 6 ÷ 2 = 3 and so, the scale factor is 3.

What is a scale factor?

A scale factor is a numerical value that is used to represent an object's larger or shrunk shape. It is a number that can be used to alter the size of any geometric figure or shape in relation to its initial size. It aids in adjusting the figure's size.

Here,

We have to determine how can we enlarge a triangle by a scale factor of 3.

We concluded that

To find the scale factor of enlargement, divide the longer side by the short side. 6 ÷ 2 = 3 and so, the scale factor is 3.

This means that all of the sides on the smaller shape have been multiplied by 3. It also means that all of the sides on the larger shape can be divided by 3 to make the smaller shape.

Hence, to enlarge a triangle by a scale factor of 3 we divide the longer side by the short side. 6 ÷ 2 = 3 and so, the scale factor is 3.

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Related Questions

The student council is selling carnations for Valentine's Day. Two different shops can provide these flowers. . Gracie's Flowers charges a $5.00 fee per order plus $0.75 per carnation Ben's Blooms charges a $10.00 fee per order plus $0.25 per carnation for an order. Gracie tells you the equation that would work with her shop: Using c to represent the total cost for an order of carnations and n to represent the number of carnations in the order, her equation is c=0.75n + 5.00 Ben is not sure how to write the equation for his shop. Fill in the following blanks to help him: C = nt​

Answers

9514 1404 393

Answer:

  c = 0.25n +10.00

Step-by-step explanation:

The form of the equation is ...

  c = <cost per carnation>n + <fixed fee>

For Ben's shop, the equation would be ...

  c = 0.25n + 10.00

Classify the real numbers as rational or irrational numbers.

Answers

Answer:

omg I'm working on this one too and I cant figure it out did you ever get the answer I can t find it anywhere and I'm not sure what it is all I have is 400 is rational

Step-by-step explanation:

Rational numbers

-5/250

[tex]\sqrt{400}[/tex]

irrational numbers

5.01212121212....

[tex]\sqrt{1,000}[/tex]

[tex]\sqrt[3]{30}[/tex]

0.01562138411....

Step-by-step explanation:

sorry i answered late

three times the cost is 24$.

Answers

Answer:

72

Step-by-step explanation:

24 x 3 = 72

20 x 3 = 60

4 x 3 = 12

60+12= 72

You are going on an expedition to dig for dinosaur fossils. In digging you come across a small trunk left by another archeologist. In the trunk is a paper that lists how deep you need to dig to reach dinosaur fossils. Unfortunately, something spilled on part of the paper and it is damaged.
Using your knowledge of mathematics, find the missing numbers in the
chart. Write a generalization or rule to determine any number of feet you
must dig given the number of years.

If the Jurassic period was 200 million years ago, how deep would you need
to dig at this location to uncover fossils of that era? Explain why your
answer is or is not reasonable.

Answers

Answer:

200,000 feet to dig

Step-by-step explanation:

We use a ratio for this problem

30,000         200,000,000

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

30                        x

200,000,000 * 30

----------------------------  = 200,000 feet to dig

30,000

This answer is reasonable because 200,000,000 years ago was a long time ago so then the person must dig a reasonable amount of dirt. So then 200,000 feet is reasonable.

Verify that the given segments are parallel.

Answers

Answer:

Step-by-step explanation:

M and N and QR

A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level. What is the distance between the heights of the pelican and the heron
A.67 feet
B. -67
C. 33
D.-33

Answers

Answer:

Its C

Step-by-step explanation:

Prove: 12. Given: BC || EF, ZBEFE ZDCG Prove: AB 11 DC 11. Given: m BCD + m.ZBEF= 180°, AB || DC Prove: BC || EF B C 5. F E​

Answers

Answer:1. Given: mx1 = 101°, m.25 = 101°. Prove:/ || n . 1. 11. given. <1=1019. (5=101. 2. <1 2 <5 ... 2. Given: 48 = 22. Prove:1 ||n. 1. <. 8722. Il given. J. Ext. 87. 2. elin. 12. alt.int ks form / ... Prove: BC || EF. - ll lines. 1. <BCD + <BEF=180' 11. Diven. ABII DC. 2. ... 6. Given: BC || EF, ZBEFE ZDCG lunes a. Prove: AB || DC. 1. B C ll EF.

Step-by-step explanation:

A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
price of $30 each. Find the percent markup.
The percent markun ico


please help

Answers

Number of shirts a department store bought = 200

Cost price of 200 shirts = $5400

Cost price of 1 shirt :

[tex] =\tt \frac{5400}{200} [/tex]

[tex]\color{plum} =\tt \$27[/tex]

Thus, the cost price of one shirt = $27

Price at which the department store sold each shirt = $30

Which means :

▪︎Cost price of shirt = $27

▪︎Selling price of shrit = $30

Since selling price is greater than cost price, there was a markup in the price of the shirts.

We know that :

[tex] \color{hotpink}\tt \: markup \: percentage = \color{plum} \frac{selling \: price - cost \: price}{cost \: price } \times 100[/tex]

Markup percentage in the price of the shirts :

[tex] = \tt \frac{30 - 27}{27} \times 100[/tex]

[tex] = \tt \frac{3}{27} \times 100[/tex]

[tex] = \tt \frac{3 \times 100}{27} [/tex]

[tex] = \tt \frac{300}{27} [/tex]

[tex] \color{plum} = \tt11.1 \%[/tex]

Thus, the percentage of markup = [tex] \tt 11.1 \% [/tex]

Therefore, the percentage of markup in the shirt's price = [tex] \color{hotpink} \tt11.1 \% [/tex]

Answer:

11.11%

so mark me as brainlist

Need help ASAP I’m on an exam there is a timer

Thankss + BRAINLIST only for correct answer
(question in the picture )

Answers

Answer:

it should be D

Step-by-step explanation:

Because shes going back home.

1) Today's temperature will be at least 55°, but not more than 65º. Write and graph an inequality to show this situation.​

Answers

Answer:

[tex]55 \leqslant x < 65 [/tex]

Write an integer for this situation: 5 feet below sea level

Answers

Answer: -5

Explanation: Numbers above 1 sea level will always be positive. Numbers under 0 sea level are negative

So is 0.147 a rational number?

Answers

Answer:

Yes because it is a terminating decimal.

Step-by-step explanation:

15 POINTS! PLEASE HELP ASAP! WILL GIVE BRAINLIEST!

Answers

2nd question is 1,3,2,4

AB, BC and CD are three sides of a regular polygon with centre o.
ABX is a straight line.
Angle BCD = 140°
0 Calculate the size of each of the angles marked v, w, x, y and z.


Pls help 10 points

Answers

Answer:

Step-by-step explanation:

Since, BC and DC are the sides of a regular polygon,

m(DC) = m(BC)

Opposite angles of these equal sides will be equal in measure.

m∠DBC = m∠CDB = v

By triangle sum theorem,

m∠DBC + m∠CDB + m∠DCB = 180°

v + v + 140° = 180°

2v = 40°

v = 20°

Since angle 'x' is an exterior angles of ΔBCD,

x = m∠BDC + m∠CBD [By the property of exterior angles]

x = v + v

x = 40°

Since, angles v, w and x are the linear angles,

v + w + x = 180°

20° + w + 40° = 180°

w = 120°

Since, measure of exterior angle = [tex]\frac{360}{n}[/tex]

n = Number of sides

40° = [tex]\frac{360}{n}[/tex]

n = 9

Sum of angles formed at the center by joining vertices of the polygon = 360°

Measure of each angle at the center of a polygon with 9 sides = [tex]\frac{360}{9}[/tex]

= 40°

Since, z = 3 × (Measure of central angle formed at the center)

             = 3 × 40°

             = 120°

In ΔOAB,

m∠OAB + m∠OBA + m∠AOB = 180°

y + y + 40° = 180° [m∠OAB = m∠OBA, Opposite angles of the equal sides OA and OB]

2y = 140°

y = 70°

The measure of an angle is 89. Find the measure of its supplement

Answers

Step-by-step explanation:

Supplementary angles are equal to 180°. To determine the supplement of any angle, subtract the given angle from 180°.

[tex] \text{Supplement \: of \: 89 \: \degree = 180 \degree - 89\degree = \boxed{ \bold{ \text{91\degree}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

# [tex] { \underbrace{ \text{Carry \: On \: Learning}}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Please answer this question with a complete answer

Answers

Answer:

true, false, true

Step-by-step explanation:

first one:

|-3.17|=3.17

-3.17 cannot be negative away, so it must be positive.

second one:

|7.29|=7.29

not equal to -7.29

third one:

no matter if it's negative or positive, you always use absolute value (||) to measure distances between number lines

brainliest plz

HELPPP 40 POINTSS......​

Answers

Answer:

the answer is 4

Step-by-step explanation:

Answer: The answer to question 3 is 6. The answer to question 4 is 4.

Step-by-step explanation: In question 3, if you plug in 6, that gives us 12+5. 12+5 is 17. In question 4, you can turn the words into an equation like this: 2n + 3 = 11. Plug in 4 and that gets you to 8 + 3. 8+3 is 11.

A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
is 33 centimeters.

rad/min

Answers

14.81 radians/second

Step-by-step explanation:

what is the distance between-2 and -5 on the number line?

Answers

Answer:

3

Step-by-step explanation:

on a number line, we use the absolute values to find the difference.

the absolute value of -2 is 2

the absolute value of -5 is 5

5-2=3

so, the distance between -2 and -5 on a number line is 3

1. Does the system of linear equations shown below have a solution? Explain.

Answers

Answer:

hb      Step-by-step explanation:

‘Find the value and figure of B’

Answers

Answer:

b = 12 in

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

b^2 + 9^2 = 15^2

b^2 = 225 - 81

b^2 = 144

b = 12

Answer: b = 12 in

A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?

Answers

The amount of money that will go to the school is $ 3816.00

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The sale price of set of pens = $ 5.25

The cost price of set of pens = $ 1.80

The profit of pens = sale price of set of pens - cost price of set of pens

                              = $ 5.25 - $ 1.80

                              = $ 3.45

Now , the equation will be

Forty percentage of profit = ( 40 / 100 ) x $ 3.45

                                           = $ 1.38

The amount that will go to the school =
Forty percentage of profit + cost price of set of pens

The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80

                                                                                        = $ 3.18

The equation will be ,

Now , the total number of sets of pens sold = 1200

And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200

The total cost price of 1200 sets of pens = $ 1.80 x 1200

                                                                   = $ 2160

The total profit of 1200 sets of pens = Forty percentage of profit x 1200

                                                            = $ 1.38 x 1200

                                                            = $ 1656

Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens

The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656

The amount that will go to the school for 1200 sets of pens  = $ 3816

Therefore ,

The amount that will go to the school = $ 3816.00

Hence , The amount of money that will go to the school is $ 3816.00

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Can you conclude that these triangles are congruent?
Yes or no

Answers

Answer:

Yes

Step-by-step

If there flipped then they’re congruent

Answer:

Yes

Step-by-step explanation:

Here we get two triangles,

In triangle MNH. In triangle JKH

Madison is starting her own sewing business. Madison has calculated that she needs to earn $840 per week to support her family. If she knows she will only be able to work 75 hours per week, what is the minimum amount of dollars per hour that she will need to charge her customers?

Answers

Answer:

$11.20 per hour

Explanation:

x = dollars per hour

75x = 840

x = 11.20

Find the area of a regular octagon with an apothem of 8.45 cm and a side length of 7 cm. (round to the nearest whole number) A) 59 cm2 B) 118 cm2 C) 237 cm2 D) 473 cm2

Answers

Answer:

237

Step-by-step explanation:

The area of the regular octagon is 237 cm^2

How to determine the area?

The given parameters are:

Apothem (a) = 8.45

Side length (s) = 7

Number of sides (n) = 8

The area of the regular octagon is then calculated as:

A = 0.5 * a * n * s

This gives

A = 0.5 * 8.45 * 8 * 7

Evaluate the product

A = 236.6

Approximate

A = 237

Hence, the area of the regular octagon is 237 cm^2

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Answer the photo below thanks

Answers

Answer:

D.

Step-by-step explanation:

3/6 = 30/60

Answer:

The answer is D

Step-by-step explanation:

3/6 = 30/60

If you divide the top and bottom of 30/60 by 10 you get 3/6

Hope that helps

how to factor this expression

x^3 - 4x^2 + 4x - 16

Answers

x²(x - 4) +4 (x - 4)

(x² + 4) (x - 4)

First find the common terms that can enter into both x³ and 4x² then write its down in this case it’s x² that can enter x³ leaving only x _since x³/x² = subtract of the indices. x² will also enter 4x² leaving only four hence you having x² (x - 4)
then do the same for the next pair of terms giving you 4 that can enter into both 4 and 16
Leaving you with +4 (x - 4)

Now you can put the common terms together like so (x² + 4) and choose get one of the other two which are the same= (x - 4)
= (x² + 4) (x - 4)


Is A PQR-AXYZ? If so, name which similarity postulate or
theorem applies.

A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined

Answers

Answer:

D. Cannot be determined

Step-by-step explanation:

Similarly between given triangles can not be determined because given information are insufficient.

The correct option for the given triangles is D. Cannot be determined

What are similar triangles?

Any two triangles will be considered as similar as they have congruent corresponding angles and the corresponding sides are in equal ratios.

Two shapes are Similar when one can become the other after a resize, flip, slide or turn.

Given are two triangle PWR and XYZ we need to determine whether they are similar or not,

So, we only have measurement of a pair of sides and measurement of an angle,

We have some similarity rules by which we can prove two triangles to be similar, they are :-

AA rule, Side Angle Side (SAS), Side Side Side (SSS) and Right-angle Hypotenuse Side (RHS)

Since, we do not enough information to conclude our discussion.

Hence, the correct option is D. Cannot be determined

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Find 6m if m = 5/13

6 5/13

5

2 4/12

5/78

Answers

m= 5/13
6m= 6(5/13)
6m = 30/13

5 examples of theorems in math. :")

Answers

Theorem 1. Pythagoras Theorem
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Theorem 2. Thales Theorem
If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio.

Theorem 3. Euclid’s Theorem
Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proved by Euclid in his work Elements.

Theorem 4. Fundamental Theorem of Arithmetic
The fundamental theorem of arithmetic states that every positive integer (except the number 1) can be represented in exactly one way apart from rearrangement as a product of one or more primes.

Theorem 5. Ceva’s Theorem
Ceva's theorem is a theorem of affine geometry, in the sense that it may be stated and proved without using the concepts of angles, areas, and lengths (except for the ratio of the lengths of two line segments that are collinear). It is therefore true for triangles in any affine plane over any field.
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