These figures are similar.

Answers

Answer 1

The angles are equal of △ABC and △XYZ. Thus △ABC ∼ △XYZ.

What are similar triangles?

Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion.

Given that in △ABC and △XYZ:

∠C = ∠X

∠A = ∠Z

∠B = ∠Y = 100°.

AAA rule: If the angles of a triangle are congruent to the angles of another triangle, then the triangles are congruent.

According to AAA rule, △ABC is similar to △XYZ.

The symbol of similar triangles is ∼.

Therefore, △ABC ∼ △XYZ.

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Related Questions

What is the scale factor for Triangle XYZ to Triangle UVW?
A. 1/2
B. 2
C. 1/4
D. 4

Answers

B,
To get from one side to another, you multiply.
6x2=12
8x2=16
10x2=20

The 3 stages representing the hierarchy of fluency progression including Automaticity, are embedded into which strand of the B.E.S.T. mathematics standards

Answers

The three stages that have to do with fluency, progression and automaticity are found in the Number Sense and Operations .

What is the number sense and operation strand of mathematics?

This is the part of mathematics that is known to teach the student basic ways to carry out number operations in mathematics. This has to do with representation of numbers as well as solving for the existing relationships in these numbers.

Having a sense of numbers is a very important ability skill that has to be developed early is students to enable them progress in the subject.

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Andy is collecting pocket change for a fundraiser. he begins with 102 coins in the cup, and their monetary value is $17.10. if he has a mix of dimes and quarters, how many of the coins are dimes?

Answers

If Andy has 102 coins mixed with dimes and quarters and monetary value of $17.10 then he has 56 dimes and 42 quarters.

Given number of coins Andy has is 102 and montary value of all coins is $17.10.

We have to determine number of dimes and quarters.

1 dime=$0.10

1 quarter=$0.25

Suppose the number of dimes be x and number of quarters be y.

The equations are:

0.10x+0.25y=17.10------------1

x+y=102-------------2

from equation 2, y=102-x

Put the value of y=102-x in equation 1

0.10x+0.25(102-x)=17.10

0.10x+25.5-0.25x=17.10

-0.15x=17.10-25.5

-0.15x=-8.4

x=8.4/0.15

x=56

Put the value of x in y=102-x

y=102-56

y=46

Hence Andy has 56 number of dimes and 46 quarters.

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Kelly is 5'4" tall. She measured her shadow one morning to be 8'7". She then measured the shadow of her house. The house shadow was 42'3". How tall is the
actual house? (inches rounded to the hundredths.)

Answers

The height of the actual house is 26'.26" .

How to find the height of the house using ratio?

A ratio indicates how many times one number contains another.

Therefore, the heights will form a similar length. Therefore, the corresponding length have the same ratios.

Therefore,

height of Kelly / x = height of Kelly shadows / height of house shadow

Hence,

where

x = actual height of the house

5.4 / x = 8.7 / 42.3

cross multiply

42.3 × 5.4 = 8.7x

Therefore,

228.42 = 8.7x

divide both sides by 8.7

228.42 / 8.7 = 8.7x / 8.7

x = 26.2551724138

Therefore, the height of the actual house is 26'.26"

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A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.

Answers

Answer:

Step-by-step explanation:

I dont exactly know if this is correct sorry if its wrong

The answer is C, how is it solved?

Answers

Answer:

Step-by-step explanation:

As always, the first step is to read and understand the question. You are asked to find the smallest number in the set {M₁, M₂, M₃}. Each of these values is defined to be the largest number in the corresponding sets S₁, S₂, S₃.

Set M

The numbers in each set are ordered smallest to largest, so the largest number in each set is the one on the right.

The largest number in S₁ is 8, so M₁ = 8.

The largest number in S₂ is 6, so M₂ = 6.

The largest number in S₃ is 0, so M₃ = 0.

This means the set M is ...

M = {M₁, M₂, M₃} = {8, 6, 0}

The question asks for the smallest number in set M. Clearly, it is 0.

The smallest number in the set is 0.

A supermarket increases the prices of some grocery items by 10%.

(a) What will be the new price of a loaf of bread marked at $1.80.

(b) What will the price of a packet of cereal that has a price tag of $4.20, but already discounted by 50%

Answers

Answer:

(a) $1.98

(b) $6.30

Step-by-step explanation:

(a)

The new value =

1.80 + The value of the percentage increase =

1.80 + (10% × 1.80) =

1.80 + 10% × 1.80 =

(1 + 10%) × 1.80 =

(100% + 10%) × 1.80 =

110% × 1.80 =

110 ÷ 100 × 1.80 =

110 × 1.80 ÷ 100 =

198 ÷ 100 =

1.98

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 1.80 =

1.98 - 1.80 =

0.18

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

10% × 1.80 =

10 ÷ 100 × 1.80 =

10 × 1.80 ÷ 100 =

18 ÷ 100 =

0.18

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

1.80 increased by 10% = 1.98

The actual change:

1.98 - 1.80 = 0.18

(b)

Calculate the New value
The new value =

42.0 + The value of the percentage increase =

4.20 + (50% × 4.20) =

4.20 + 50% × 4.20 =

(1 + 50%) × 4.20 =

(100% + 50%) × 4.20 =

150% × 4.20 =

150 ÷ 100 × 4.20 =

150 × 4.20 ÷ 100 =

63,000 ÷ 100 =

630

(but its as a dollar so its 6.30)

Calculate the actual change (the absolute difference) between the two values

The actual change =

The new value - 4.20 =

6.30 - 4.20 =

2.10

Proof of calculation.

Calculate the percentage increased value...

... and see if we get as a result...

... the actual change (the absolute difference).

Calculate the percentage increased value:

The value of the percentage increase =

50% × 4.20 =

50 ÷ 100 × 4.20 =

50 × 4.20 ÷ 100 =

21,000 ÷ 100 =

210

(but its as a dollar so its 2.10)

So we have proven that the calculations are correct.

For positive numbers

The actual change =

The value of the percentage increase

The answer:

4.20 increased by 50% = 6.30

The actual change:

6.30 - 4.20 = 2.10

Help pls

Use the data from the table to create a scatter plot. Plot all the data points from the table.

Variable A 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8
Variable B 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4

Answers

The attached graph represents the scatter plot of the table of values

How to create the scatter plot?

The table of values is given as:

Variable A 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8

Variable B 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4

Rewrite the table as:

x 1 4 2 3 5 1 3 7 6 6 2 9 7 5 8

y 6 6 1 6 7 4 4 7 5 3 5 25 21 4 4

Next, we plot the values on a graph

See attachment for the scatter plot

Answers

the answer is D. 2
because 2 to the power of 2 is 4
and then you multiply 4 by 4 and you get 16

What is the area of a square with a perimeter of 44 mm?

Answers

Answer:

The area of the square is 121mm

Step-by-step explanation:

To solve this we need two basic formulas:

P = 4s

A = [tex]s^{2}[/tex]

P = perimeter

s = the length of the side

Since the shape is a square all the sides are the same length. To get the value of 's' we need to isolate:

P = 4s

44 = 4s

44 / 4 = 4s / 4

11 = s

Now plug in the answer for 's' to get the area:

A = [tex]s^{2}[/tex]

A = [tex]11^{2}[/tex]

A = 121

Hope this helps.

The greatest question: what is the square root of nine. i don't know the answer:)

Answers

3 is the square root of nine.

The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is \sqrt{ } square root of, end square root . Finding the square root of a number is the opposite of squaring a number.

To find the fraction square root, first, find the square root of the numerator and then find the square root of denominator. After finding the square root values, simplify the fraction. For example, √(4/16), can be written as √4/√16.

(3)^2 = 9

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If tan(t)=4/9 what is tan(t−π)

Answers

The value of tan(t−π) is 4/9.

According to the statement

we have given that tan(t)=4/9 and we have to find the value of tan(t−π).

So,

tan(t−π) -(1)

take negative sign common from equation (1) it then

tan(t−π) = -tan(-t+π)

and we know that the according to the mathematics formula it become

tan(-t+π) is -tan t

then

tan(t−π) = -(-tan t)

it becomes

tan(t−π) = tan t

then its value becomes

tan(t−π) = tan(t)=4/9.

because we have given that the value of tan t is tan(t)=4/9.

So, The value of tan(t−π) is 4/9.

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Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. What is the estimated probability that Rita will need to pick at least five beads before she picks a gray bead from her collection

Answers

The probability that Rita will need to pick at least five beads before she picks a gray bead from her collection is approximately (C) 0.45.

What is probability?

Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

To find the probability that Rita will need to pick at least five beads before she picks a gray bead from her collection:

Given that Rita is making a beaded bracelet. She has a collection of 160 blue beads, 80 gray beads, and 240 pink beads. We are to calculate the probability that Rita will need to pick at least 5 beads before she picks a grey bead from her collection.Prob for drawing at least 5 beads before she picks a grey bead from her collection= 1-Prob for drawing at least one grey beed in the first 5 draws.(Because these two are complementary events)number of grey beads drawn in the first 5 trials is[tex](5, \frac{80}{80+160+240} ) = (5,\frac{1}{6} )[/tex]Prob for drawing at least one grey beed in the first 5 draws.=1-Prob of no greyHence required prob=P(X=0 in the first 5 draws)[tex](1-\frac{1}{6})^{5}\\0.4018[/tex]The 6th beeds onwards can be grey also.The nearest answer is (C) 0.45

Therefore, the probability that Rita will need to pick at least five beads before she picks a gray bead from her collection is approximately (C) 0.45.

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The question you are looking for is given below.

(A) 0.05

(B) 0.10

(D) 0.55

6,000 people voted in a town election. Of the two candidates, the winning candidate received 4,000 more votes than the losing candidate. How many votes did the winner get?

Answers

Answer:

Step-by-step explanation:

let x = the number of votes of the first person

winner = x + 4000

x+ x+4000 = 6000

2x=2000

x=1000

first person = x = 1000

winner = x+4000 = 5000

The winner got 5000 votes

Are the ratios 2:1 and 14:6 equivalent?
yes
no

Answers

Yesssssssssssssssss 2:1 is basically 2:1 can be converted into 2 wholes and 14:6 can also be converted into 2 wholes.

marca la respueta correcta el termino general de la sucesion 3,6,9,12,15, es.: a-2n b-3n c-n2 ayudaaaaa

Answers

Please type English 2

Which describes Which is a perfect square?
72
81
90
99

Answers

Answer:

Step-by-step explanation:

A perfect square is multiplying a number with the same number in question. 81 is a perfect square because either 9 or -9 will go into it perfectly, like a square's length and height.

[tex]9^{2} = 81[/tex]

Answer: 81

Step-by-step explanation:

81 can be perfectly square rooted into 9. [tex]\sqrt{81}=9[/tex]

A has the coordinates (-4, 3) and B has the
coordinates (4, 4). If Do,1/2(x, y) is a dilation of AABC,
what is true about the image AA'B'C'? Check all that
apply.

Answers

If [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex] exists a dilation of △ ABC, the facts regarding the image

△A'B'C' exist AB exists parallel to A'B'.

What is a coordinate plane?

Any point in the coordinate plane exists directed by a point (x, y), where the x value exists the position of the point with respect to the x-axis, and the y value exists the position of the point with respect to the y-axis.

A dilation exists a transformation [tex]$D_{o,k} \frac{1}{2} (x, y)[/tex], with center O and a scale factor of k that exists not zero, that maps O to itself and any other point P to P'. The center O exists as a fixed point, P' exists as the image of P, and points O, P, and P' exist on the exact line.

In a dilation of [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex], the scale factor, 1/2 exists mapping the original figure to the image in such a manner that the distances from O to the vertices of the image exist half the distances from O to the original figure.

Also, the size of the image exists half the size of the original figure.

If [tex]$D_{o,\frac{1}{2}} \frac{1}{2} (x, y)[/tex] exists a dilation of △ ABC, the facts regarding the image △A'B'C' exist AB is parallel to A'B'.

[tex]$D_{o,k} \frac{1}{2} (x, y) = (\frac{1}{2} x, \frac{1}{2}y)[/tex]

The distance from A' to the origin exists half the distance from A to the origin.

Therefore, the correct answer is option A). △ A'B'C' exist AB is parallel to A'B'.

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What is the length of an edge of a cube whose total surface area is equal to 150 square feet?

Answers

The length of an edge of a cube is 5 feet.

What is cube?

In Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Total surface area of a cube = 6[tex]l^{2}[/tex]

Given that,

Total surface area of a cube = 150 square feet

Total surface area of a cube = 6[tex]l^{2}[/tex]

[tex]\Rightarrow[/tex] 150 = 6[tex]l^{2}[/tex]

[tex]\Rightarrow[/tex] [tex]l^{2}[/tex] = [tex]\frac{150}{6}[/tex]

[tex]\Rightarrow[/tex] [tex]l^{2}[/tex] = 25

[tex]\Rightarrow[/tex] l [tex]=\sqrt{25}[/tex]

[tex]\Rightarrow[/tex] l = 5 feet

Hence, the length of an edge of a cube is 5 feet.

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The volume of a box without a lid is given by the formula v = 4x(10-x)^2, where x is a length in inches and v is the volume in cubic inches. what is the volume when x = 5

Answers

The volume of the box without the lid is 500 cubic inches.

What is volume?

The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.

Another way to think of volume is as the amount of space a three-dimensional object takes up.

Calculation for the volume of the box-

The volume of a box without a lid is given by the formula v = 4x(10-x)².

Where,

'x' is a length in inches, and

'v' is the volume in cubic inches.

The volume when x = 5 inches.

Substitute the value of 'x' in the formula of volume;

v = 4×5(10-5)²

= 20×5²

v = 500

Therefore, the volume of a box without a lid is 500 cubic inches.

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A man bought 42 stamps, some 13¢ and some 18¢. How many of each kind did he buy if the cost was $6.66?

If x represents the number of 13 cent stamps and y the 18 cent stamps, which system represents the problem?

Answers

The system of equation which represent the scenario is;

x + y = 42

x + y = 420.13x + 0.18y = 6.66

Simultaneous equation

let

number of 13 cent stamps = xnumber of 18 cent stamps = yTotal cost of the stamps = $6.66Total number of stamps = 42

x + y = 42

x + y = 420.13x + 0.18y = 6.66

Therefore, the equation which represent the problem is;

x + y = 42

0.13x + 0.18y = 6.66

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P(Music/Drama) round to the nearest percent

Answers

Using it's concept, the probability that a randomly selected student is in music/drama is: 25%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Hence, in this problem, the probability will be found dividing the number of students that are in music or drama by the total number of students.

These data is given in a table, which is not given in this exercise. Researching this problem on the internet, we have that there are 20 + 7 + 3 + 20 + 13 + 2 + 25 + 5 + 5 = 100 students, of which 7 + 13 + 5 = 25 are in music/drama, hence the probability is:

P = 25/100 = 25%.

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polynomial>>>look at pick fundamental theorem

Answers

Answer:

Step-by-step explanation:

The factor (x³ - 1) is not repeated.

Brass is made up of copper and zinc. 100 grams of brass contains 20 grams of zinc.
A) Workout the weight of zinc in 60 grams of brass.
Brass contains 4 parts by weight of copper to 1 part by weight of zinc.
B) Work out the weight of copper in 350 grams of brass.

Answers

Answer:

A. 12 grams Zn

B. 280 g of copper.

Step-by-step explanation:

100 grams of brass

20 grams of zinc

100 grams of brass has 20 grams of Zn.

20/100 = 0.200 Zn 20% Zn and 80% copper.

A. (60 g brass)*(0.2) = 12 grams Zn

B. (350 g brass)*(0.80) = 280 g of copper.

Michael collects 45 trays of eggs every week . how many trays does he collect in two months?

Answers

45•8=360 because there are 4 weeks in months and 2 months you get 8 weeks and just multiply 45 Tim's 8 to get 360 trays

David has kept track of his family’s grocery bills for the past 10 weeks, as shown in the table.

Week 1 2 3 4 5 6 7 8 9 10
Bill ($) 92 106 129 115 100 84 110 156 98 87

Would you choose to use a histogram, a circle graph, or a line graph to display the data? Explain your choice. Then make a display.

Answers

The preferred choice would be a line graph (drawn in the figure attached) for displaying the data.

Why a line graph is the preferred option here?

For displaying the data of David's family's grocery bills for the past 10 weeks, a line graph is the most preferable choice since it would display the data's trend for us. This is similar to how we would notice times when there were huge costs.Another reason for choosing a line graph is that it is very easy to comprehend. It is simple to observe how the data are related and how they have changed.

What is a line graph?

An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.

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Mary performs this calculation. (3.0) (2.0). how many significant figures should her answer have? one two four six

Answers

Answer:

Step-by-step explanation:

There are only 2 numbers in the final answer (6.0), so you just need 2 significant figures.

How many 3-coin combinations exist if we can choose from

pennies, nickels, dimes, and quarters?

select one:

a. 20

b. 4!

o

c.4.

o

d. 12

Answers

There are four numbers of 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.

How to solve probability combinations?

The coins to select from are nickels, dimes, quarters, and half-dollars;

Thus;

Coins (n) = 4

The number of coin to select is:

Coin (r) = 3

The coin combination is then calculated using:

Combination = ⁴C₃

Apply the combination formula, we have;

Combination = 4

Thus, there are four number 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.

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Answer:

Step-by-step explanation:

took the exam

someone please help asap.. what even is this. ill give brainliest
Given: line AC is perpendicular to line BC
Prove: the slopes of lines AC and BC is -1
Complete the Proof.
first blank: angle addition; definition of perpendicular lines; definition of congruent angles; definition of a straight angle.
second blank: addition property of equality; subtraction property of equality; transitive property of equality; substitution property of equality.
third blank: transitive property of equality; substitution property of equality; definition of slope; corresponding sides of similar triangles are proportional.
fourth blank: multiplication property of equality; substitution property of equality; addition property of equality; transitive property of equality.

Answers

Congruency property relates to two or more triangles with similar dimensions, and internal angles. So that the required statements to complete the proof are:

1. definition of a straight angle.

2. subtraction property of equality

3. corresponding sides of similar triangles are proportional

4. transitive property of equality.

The intersection of two or more lines forms a number of angles which depends on the number of lines involved. These angles formed may have similar or different properties.

When two or more triangles have similar lengths of sides and measure internal angles, it can be said that they are congruent. Thus they have some common properties.

Therefore, the appropriate statements to answer the given question are stated below:

Definition of a straight angle.Subtraction property of equality.Corresponding sides of similar triangles are proportional.Transitive property of equality.

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Here is a rail way timetable
What time does the first train get to oakengats?

Answers

The time that the first train would get to Oakengats is 08:15.

How to find the time of arrival

The time of arrival of the first train can be gotten from the table.

The first entry has a blank space. This would have been the time of arrival for the train.

After the blank space, the next time is when the fits train got to this destination. That is at 08:15