Mathematics College

Triangle XYZ is a scale drawing of triangle ABC.
Triangle ABC has side lengths 3, 4, & 5.
Triangle XYZ has corresponding side lengths x, 12, & 15.
What is the value of x?

Triangle XYZ Is A Scale Drawing Of Triangle ABC.Triangle ABC Has Side Lengths 3, 4, & 5. Triangle

Answers

Answer 1

Answer:

x = 9

Step-by-step explanation:

∆ABC is similar to ∆XYZ

Therefore:

[tex] \frac{AB}{XY} = \frac{BC}{YZ} [/tex]

AB = 4

XY = 12

BC = 3

YZ = x

Plug in the values

[tex] \frac{4}{12} = \frac{3}{x} [/tex]

Cross multiply

4x = 36

Divide both sides by 4

x = 9

Related Questions

29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
A. (4+5i)(4-5i)
B. (4+91)(41-9)
C. (3+2i)(3-2i)
D. (2i+5i) (21-3)
E. (312+7i) (312-7i)
F. (3i2+7i)(312+7i)

Answers

Answer: A, B, C, and E

Step-by-step explanation:

If both sides are real numbers, then the product will be a real number.

If in at least one of the sides we have a complex number, then the product will be real if:

The other number is zero.

The other number is the conjugate of the first.

This is when:

Suppose we have a number:

z = a + b*i

The conjugate will be:

w = a - b*i

And the product between them is:

(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2

Then the options that will have a real answer are:

A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41

B. (4 + 91)*(41 - 9) = 3040

C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13

E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393


Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12

Answers

Answer:jkcv

ijfklgjk

Step-by-step explanation:

vn vvcxkhvxcl

PLEASE HELP FAST ILL MARK AS BRAINLIEST!!!!!!

Answers

Answer:

I'm pretty sure it's neither? You need a graph or something for that

Answer:

I think its perpendicular

Step-by-step explanation:

When writing these points on a graph they make a square so when you connect the lines from the coordinates they cross making them perpendicular!

what is 7%o of 14.68​

Answers

Answer:

1.03

Step-by-step explanation:

i multiplied 14.68×.07

hope this is correct and helps

Answer:

1.03

Have a good day! :)

Divide: 1.98 divided by 0.09

Answers

the answer would be 22 :)
The answer is 22 :) hope this helps

Please give me the correct answer ​

Answers

Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.

When a bunch of dna and I mean thousands of dna squish together we are actually able to see dna

Constructing a frequency distribution for grouped data
Ten cyclists were each asked the distance in miles they biked last week.
Their responses are given below.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of distances in that class.
(Note that we are using a class width of 5.)
Distance in miles
Distance in miles
Frequency

3
20
6
3
7
8
13
10
18
12
6 to 10
11 to 15
16 to 20 and 1 to 5

Answers

The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.

Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.

We need to complete the grouped frequency distribution for the data.

What is the grouped frequency distribution?

In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.

Now, the frequency distribution for the given intervals is as follows:

That is, for intervals 1 to 5 the frequency is 2.

For intervals 5 to 10 the frequency is 4.

For intervals 11 to 15 the frequency is 2.

For intervals 16 to 20 the frequency is 2.

Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.

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What is the purpose of the periodic interest rate? (2 points)
a for borrowers to compare the rates between different loans
b for lenders to compare the interest rates between different investments
c to determine the amount of interest charged during a specific time frame
d to determine the minimum payment of a credit card​

Answers

Answer:

The Answer is to determine the amount of interest charged during a specific time frame

Step-by-step explanation:

1 Exam Find the sales tax. Sales Tax Selling Price Rate of Sales Tax Sales Tax $40.00 6% ? The sales tax is $​

Answers

Answer:

59% why

Step-by-step explanation:

i just took the test my gee

Answer:

Tax: $2.4

Total: $42.4

Step-by-step explanation:

40*0.06 = 2.4, 40 + 2.4 = 42.4

Which equation is represented by the graph below

Answers

Maybe show the graph.....

Simplify: 2 * 3 to the power of 2 + 3(6 - 3) - 10

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex](2*3)^{2+3(6-3)-10}\\(2*3)^{2+9-10}\\(2*3)^{1}\\6[/tex]

graph the line whose x-intercept is -6 and whose y-intercept is -7

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

When the intercepts are given, plot those and draw a line through them.

_____

Additional comment

The equation shown with the graph is the equation of a line in "intercept form." It is especially useful in a case like this where the intercepts are given.

Find the distance between the points. Round to the nearest tenth.
(1, 3) and (5.0)

Answers

1,2.6.0 yahhh feeeellll meeeeeeeer

BRAINLIEST TO HONEST ANSWER
In common app ,do teachers have to write letter of recommendation only once?? and I can submit it to any colleges I want??​

Answers

i would think so but u may need more

The table below shows the number of eggs needed for several servings of a recipe.
Number of
Eggs
Servings
3
18
6
36
9
54
How many eggs are needed for 90 servings?
A. 12 eggs
B. 15 eggs
O C. 18 eggs
OD. 21 eggs

Answers

The Answer is 15

Explanation: For all of the data shown on the table if you divide each of the servings by the amount of eggs it equals to 6 so to find the answer to 90 servings you have to go individually and divide 90 by each one to see which one equal 6 to match up with the rest of the table

Rhoda and James both sell laptops and earn commission based on the number of laptops sold. In one month, Rhoda
earns $2000 in commission for selling 10 laptops and has a base salary of $600. The money James earns for selling
laptops in the same month is shown in the graph below.

Answers

Answer: James earns $50 more in commission than Rhoda for each laptop sold.

Step-by-step explanation:hope it helps

James earned $50 more than Rhoda.

What is Data?

A collection of information obtained through measurements, study, observations, or analysis is referred to as data. Facts, numbers, names, figures, or even descriptions of things may be included. In the form of graphs, charts, or tables, data is arranged.

Basic facts and entities like names and numbers are referred to as data. Weights, costs, sales volume, employee names, product names, addresses, tax identification numbers, and registration marks are just a few types of data.

Given:

In one month, Rhoda earns $2000 in commission for selling 10 laptops.

For, one laptop = 2000/10

                         = 200

Now, as from the graph

In one month, James earns $2500 in commission for selling 10 laptops.

For, one laptop = 2500/10

                         = 250

So, James earned $50 more than Rhoda.

Learn more about data here:

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i need some help here

Answers

Answer:

the answer above is correct

Answer:

boxes

7

8

58.1

119.7

Step-by-step explanation:

look when u solve this it equals

8.3(7)+7.7(8)=119.7 but it tells u to add 61.6 so u go backwards subtract

119.7-61.6

58.1

just plug in

8.3(7)+7.7(8)=____+61.6

plug in

58.1+61.6

119.7

Which statement(s) most directly apply to capitalism?

1. There is heavy government regulation of industry.
II. Individuals can start some, but not all, kinds of enterprises.
III. The price and availability of goods is determined primarily by the market.
a. I and II
b. ll only
c. I and III
d. Ill only

Answers

Answer:

The answer is D, lll only.

Step-by-step explanation:

Just took the test on e d g e!

The statement that most directly applies to capitalism is III only.

Option D is the correct answer.

What is capitalism?

It is a system of the economy where means of production and distribution are owned by the private, not the government.

We have,

The economic system of capitalism is characterized by private ownership of the means of production and distribution of goods and services, as well as the profit motive as the driving force behind economic activity.

Based on this definition, statement III most directly applies to capitalism, as it highlights the central role of market forces in determining prices and availability of goods.

On the other hand,

Statement I, which suggests heavy government regulation of the industry, is not a typical feature of capitalism, as it implies a more interventionist approach by the government in the economy.

Capitalism generally favors a more limited role for the government in economic affairs, although some government regulations may still be present.

Statement II, which suggests that individuals can start some, but not all, kinds of enterprises, is also not a defining characteristic of capitalism.

In a capitalist system, individuals are generally free to start any kind of enterprise that they wish, provided they can obtain the necessary resources and meet any legal or regulatory requirements.

Therefore,

The statement that most directly applies to capitalism is III only.

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please I need help show work pls

Answers

Answer: A

Step-by-step explanation:

If you write down the points you’ll get:

(2,6) & (3,9) & (5,15)

Next apply the expression which in this case:

A) y =3x

Now insert the numbers

1) (2,6) => 6=3(2)

2) (3,9) => 9=3(3)

3) (5,15) => 15=3(5)

So, A is correct.

Edit: Forgot to mention about the numbers placement.

(x,y) so numbers on the left is x while those on the right is y

Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))

Answers

Answer:

2x - 4

Step-by-step explanation:

f(x) = x - 7

= 2x + 3 - 7

= 2x - 4

What is 20% of $10

Answers

10 * 0.20 = 2
20% of 10 is 2

A table of values of a linear function is shown below.

Answers

Answer:

Slope is -2

y intercept is -3

Equation :y=-2x-3

Step-by-step explanation:

Select the best answer for the question.
18. Simplify 12 - (-8) x 4 = ?
O A. 44
B. 80
O C. 16
O D.-20
Mark for review (Will be highlighted on the review page)
<< Previous Question
Ne Question >>

Answers

The answer is A
12-(-8)x4
(-8)x4=-32
12- -32=
12+32= 44

Let v = (5,-2) and w = (4,10). Which of the following is true? Check all that
apply.
A. V and w are perpendicular.
B. v.w = 20
C. The y-component of wis 10.
D. W = -2(-2,-5)

Answers

Answer: The answer is A, C and D

Step-by-step explanation:

The expression that is true for (v) and (w) on the graph can be seen in options A, B and D

What is the expression of data on the graph?

The expression of data on the graph takes a standard form of arrangement in terms of (x, y).

From the given information:

v = (5, -2) i.e. we have 5 on the x-axis and -2 on the y axisw = (4, 10) i.e we have 4 on the x-axis and 10 on the y axis

If we reduce (w) and (v) by a factor of 2 : 1 on the graph, we have;

w = (2, 5)v = (5, -2)

This shows that v and w are perpendicular to each other, and the product of v.w = 20

Similarly, W = -2(-2, -5) because by opening the brackets we have:

W = (4, 10)

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What is the length of the unknown leg in the right triangle

Answers

Answer:

i think it might be 15m

Step-by-step explanation:

Which of the following can be epressed as repeating decimals?
3/8 and 5/6
2/9 and 5/6
2/9 and 5/4
3/8 and 5/4

Answers

Answer:

2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6

Step-by-step explanation:

Tell whether the relation is a function. Explain.

Answers

This is a function because each input has its own output
it is a function bc each input has a output

During final exam weeks, many college students exercise to fuel their study sessions. Data from a recent survey are shown in the Venn diagram. Let M be the event that the student exercises in the morning and let A be the event that the student exercises in the afternoon.

A Venn diagram titled exercise habits. One circle is labeled M, 0.25, the other circle is labeled A, 014, the shared area is labeled 0.37, and the outside area is labeled 0.24.

What is the probability that a randomly chosen college student exercises in the morning or afternoon?

0.37
0.39
0.62
0.76

Answers

Answer:

WARNING! .39 AND .76 IS WRONG.

THE PEOPLE ABOVE ARE INCORRECT.

THE ANSWER IS EITHER .37 OR .62

I believe the correct answer is .62 --> .25 + .37 = .62 . This also makes sense.

(C)

ED2021

The probability that a randomly chosen college student exercises in the morning or afternoon are 0.37.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

From the given Venn diagram, we see that

Probability that the student exercises in the afternoon

P(A) = 0.14 + 0.37 = 0.51

Probability that the student exercises in the morning

P(M) = 0.25 + 0.37 = 0.61

Now, the probability that a randomly chosen college student exercises in the morning or afternoon

P(A ∩ M) = 0.37

Learn more about probability here;

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what fraction is equal to 5%​

Answers

Answer:

5/100

1/20

Step-by-step explanation:

Answer: 5/100

Step-by-step explanation:

What is the equation for the line in slope-intercept form? will give brainliest




Enter your answer in the box.

Answers

Answer:

y = 8x

Step-by-step explanation:

The slope is 8, the y-intercept is 0. The slope-intercept form is written:

y = mx + b

So this situation would be written y =  8x + 0 or just y = 8x.

Hope it helps!

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