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

Need help plz very much

Answers

Answer:

3

Step-by-step explanation:

Remember that when we are dividing two exponents with the same base (here, it's 13), we can subtract the values of the powers:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

So, here, we have [tex]\frac{13^{10}}{13^7}[/tex] , so we subtract 7 from 10:

[tex]\frac{13^{10}}{13^7}=13^{10-7}=13^3[/tex]

Thus, 3 should go in the box.

write the value of 50 times the sum of 64 and 36

Answers

e Value of the Expression a. 50 times the sum of 64 and 36. 50 x(64+36)

Answer:

500 :)

Step-by-step explanation:

30 feet is to 40 feet as 12 feet is to 16 feet​

Answers

Answer:

I don't know what to do but

30 feet is to 40 feet is plus 10, 12 feet is to 16 feet is plus 4. I think if this wrong I am so sorry

Step-by-step explanation:

Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes for preheating) how many cookies did Amy make?​

Answers

3 hours and 55 minutes - 15 minutes would leave 3 hours and 40 minutes. You figure there’s 20 minutes 3 times in an hour so 3x3 is 9 + the extra 2 20 minute periods from the 40 minutes. So 11 batches of cookies, 48x11= 528. Amy made 528 cookies.

K mola ofkg o okdgmbo9k

Answers

Answer: c

Step-by-step explanation:

C because the hour each have 25 more added to it

please help me asap​

Answers

Answer:

Not sure what number sense is, but 3 is the answer.

Step-by-step explanation:

Answer:

the answer would be 3.

Step-by-step explanation:

5 times 3 is 15 plus 40 is 55. Hope this helps!!! Please let me know if i'm right!!!

The total cost to buy pizzas from Mrs. miss holiday party can be found using the function C(x)=10+3.50x, where X is the number of pizza bought. She wants to order at least 5 pizzas but no more than 9 pizzas for class. Is this a continuous or discreet relationship?

What is the domain and what is the range of the situation?

Answers

Answer:

We have the equation:

C(x) = 10 + 3.50*x

x represents the number of pizzas she buys, x only can take whole values, so we must have x ∈ Z

This means that this relation is discrete because there are only some values of x avaible, and thus there will be only some values of C(x) avaible.

She wants to buy at least 5 pizzas, and no more than 9, then the domain will be:

5 ≤ x ≤ 9

Or we could write the domain as:

{5, 6, 7, 8, 9}

This means that the possible costs will be:

C(5) = 10 + 3.50*5 = 27.50

C(6) = 10 + 3.50*6 = 31

C(7) = 10 + 3.50*7 = 34.5

C(8) = 10 + 3.50*8 = 38

C(9) = 10 + 3.50*9 = 41.50

Then the range is:

{27.50,  31, 34.5, 38, 41.50}

2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?

Answers

Answer:

The cost of one balloon is 4 dollars

the cost of one cake is 6 dollars

Step-by-step explanation:

The way I did it was by substituting different numbers and seeing if they equaled forty or 26.

my thought process:

1 balloon= 5

1 cake= 10

that doesnt work for 2 balloons and 3 cakes

1 balloon=5

1 cake=5

that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes

1 balloon=4

1 cake=7

I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)

A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?

Answers

It will cost you $7.45

What is tan(x) equal to?
1
2
sin(x)
cos(x)
sin(x)/cos(x)

Answers

Answer: sin(x) / cos(x)

Step-by-step explanation: This is just a trigonometric identity you should have memorized :)

A restaurant owner plans to use x tables seating 4, y tables seating 6, and z tables seating 8, for a total of 20 tables. When fully occupied, the tables seat 108 customers. If only half of the x tables, half of the y tables, and one-fourth of the z tables are used, each fully occupied, then 46 customers will be seated. Find x, y, and z

Answers

Answer:

x = 10, y = 6 and z = 4

Step-by-step explanation:

From the question, we can form simultaneous equations of 3 variables.

Since the total tables is 20, then

x + y + z = 20

If fully occupied, x tables seating 4 will be occupied by 4x customers, y tables seating 6 will be occupied by 6y customers and z tables seating 8 will be occupied by 8z customers. Since we are told that if they occupy the tables with their seating, we will have a total of 108 customers. This gives the equation

4x + 6y + 8z = 108.

From th last statement "if only half ..." We can form the following equation:

(4x)/2 + (6y)/2 + (8z)/4 = 46.

From these we have the equations (after simplifying) to be:

x + y + z = 20 -------------- 1

2x + 3y + 4z = 54 ----------- 2

2x + 3y + 2z = 46 ----------- 3

In order to solve these equations, let's subtract eqn 3 from 2, we have:

2z = 8

z = 4

Putting z = 4 in eqn 1 and eqn 2

We have:

x + y = 16 ----------- 4

2x + 3y = 38 -------- 5

To solve these eqns, multiply eqn 4 by 2 and eqn 5 by 1.

4 x 2 : 2x + 2y = 32 ----------- 6

5 x 1 : 2x + 3y = 38 ------------ 7

Let's subtract eqn 6 from eqn 7, we have:

y = 6. Substituting y = 6 and z = 4 in eqn 1, we have x = 10.

Therefore, x = 10, y = 6 and z = 4

Help! Which is the right one?

Answers

Answer:

it depends on the rest of the equation

Step-by-step explanation:

sss is used for using 3 sides to determine if the triangles are congruent, asa uses an angle then a side then an angle, sas uses a side then an angle then a side, ssa uses a side, then another side, then an angle

You have saved $1350 and are now going to invest it. The account you have chosen will compound continuously and after 10 years you will have $1462. What interest rate will the account give you?

Answers

Answer:

The account interest rate is 0.80%

Step-by-step explanation:

A=P(1+r/100)^10

1462=1350(1+r/100)^10{divide both sides by 1350}

1462/1350=(1+r/100)^10{find the 10th root of both sides}

1.00800=1+r/100{multiply through by 100}

100.800=100+r

r=100.800-100

r=0.80%

Are these triangles congruent ?

And what is the theorem ?

I will give a brainlist for the correct answer :)

Answers

Answer:

Step-by-step explanation:

These two are not congruent. The angle in both triangles must be included inside the two given lines.

So the answer is not congruent.


Which step(s) would create equations so that the coefficients of one of the variables are
opposites?
(A) Multiply the first equation by 7.
Multiply the second equation by 3.
(B) Multiply the first equation by -2.
Multiply the second equation by 4.
(C) Multiply the first equation by 2.
(D) Multiply the second equation by 4.

Answers

The answer would be (D) Multiply the second equation by 4.

The second equation would become 8x - 8y = -28, and the 8y from the first equation and the -8y from the second would cancel out and you can solve for x.

Solve the system of equations.
- 52 + 2y = 9
y=73
T =
y =
Show Calculator

Answers

Step-by-step explanation:

(1 point)

No, there isn't a more efficient way to solve this system.

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.

What is the 93rd term of the arithmetic sequence-11,-7,-3

Answers

Answer: 361

Step-by-step explanation: 4(the change) times 93 (the term u want) minus 11 (your starting number/term)

What is the product of (9)(-9)(-1)? -
81
-1
1
81​

Answers

Answer:

81

Step-by-step explanation:

Answer:

D.81

Step-by-step explanation:

happy chrismas every one

plz mark me brainliest

Slope for (5,-2) (2,1)

Answers

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

(1--2)/(2-5)

3/-3

-1

Hurry plzzzz!! It’s for a test and I’m stuck

Answers

Answer:

im pretty sure it is 2m + 10

bc the min is going up by 2 every time and the gallons are going up by 10 each time

Step-by-step explanation

i commented b4 i actually answered it bc it wouldnt let me sry

Jada cut 4 pieces of ribbon that were equal in length. She used a total of 5 feet of ribbon. How long, in feet, was each piece of ribbon she cut?

Answers

Answer:

1.25 feet

Step-by-step explanation:

5/4=1.25

Can y’all please help me with this y=-16 + 29t+ 6

Answers

Answer: m=29

Step-by-step explanation:

Edward deposited $10,000 into saving accounts 2 years Ago. The simple interest rate is 2%. How much money did Edward earn in interest.

Answers

Answer:

the answer is someone else can

Answer:

S = P (r)(t)

Step-by-step explanation:

S = Simple interest

P = Principle

r = rate

t = time

S = (10000 x 2%)x2

Work brackets first 10000 x 2% = 200

then 200 x 2 = 400

S = 400

Any help please thank you I appreciate it

Is credit union the heights rate ? Can anyone help me get the answer

Answers

Have faith, you got it. 6 2/5 is 6.4% when converted to decimal. Higher than the others once converted to decimal as well.

NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the
nearest tenth. (Hint: Always make sure to label your triangle first with your
reference angle)

Answers

Answer:

[tex]x = 9.4[/tex]

[tex]y = 17.7[/tex]

Step-by-step explanation:

Given: The figure

Required: Find x and y

The relationship between length x, length 15 and angle 32 is as follows:

[tex]tan \theta = \frac{opp}{adj}[/tex]

So, we have:

[tex]tan\ 32= \frac{x}{15}[/tex]

Cross multiply:

[tex]x =15*tan\ 32[/tex]

[tex]x = 15 * 0.6248693519[/tex]

[tex]x = 9.3730402785[/tex]

[tex]x = 9.4[/tex] --- approximated

Similarly:

The relationship between length y, length 15 and angle 32 is as follows:

[tex]cos \theta = \frac{adj}{hyp}[/tex]

So, we have:

[tex]cos\ 32= \frac{15}{y}[/tex]

Cross Multiply:

[tex]y * cos\ 32= 15[/tex]

Solve for y

[tex]y = \frac{15}{cos\ 32}[/tex]

[tex]y = \frac{15}{0.84804809615}[/tex]

[tex]y = 17.6876760506[/tex]

[tex]y = 17.7[/tex] --- approximated

HELP HELP HELP HELP HELP

Answers

Answer:

+80=0 at the end of the thing

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

-9+9= 18

9x9= 81

they have to use the same number, but one is added and the other is multiplied

urgent!! please answer correctly no trolls pls

Answers

Answer:

127 degrees

Step-by-step explanation:

96+31+x=180

x=53

180-53=m<1

127m<1

find the slope of the line that contains (2,5) and (5,3)

Answers

Answer:

the slope is -2/3 hope that helps

You compare the happiness of people forced to smile with those of people forced to frown. Both groups have the same number of participants. The mean happiness level in the smile group is 20. The mean happiness level in the frown group is 19. The standard deviation of both groups is 20. The effect size is:_________

Answers

Answer:

0.05

Step-by-step explanation:

The Effect size  = (Difference in Means) / (Standard deviation)

= (20 - 19) / 20

= 1/20

= 0.05

Determine the value of x.

Answers

i think the answer is d
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