Triangles ABC and d e f are similar the lengths of the sides of ABC are 56/64 and 72 the length of the largest side of d e f is 252 what is the length of the smallest side of d e f

Answers

Answer 1

Answer:

[tex]D E F = 196[/tex]

Step-by-step explanation:

Given

[tex]ABC = 56, 64\ and\ 72[/tex]

[tex]Largest\ of\ D E F = 252[/tex]

Required

Determine the smallest side of DEF

Since both sides are similar, then the sides of DEF can be calculated using:

[tex]D E F = k * ABC[/tex]

First, we need to solve for k

From the given parameters

[tex]D E F = 252[/tex] when [tex]ABC = 72[/tex]

This is so because these are the largest sides of both triangles respectively

[tex]D E F = k * ABC[/tex]

[tex]252 = k * 72[/tex]

Divide through by 72

[tex]252/72 = k * 72/72[/tex]

[tex]k=252/72[/tex]

[tex]k=3.5[/tex]

We make use of the same formula to determine the length of the smallest side.

The smallest of ABC is 56, so we have:

[tex]D E F = k * ABC[/tex]

[tex]D E F = 3.5 * 56[/tex]

[tex]D E F = 196[/tex]

Hence, the smallest side of DEF is 196


Related Questions

Is y=3x-8 proportional

Answers

Step-by-step explanation:

YES! HOP THIS HELPS

I think sooooooooooo

Rewrite the expression 16 + 32 as the product of the greatest common factor and the sum of the remaining numbers. Group of answer choices 2(8 + 16) 8(2 + 4) 4(4 + 8) 16(1 + 2)

please help and the question is in the docs

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Answer:

sfuc,k u

Step-by-step explanation:

Determine whether each point could represent an x-intercept, y-intercept, both, or neither.
A. (0,5)
B. (0,0)
C.(-7,0)
D. (3,-4)
E. (19,0)

Answers

The answer might be A.

Answer:

A. y-intercept

B. Both

C. x-intercept

D.Neither

E. x-intercept.

Step-by-step explanation:

A y-intercept is recognized when there is a 0 at the x coordinate. A x-intercept is recognized when there is a 0 at the y-coordinate. The origin  (0,0) is considered the x and y-intercept. In a neither situation, the coordinates will have another number besides zero.

WILL GIVE U BRAINLIEST ... how many solutions does this parabola have ??????

Answers

Answer:

No solutions

Step-by-step explanation:

This parabola does not touch the x-axis, therefore, there are no solutions.

(sint-cost)²=1-sin(2t)

Answers

i dont know the way you wan me to solve this but i got 1−2cos(t)sin(t)=1−2sin(t)cos(t)

David claims that it's possible to create a segment exactly 5 units in length. Build such a segment, and explain how you know the length is exactly 5 units, or explain why such a segment is impossible.​

Answers

Answer:

3^2+4^2=5^2

Step-by-step explanation:

shown in the answer

use the slope-intercept form to graph y=3/5x-3

Answers

Answer:

Step-by-step explanation:

9. Suppose GH = JK. HI = KI and QI = ZL. How can you prove that GHI is congruent to JKL ?
You can use SAS to prove the triangles are congruent.
You can use SSS to prove the triangles are congruent.
You can use SSA to prove the triangles are congruent.
There is not enough information to prove that the triangles are congruent.​

Answers

Answer:

C. SSS

Step-by-step explanation:

Since we are not given any angle measure and three side measure, we can prove these triangles congruent by SSS.

To prove triangle GHI and JKL are congruent, rule SSS is used.

What are congruent triangles?

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Different rules of congruency are as follows.

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

RHS (Right angle-Hypotenuse-Side)

Given

Triangles GHI and JKL

GH = JK

HI = KI

QI = ZL

All three sides are equal in both triangles.

By side-side-side theorem,

ΔGHI ≅ΔJKL

Hence, by SSS theorem, it is proved the triangles are congruent.

Learn more about congruent angles here:

https://brainly.com/question/22062407

#SPJ7

yo can someone help me plz, i would app it

Answers

Answer:

Parallel line - y=6x+9

Perpendicular line - y=-1/6x +4

Step-by-step explanation:

Parallel lines have a slope that is equal to the origninal equation. You use the y-y1=m(x-x1) equation. In this case, your y1 is 3 and your x1 is -1. Plug these into the equation along with your slope of 6.

y-y1=m(x-x1)

y-3=6(x-(-1))

y-3=6(x+1)

y-3=6x+6 - Distribute

+3 +3 - Add 3 to both sides

y=6x+9

For perpendicular lines, the slope is the negative reciprocal of the given slope. In this case, the slope is -1/6. Your y1 is 4 and your x1 is 0.

y-y1=m(x-x1)

[tex]y - 4 = - \frac{1}{6} (x - 0)[/tex]

Distribute:

[tex]y - 4 = - \frac{1}{6} x[/tex]

+4 +4

Add 4 to both sides:

[tex]y = - \frac{1}{6} x + 4[/tex]

HELP ME PLZ <<<<<<<<<<<<<<<<<<<<

Answers

Answer:

Yes, Alternate Exterior Angles

Step-by-step explanation:

A testicle cuff is a ring-shaped device around the scrotum between the body and the testicles which when closed does not allow the testicles to slide through it. A common type has two connected cuffs, one around the scrotum and the other around the base of the penis. They are just one of many devices to restrain the male genitalia. A standard padlock, which cannot be removed without its key, may also be locked around the scrotum.

The Bigtown football team outscored its opponents 5:2 last season.
If their opponents scored 38 points, how many points did Bigtown
score?

Answers

Step-by-step explanation:

5:2 add to find total ratios 7

opponents=2/7=38

bigtown=5/7=95

Answer: The big town team scored 95 points.

Step-by-step explanation: Given that the big town football  team outscored its opponents 5:2 last season and their opponents scored 38 points.

We are to find the points scored by big town team.

Let 5x and 2x represents the points scored by big town team and their opponents.

Then, according to the given information, we have

2r = 38

r = 38/2

r = 19

Therefore, the points scored by big town team is given by

5 X 19 = 95.

Thus, the big town team scored 95 points.

The slope of the graph shown below is

Answers

Answer:

1/ 2.5

Step-by-step explanation:

one way to do this is rise over run, so from one red dot to the other it went up one and over 2.5. the other way to do this is by using the (y2-y1)/(x2-x1) this will give you the same answer :)

It’s -2/3, you rise or go down 2 spaces then run 3 paces to the right the line is going negative.

PLEASE HELP OUT A line has a slope of Negative one-fourth and passes through point (Negative five-fourths, 1). What is the equation of the line? y = negative one-fourth x + StartFraction 21 Over 16 EndFraction y = negative one-fourth x + StartFraction 11 Over 16 EndFraction y = negative one-fourth x minus one-fourth y = negative one-fourth x minus five-fourths

Answers

Answer:

A) y= -1/4x + 21/16

Step-by-step explanation:

y-1= -1/4(x + (-5/4))

y= -1/4x - 5/4+1

y= -1/4x + 21/16

Answer:

A) y= -1/4x + 21/16

Step-by-step explanation:

y-1= -1/4(x + (-5/4))

y= -1/4x - 5/4+1

y= -1/4x + 21/16

Write the vocabulary word for this definition:

The number of units or spaces away a number is from zero

Answers

Answer:

i am not sure but may be ...absolute value

what is 10m-2?
Variables are really hard for me so if anyone can help me with this problem that would be really great

Answers

Answer:

tytyty

Step-by-step explanation:

Which fraction is equal to the decimal 0.137?

Answers

Answer:

137/1000

Step-by-step explanation:

Answer:

137/1000 also 13.7 percent

Step-by-step explanation:

Please help me!! Thank youu

Answers

Answer:

6.5x and 3.05x were adding incorrectly.

Step-by-step explanation:

The answer to adding those two numbers would be 9.55x

Answer:

error is in step A. 6.5x and 3.05x do not combing to 10x. instead, it should be 9.55x

5 stars and a thank you

Answers

Answer:

ok

Step-by-step explanation:

Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60÷5=12. Does Noah’s method always work? Explain why or why not.

Answers

Answer:

yes

Step-by-step explanation:

because if you divide what you said its will have a sum

Which are equivalent equations? Select two correct answers.

d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1

Answers

Answer:

B and D if not sorry

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

. Consider the following standards.
MAFS.912.F-BF.1.1b: Combine standard function types using arithmetic operation. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. MAFS.912.F-BF.1.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Part A: Describe the difference in combining functions and composing functions.
Part B: Give a real-world example of combining functions.
Part C: Give a real-world example of composing functions.

Answers

Part A:

A combined function is defined by combining with existing functions using addition, subtraction, multiplication or division.

A composite function is created by plugging one function into another.

Part B:

The class is selling sweaters an. the cost of each sweater is 8 dollars. There is a fee to create the design. The class plans to sell the sweaters for 12 dollars.

Part C:

Amy works at a baked goods store. She receivers a weekly salary of 350 dollars and is payed 3 percent commission on weekly sales over 1,500 dollars.

oof that took a while lol

Is -51.16 a integer?

Answers

Answer:

No

Step-by-step explanation:

An integer is a number that is whole. For example, 1.12 is not an integer, but 14 is.

PLEASE HELP LINEAR EQUATIONS!!
3(2x-5)=-15

Answers

Answer:

x=0

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

3(2x−5)=−15

Step 1: Simplify both sides of the equation.

3(2x−5)=−15

(3)(2x)+(3)(−5)=−15(Distribute)

6x+−15=−15

6x−15=−15

Step 2: Add 15 to both sides.

6x−15+15=−15+15

6x=0

Step 3: Divide both sides by 6.

6x/6 = 0/6

x=0

Hope this helps :)

Answer:

2x-5= -3x times(x) 3 is -9

Step-by-step explanation:

PEMDAS

Julio pald 1.2 times his normal hourly rate for each hour he works over 30 hours a week Last week he worked 43 hours and earned $574.56

Answers

Answer:

482.70

Step-by-step explanation:

First, find out how much he earned per hour last week. 576.56 divided by 43 is 13.41.

Second, multiply his hourly earnings by 1.2, 1.2*13.41=16.09 So he earns 16.09 per hour

Lastly, multiply 16.09 by 30, 16.09*30=482.7 So he earns about $482.70 each week.

A florist charges $25 for a vase plus $4.50 for each flower. The total charge for the vase and flowers is given by the function f(x) = 4.50x + 25. How will the graph change if the vase’s cost is raised to $35? if the charge per flower is lowered to $3.00?

Answers

Part 1
All that’s being affected here is the b value in y=mx+b, so your line will just move up to have a y-intercept at (0,35) the equation will be y=4.5x+35

Part 2
Here the m value is being changed so your line will just flatten out a bit and the new equation will be y=3x+25

Hope this helps!

a) The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

b)The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

We have given that the function

[tex]f(x) = 4.50x + 25[/tex]

A florist charges $25

Now we have given condition the cost is raised to 35$

We use we use the slope intercept form

What is the slope intercept form?

[tex]y=mx+C[/tex]

y is function f(x) C=vase cost, and m= charge per flower

Therefore we get,

[tex]y=f(x),m=4.50 and c=25[/tex]

we have given condition C=35$

So  the  line will just move up to have a y-intercept at (0,35) the equation will be,

[tex]y=4.5x+35[/tex]

Therefore,

The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

We have given that the charge per flower is lowered to 3$

So the slope

[tex]m=3[/tex]

Here the m value is being changed so your line will just flatten out a bit and the new equation will be

[tex]y=3x+25[/tex]

The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

To learn more about the slope intercept form visit:

https://brainly.com/question/1884491

[tex]\sqrt{36}+\sqrt{25}=\sqrt{49}[/tex]

Answers

Answer:

good i be able to make it to the meeting tonight but I will be there at television show to the store and get some rest and feel better soon and that is why I am asking

Find the slope between (9,-2) and (-1,5)

Answers

Answer:

7/-10

Step-by-step explanation:

subtract

5-(-2) = 7

-1-9 = -10

Answer:

The slope is -0.7 or -7/10

Step-by-step explanation:

For 10 x values decreased, the y values go up 7 values. So the slope is -7/10 or -0.7

I hope that this helps! :)

Ashley started the year with 45 comic books. Each month, she adds 5 more comic books to her collection. Which table correctly represents y, the number of comic books in her collection, after x months? A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries 5, 50, 95, 140. A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries 45, 50, 55, 60. A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 15. Column 2 is labeled y with entries 45, 46, 47, 48. A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 15. Column 2 is labeled y with entries 45, 90, 135, 180.

Answers

Answer:

C

Step-by-step explanation:

Hope this helps

please mark as brainlist

Answer:

c

Step-by-step explanation:

HELP ME PLEASE ASAP?!
If the pattern below follows the rule "Starting with one, every consecutive line
has a number that is one more than twice the previous line," how many
marbles must be in the sixth line?
A. 63
B. 31
C. 13
D. Need more information

Answers

Answer:

It should be A

Step-by-step explanation:

The answer to this question is B.

please help me thanks .

Answers

Answer:

3 and 3/4

Step-by-step explanation:

Answer:

121.5 :) hope this helped

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