Triangle ABC is similar to triangle DEF with a ratio of 3/5 If the difference of their
perimeters is 40 inches, find the perimeter of each triangle.

Answers

Answer 1

9514 1404 393

Answer:

ΔABC -- 60 inchesΔDEF -- 100 inches

Step-by-step explanation:

If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...

  P -3/5P = 40 in

  2/5P = 40 in

  P = (5/2)(40 in) = 100 in

  3/5P = 3/5(100 in) = 60 in

The smaller triangle perimeter is 60 in; the larger is 100 in.


Related Questions

Find the slope that is PARALLEL and PERPENDICULAR to the equation of the line y = -1/2x+6.

Answers

Step-by-step explanation:

the slope that is PARALLEL to the equation of the line y = -1/2x+6 is -1/2.

and the slope that is PERPENDICULAR to the equation of the line y = -1/2x+6 is :

-1 ÷ -½ = 2

what is the slope of the line

Answers

Answer:

i think zero but i suck at slope

Step-by-step explanation:

pew pew

PLASEEEEEEEEEEEE HLEPPPPPPPPPPPPP

Answers

Answer:

1. the smiley face, the top right corner.

2. top left corner again

3. rotation i think...

4.  e looks like the answer not sure.

Step-by-step explanation:

ez... maybe

Answer:

1st page-1

2nd page-b on the second line

3rd-b

4th-a

5th-c

Step-by-step explanation:

Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).

In slope intercept form

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

y -  [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~

m = - [tex]\frac{1}{2}[/tex]

( - 10, 1 )

y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]

y - 1 =  - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)

y = - [tex]\frac{1}{2}[/tex] x - 4


MN has endpoints at M(2,5) and
N(-4, 3). In what quadrant is the midpoint
of MN?
A Quadrant |
B Quadrant II
C Quadrant IIl

Answers

Answer:

quad 2

Step-by-step explanation:

Midpoint = (x1 + x2)/2,(y1 + y2)/2

x1 = 2

x2 = - 4

y1 = 5

y2 = 3

midpoint = (2 - 4)/2,(5 + 3)/2

midpoint = -2/2, 8/2

midpoint = -1,4

-1 for x puts you in quad 2 or 3

4 for y puts you in quad 2 because you are going up.

The final answer is in quad 2

the four vertices of a parallelogram are (3,2) (6,3) (9,6) and (a,B) find a and b​

Answers

Answer:

(15,8)

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.
If we label the points A(3,2) B(6,3) C(9,6) and D(a,b)
To get from A to B we can move 3 right and 1 up
If the parallelogram was labelled anticlockwise then
to get from C the D we need to go 3 left and 1 down
This would make D the point (9 - 3, 6 - 1) = (6,5)

AB || DC because both have a slope of 1/3 [because (3 - 2)/(6 - 3) = (6 - 5)/(9 - 6)]
AD || BC because both have a slope of 1 [because (5 - 2)/(6 - 3) = (6 - 3)/(9 -6)]

You could make D (12,7) but then the corners would not be labelled in order which is the accepted method
In this case the slopes of AC and BD both be 2/3 [because (6 - 2)/(9 - 3) = (7 - 3)/(12 - 6) = 4/6]

Can any one solve it.Please

Answers

It's false. Consider f(x) = 1/x. This function is both continuous and decreasing on [1, ∞), and has a limit of 0 as x approaches infinity. But the integral diverges.

342,475 plus 71,925


Thank you

Answers

414400 Hope this helped!

Answer:

414,400

Step-by-step explanation:

[tex]342.475 + 71.925[/tex]

[tex] = 414.400[/tex]

Evaluate (y - 9) + (3 + x), when y = 15 and x = 5

Answers

Hi ;-)

[tex]y=15 \ and \ x=5\\\\(y-9)+(3+x)=(15-9)+(3+5)=6+8=\boxed{14}[/tex]

Answer:

14

Step-by-step explanation:

(y-9)+(3+x)

(15-9)+(3+5)

6+8

14

6. If there are 60 studensts in a class, 20 students are absent. Then, find the percentage of absent students.​

Answers

Answer:

60:20

100:?x

60×x=100×20

=33.333 %

1/4 luke's marbles are white, 3/8 are blue, and the rest are 30 yellow marbles. How many of the marbles are white.

Answers

Answer:

It is 20 white marbles

step by step explanation:

Fraction of the yellow marbles:

[tex]1 - \frac{1}{4} - \frac{3}{8} = \frac{3}{8} [/tex]

let total number of marbles be x :

[tex]{ \sf{ \frac{3}{8} \: of \: x = 30 \: yellow \: marbles}} \\ \\ \frac{3}{8} \times x = 30 \\ \\ 3x = 30 \times 8 \\ 3x = 240 \\ x = 80[/tex]

Total marbles = 80 marbles

for white marbles:

[tex] = \frac{1}{4} \times 80 \\ \\ = 20[/tex]

One more big help you guys

Answers

Answer:

[tex]\frac{1}{5^{7} }[/tex]

The last one!
Hope this helps :)

Samuel reads 19 pages per hour. In all, how many hours of reading how many hours of reading will Samue l have to do this week in order to have read a total of 38 pages?

Answers

Answer:

Just 2 hours

Step-by-step explanation:

Since it takes 1 hour for 19, 19+19 is 38, so it takes 2 hours

Francisco wrote these notes on one of the scientists who contributed to cell theory:


1838

Studied plants

Used a microscope

Concluded that plants are made of cells


Who are these notes about?


Virchow

Schleiden

Leeuwenhoek

Schwann

Answers

In 1838 Scientist, Schleiden concluded that all plants are made up of cells

Answer:

Schleiden in 1838 said plants are made cells

Step-b

Find the equation of the line that is parallel to y = 2x - 3 and passes through the
point (0,7).

Answers

Answer: [tex]y=2x+7[/tex]

Step-by-step explanation:

Let's introduce couple variables [tex]m_{1}[/tex] (slope of your equation) and [tex]m_{2}[/tex] (slope of the equation we need to find.

Parallel lines have the same slope, therefore: [tex]m_{1} = m_{2}[/tex], where [tex]m_{1}=2[/tex] and this means that [tex]m_{2} = 2[/tex] as well.

Given that we will use point-slope equation form with the point (0,7):

[tex]y-y_{1} =m(x-x_{1} )\\[/tex] where [tex](x_{1}, y_{1} )[/tex] is the point

Let's substitute:

[tex]y-7=2(x-0)\\[/tex]

And calculate:

[tex]y-7=2x\\[/tex]

Now we just need to isolate [tex]y[/tex] by subtracting 7 from both sides:

[tex]y=2x+7\\[/tex]

That's it!

Here's the graph to show the results:

Where does the graph of the line y = x − 2 intersect the x-axis

Answers

(0,2) is your answer

Explanation

Evaluate the variable expression x + y for the given values of x and y. x = 38,221; y = 51,671

Answers

Answer:

89,892

Step-by-step explanation:

[tex]x+y[/tex]

[tex](38,221)+(51,671)[/tex]

[tex]89,892[/tex]

Elementary algebra 1/4 divided by 3 equals

Answers

Answer:

1/12

Step-by-step explanation:

multiply by three so 4x3 is 12 and that's 3 equal parts

Titik ( 2,3 ) ditranslasi oleh (3 4) Koordinat bayangannya adalah

Answers

Answer:

6,2 kordinat 34,5 h2 semoga membanti

Given that the equation of a straight line is 2y - 3x + 6 = 0,
(a) Express the equation of the straight line in the form of y = mx + c
(b) Write down the y-intercept (C) of the equation​

Answers

Step-by-step explanation:

Hi there!

Given;

The equation of straight line is 2y-3x+6 = 0.

a. Express in the form of y = mx + c.

2y-3x+6 = 0

2y = 3x-6

y = (3x-6)/2

y = (3/2)X - 3

Therefore, the required equation is : y = (3/2)x-3.

b.

The y-intercept of the equation is -3.

Hope it helps!

There is one third of a cake shared equally between 5 children. How much of the cake does each child receive? Use the number line to help you.

Answers

Answer:

1/3÷5

=1/3×1/5

=1/15

each child receive 1/15 of cake

Please let me know fast

Answers

Answer:

b) 0

Step-by-step explanation:

[tex]a(b-c)+b(c-a)+c(a-b)\\\\ab-ac+bc-ba+ca-cb\\\\0[/tex]

Find the slope of the straight line that passes through the following pair of points. (-4,1) and (2,6) ​

Answers

Answer:

5/6

Step-by-step explanation:

(6-1)/(2- -4) --> 5/6

Answer: Slope = 5/6

Concept:

Here, we need to know the idea of a slope.

A slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = (y₂ - y₁) / (x₂ - x₁)

Solve:

Given information

(x₁, y₁) = (-4, 1)

(x₂, y₂) = (2, 6)

Given equation

Slope = (y₂ - y₁) / (x₂ - x₁)

Substitute values into the equation

Slope = (6 - 1) / (2 - (-4))

Simplify values in parentheses

REMEMBER to change signs whenever a [+, -] meets [-] sign

Slope = 5 / (2 + 4)

Slope = 5/6

Hope this helps!! :)

Please let me know if you have any questions

Supervisor: "You have been averaging 55 sales per day. Per our new policy, everyone
needs to increase his or her sales per day by 10% in the next month. Rounding up, by
next month you will need to be up to
sales."

Answers

Answer:

22

Step-by-step explanation:

6. Find the areas of the rectangles with the following side lengths.
C.
a. 5 in and 1/3 in

Answers

9514 1404 393

Answer:

  5/3 in²

Step-by-step explanation:

The area of a rectangle is the product of length and width.

  A = LW

  A = (5 in)(1/3 in) = 5/3 in² = 1 2/3 square inches

Evaluate the expression when x=25 and y = – 4.
VX y
S!
y
у
y
(Type an integer or a simplified fraction.)

(SOMEONE PLEASE ANSWER TIMED TEST)

Answers

Answer:

answer is xy

Step-by-step explanation:

✓x-y=xy

y x=xy

solve for x,
7x+14÷3 - 17-3x ÷5=6x - 4x+2÷3-5​

Answers

Answer: x = 4

Step-by-step explanation:

Given equation

7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5

Combine like terms on both sides

(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5

4x + 14/3 - 17 = 2x + 2/3 - 5

Subtract 2/3 on both sides

4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3

4x + 12/3 - 17 = 2x - 5

4x + 4 - 17 = 2x - 5

4x - 13 = 2x - 5

Add 13 on both sides

4x - 13 + 13 = 2x - 5 + 13

4x = 2x + 8

Subtract 2x on both sides

4x - 2x = 2x + 8 - 2x

2x = 8

Divide 2 on both sides

2x / 2 = 8 / 2

[tex]\boxed{x=4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Sets question with option answers. Help please

Answers

Answer:

best bet is 6

Step-by-step explanation:

The sum of the first 20 terms of an arithmetic is 50, and the sum of the next 20 terms is -50. Find the is first term and command difference of the sequence?

Answers

Answer:

[tex]a_1=\frac{39}{8}; \ d=-\frac{1}{4}.[/tex]

Step-by-step explanation:

1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;

2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;

for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.

3) if to solve the system of two equations, then:

[tex]\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.[/tex]

4) finally: the first term is '39/8', the difference is '-1/4'.

Suppose Sofia is considering a 5-year loan for $6,000 at an interest rate of 7%. Use the table to complete the statements. Type the correct answer in each box. Round your answer to the nearest cent. Monthly Payment per $1,000 of Principal Rate 1 Year 2 Years 3 Years 4 Years 5 Years 6.5% $86.30 $44.55 $30.65 $23.71 $19.57 7.0% $86.53 $44.77 $30.88 $23.95 $19.80 7.5% $86.76 $45.00 $31.11 $24.18 $20.04 8.0% $86.99 $45.23 $31.34 $24.41 $20.28 8.5% $87.22 $45.46 $24.65 $24.65 $20.52 9.096 $87.45 $45.68 $31.80 $24.89 $20.76 Sofia's monthly payment would be $118.80 The total number of monthly payments that Sofia would make over the life of the loan is 60 finance charge on her loan would be $1,128.00​

Answers

a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.

b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.

c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.

How is monthly payment calculated?

The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.

Data and Calculations:

Loan amount = $6,000

Maturity period = 5 years

Interest rate = 7%

N (# of periods) = 60 months (5 years x 12)

Results:  

Monthly Payment = $118.81 ($34.02 + $84.79)

Mortgage Payment = $7,128.60 ($118.81 x 60)

Total of 60 Mortgage Payments $7,128.60

Total Interest = $1,128.60 ($7,128.60 - $6,000)

Monthly Amortization Schedule (for the first 3 months)

 Date Beginning Balance   Interest    Principal        Ending

                                                         Repayment    Balance

1 3/2022       $6,000.00             $35.00     $83.81       $5,916.19

2 4/2022         $5,916.19               $34.51     $84.30      $5,831.90

3 5/2022        $5,831.90              $34.02     $84.79      $5,747.11

Learn more about calculating monthly payments at https://brainly.com/question/24576997

Answer:

The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.

So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.

A 5-year loan will have 60 monthly payments since 5 × 12 = 60.

Multiply the monthly payment by 60 months to get the total amount paid on the loan:

$118.80 × 60 = $7,128.

To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:

$7,128 − $6,000 = $1,128.

Step-by-step explanation:

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