Mathematics High School

triangle ABD~ triangle DBC the perimeter of triangle ABD=36, fond the perimeter of triangle DBC.

Answers

Answer 1

Answer:

Perimeter of ΔDBC = 48 units

Step-by-step explanation:

It's given in he question,

ΔABD ~ ΔDBC

Therefore, by the definition of similar triangles,

Corresponding sides of both the triangle will be proportional.

[tex]\frac{AB}{DB}= \frac{BD}{BC}= \frac{AD}{DC}[/tex]

[tex]\frac{9}{12}= \frac{12}{16}= \frac{AD}{DC}[/tex]

[tex]\frac{3}{4}=\frac{AD}{DC}[/tex]

AD = [tex]\frac{3}{4}DC[/tex] ----------(1)

Since, perimeter of ΔABD = 36,

AB + BD + AD = 36

9 + 12 + AD = 36

AD = 36 - 21

AD = 15

From equation (1),

15 = [tex]\frac{3}{4}(DC)[/tex]

DC = 20

Perimeter of ΔDBC = DB + BC + DC

= 12 + 16 + 20

= 48

Therefore, perimeter of ΔDBC = 48 units is the answer.

Related Questions

Mason’s mom bought g games online. The games cost $12 each plus a $7 shipping fee.write an equation.

Answers

Answer:

f(x) = 12x + 7

Step-by-step explanation:

easy

Answer:

12g + 7 = total price

Step-by-step explanation:

Will mark brainliest for whoever answers correctly

Answers

Step-by-step explanation:

r = 3 √ 3V / 4π

is the correct answer of this question .

Gabby makes banana bread at her bakery every Monday and Wednesday,
Her banana bread calls for the ratio of ingredients shown
5 cups of sugar for every 50 tablespoons of butter
80 tablespoons of butter for every 32 bananas
Complete that table to show the ratio of ingredients Gabby used to make her
banana bread.

Answers

Answer:

Monday:

Cups of Sugar: 3

Tablespoon of Butter: 30

No. of Bananas: 75

Wednesday

Cups of Sugar: 1.12

Tablespoons of Butter: 11.2

No. of Bananas: 28

find the quotient. -105/15=

Answers

Answer:

-7

Step-by-step explanation:

Hope this helped! :)

15 x -7 = -105
so the answer is -7

Find the area of the similar
figure.
20cm
25cm
Area = 320cm2 Area = [?]cm2

Answers

Given:

Base of smaller figure = 20 cm

Area of smaller figure = 320 cm²

Base of the larger figure = 25 cm

To find:

The area of the larger figure.

Solution:

We know that the areas of the similar figure are proportional to the square of corresponding sides of them.

Let A be the area of the larger figure.

[tex]\dfrac{\text{Area of the larger figure}}{\text{Area of the smaller figure}}=\dfrac{(\text{Base of the larger figure})^2}{(\text{Base of the smaller figure})^2}[/tex]

[tex]\dfrac{A}{320}=\dfrac{(25)^2}{(20)^2}[/tex]

[tex]\dfrac{A}{320}=\dfrac{625}{400}[/tex]

[tex]\dfrac{A}{320}=\dfrac{25}{16}[/tex]

Multiply both sides by 320.

[tex]A=\dfrac{25}{16}\times 320[/tex]

[tex]A=500[/tex]

Therefore, the area of the larger figure is 500 cm².

What is the equation of the line that passes through (0, -2) and has a slope of 0?

y = -2
y = 2
x = 2

Answers

Answer:

y = - 2

Step-by-step explanation:

A line with a slope of 0 is a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (0, - 2) with y- coordinate - 2 , then

y = - 2 ← equation of line

Y=-2
S=0
Solve for both

Solve the following system of equations
3x-3y=4
-3x+3y=3

Answers

Answer:

Step-by-step explanation:

1. Elimination

2. zero solutions

0 ≠ 7

Can you write a 5 sentence summary about the substitution method?

Answers

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

The moving of the orientation or position of an angle changes the measurement of the angle. True or false

Answers

Answer:

the correct answer is true

Answer:

I believe this is true!

Hope that helps!

Please help:))))) AsAP

Answers

Answer:

10b-2b-8x+14

(the last one)

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x + 8b = x + 5x + 8b

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.25 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

Answers

Assumed 20% tip is on the discounted meal.

The cost of the meal is $78.65 .

The cost of the meal after discount (15%) is

78.65⋅(1−0.15)≈$66.85

Tip (20%) is : 66.85⋅0.2≈$13.37

Total cost of the meal is 66.85+13.37≈$8

help me pleaseeeeeeeee

Answers

Answer:

15m squared

Step-by-step explanation:

1 + 3+ 1 + 3 + 1 + 5 + 1 = 15

Answer:

Step-by-step explanation:

We know that the length of the middle rectangle is 1 + 3 + 1 + 3 = 8 and that the width is 5 so 8 x 5 = 40. We have two rectangle with a width of 1 and a length of 3 so 2 x 1 x 3 = 6. 40 + 6 = 46.

Choose all the ways the ratio of five girls to 9 boys can be written. the options are
9:5
9 to 5
5:9
5 to 9
5/9
9/5 i need helppp im so confused.

Answers

Answer:

5/9

5 to 9

5:9

hope this helps <3

Answer:

5/9,

5:9,

and 5 to 9

The equation y = 700x + 800 models the typical annual cost, y, in dollars, of medical expenses x years after a person’s 20th birthday. What does 800 represent?

Answers

Answer:the annual medical expenses for a typical 20 yr old

Answer:

y=-2x+3

Step-by-step explanation:

hope this helps

Answer:

y = -2x + 3

Step-by-step explanation:

So you want to put it in the form y = mx + b where m is the slope and b is the y-intercept (an example of an equation in this form is y = 2x + 1).

It tells you that the slope is -2 and the y-intercept is at y = 3, so the equation would be:

y = -2x + 3

2(2b+2cd)
(2+b) (2a+7)

Answers

Step-by-step explanation:

The answer to the first one is: 4cd+4b.

The answer to the second one is: 2ab+4a+7b+14

(I'm assuming that you want to simplify)

Kevin is sowing seeds in the flower beds of his garden. He sowed 30% of the flower beds in 15 minutes. How much longer will it take him to sow the rest of the field?

Answers

Step-by-step explanation:

A student asked to write a prime factorization of 175. He wrote 7·25

The prime factorization of 175 will be given by :

[tex]175=7\times 5\times 5[/tex]

It means, he has written it wrong as 7·25. It should be 7·5·5.

Hence, this is the required solution.

Answer:

175 = 7·5·5

Step-by-step explanation:

A student asked to write a prime factorization of 175. He wrote 7·25

The prime factorization of 175 will be given by :

It means, he has written it wrong as 7·25. It should be 7·5·5.

Hence, this is the required solution.

Alfredo's bank charges an $8 service fee each month if his account goes below $500. In June, Alfredo had $510 in his account. He withdrew $25 and then did not have any transactions in his account for 6 months. a. Write as an integer the amount by which Alfredo's bank balance changed during the six months.

Answers

Answer:

$48

Step-by-step explanation:

Given that he is charged $8 service fee each month if his account goes below $500. If he has $510 and withdraws $25 the amount in account would be

= $510 - $25

= $485

This is below $500 hence he will be charged $8

Since he did not have any transactions in his account for 6 months, the change in his account as a result of the monthly charge

= 6 * $8

= $48

3/4÷5 y multiplica el resultado por 4

Answers

Answer:

[tex]0.6[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} / 5 = 0.15[/tex]

[tex]0.15[/tex] x [tex]4[/tex] = [tex]0.6[/tex]

Hope I helped! Check out my profile for more answers!

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help me

for question 6, write the equation in standard form ax by=c (show your work). from: y=m b to Ax By=c

Answers

Since you have the slope m = -3 and the point (-9, -2) you can use the Slope Intercept Form to find b

y = mx + b

-2 = -3(-9) + b

-2 = 27 + b

Subtract 27 from both sides of the equation to get b

-2 - 27 = b

-29 =b

And the Slope Intercept Form

y = -3x -29

Now you can rearrange the Slope Intercept Form to give the Standard Form by adding 3x to both sides of the equation.

y + 3x = -29

I hope you find this useful and if you have any questions please send me a message.

$2500 at 5% for 60 months

What's the answer ?
Quick!

Answers

Answer:

0.04%

Step-by-step explanation:

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