Jake wanted to measure the width of the pond, so
he drew this diagram of two similar triangles.
What is the approximate width, w, of the pond?

Answer:

First side is 19, second side is 38 and third side, the longest is 43.

Step-by-step explanation:

Let's call the first side a.  

The second side, being twice as long as the first, is 2a.

The third side is 2a+5.

The equation is:

a+2a+2a+5=100, since 1 metre is 100 centimetre.

5a+5=100

5a=95

a=19

First side is 19, second side is 38 and third side, the longest is 43.

An equation is formed of two equal expressions. The length of the longest side of the triangle is 43 cm.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given to us that the first side of a triangle is x cm long, The second side is twice as long as the first, The third side is 5 cm longer than the second side and The perimeter of the triangle is 1 metre. Therefore,

Since the perimeter of the triangle is 1 meter which is equal to 100 cm. And the perimeter is the sum of all the sides of a triangle. The perimeter can be written as,

[tex]x+(2x)+(2x+5) = 100\\\\x+2x+2x+5=100\\\\5x+5=100\\\\5x=95\\\\x=19[/tex]

Thus, the value of x is 19.

A.)  The equation that represents this condition is x+2x+2x+5=100.

B.) The length of the longest side of the triangle is 2x+5, where the value of x is 19. Therefore, the length of the longest side can be written as,

[tex]\text{Length of the third side} =2x+5 =2(19)+5=38+5=43\rm\ cms[/tex]

Thus, the length of the longest side of the triangle is 43 cm.

Learn more about Equation:

https://brainly.com/question/2263981

Answer:

150° I guess I'm not really sure

Answer:

150

Step-by-step explanation:

These angles will always equal to 360

s = 30

1 = 150

30 + 30 + 150 + 150 = 360

Have a good day! I hope this helps!

Answer: 2

Step-by-step explanation:

I think that is the answer :)

Answer:  Pablo: 1:5 Sam: 16.50

Step by Step Explination:

Answer:

the teacher bought 100 balloons, and 95 of them were left for the party.

Step-by-step explanation:

red balloons is given, 40.

first you find the green balloons.

the number of green balloons is 3/5 the number of red balloons.

3/5 * 40 = 24

so there are 24 green balloons.

next is yellow balloons.

the number of green balloons is 2/3 the number of yellow balloons.

24 = 2/3 * x

24 ÷ 2/3 = x

24 ÷ 2/3 = 36

there are 36 yellow balloons.

find the total balloons:

40 + 24 + 36 = 100

the teacher bought 100 balloons.

1/20 of the red balloons popped.

1/20 * 40 = 2

2 of the red balloons popped

1/12 of the green balloons popped

1/12 * 24 = 2

2 of the green balloons popped.

1/36 of the yellow balloons popped

1/36 * 36 = 1

1 yellow balloon popped

2 + 2 + 1 = 5

100 - 5 = 95

there were 95 balloons left for the party.

Answer:

Given - Ratio of boys to girls is 3 : 1

Total 36 students

To find - No. of girls

Solution

Let the ratio be 3x and X

3x + X = 36

4x = 36

x = 36/4

x= 9

1x = 9

There are 9 girls in the class

Answer:

9 girls

Step-by-step explanation: If u write it out like this 3:1 6:2 and onwards till the two numbers add to 36 you will get the answer of 9 this should be right sorry if it isn't

Answer:

A) 40 + d

B) 45 days

Step-by-step explanation:

A)

total cost = (cost of the air conditioner itself) + (money charged per day)*(days)

cost of air conditioner itself = $40

money charged per day = $1

days = d

40 + 1*d

= 40 + d

B)

total cost = 40 + d

total cost = $85

85 = 40 + d

45 = d

Time used the air conditioner for 45 days.

Answer:

There is a 3/7 chance for a gray kitten, a 4/7 chance for a male kitten, and a 1/7 chance for a gray male kitten.

Step-by-step explanation:

Total Kittens = 7 (each of the following will be out of the total amount of kittens)

2/7 = Gray Female

1/7 = Gray Male

1/7 = Black Female

3/7 = Black Male

Total Male Kittens = 4/7

Total Gray Kittens = 3/7

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

f(x) = √2x-4

f(20) = √2(20)-4

f(20) = √40-4

f(20) = √36

f(20) = 6

Answer:

1. $0.24

2. 89.2 miles

Step-by-step explanation:

To get the unit price, divide the total price by the amount that was purchased.

1. 3.12/13 = $0.24

For the second one, get the distance traveled per hour first then multiply by 8.

22.3 / 2 = 11.15

11.15 x 8 = 89.2

My favorite subject is Math, my favorite animal is a dog, and my favorite color is blue.

Answer:

My favorite subject is biology, my favorite animal is a quokka, and my fav color is pink :)

Step-by-step explanation:

Answer:

[tex]m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, -1)

Point (-4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

You can add are subtract

Answer:

Im sorry but I have no idea

Step-by-step explanation:

Answer:

The answer should be 258

Step-by-step explanation:

Because my teacher taught us this. And we divided. So if you divide 12,000 by 2.15% that give you 258. I really hoped this helped!

Answer:

330 miles

Step-by-step explanation:

If in 2 hours he drove 110 and you need to know how much miles will he have drove in 6, first you need to know if 2 is a multiple of 6, in this case it is so now you just divide 6/2 which is 3 so you multiply 110X3 wich gives you 330

C is ur answer............

Answer: the answer is 6

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

you have to do ratios like

3=3 6=6 for sodas

and hotdogs

2=5 4=10 6=15 8=20 10=25 12 =30

hope this helps

-mercury

Answer:

yes it is possible

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

2^3*3

Step-by-step explanation:

Answer:

0.24 for each banana, it seems cheaper.

Step-by-step explanation:

Answer:

the image is not clear can you send another one

Step-by-step explanation:

Answer:

rock climb costs $7

Step-by-step explanation:

2 laser tags +3 rock climb = $31   ( 1 )

4 laser tags + 1 rock climb = $27   (2)

multipy (1) by -2 and add the equations

-4 laser tags -6 rock climb = $ -62  

4 laser tags + 1 rock climb = $27

-6 rock climb +1 rock climb = -62+27

-5 rock climb = -35 divide both sides by -5

1 rock climb = $7

Answer:

Step-by-step explanation:

(x/13) cm

Answer: x/13 = y.

Step-by-step explanation: Let x represent the total length of the timber. Then, 13 will represent the number of pieces it will be divided into. Finally, y represents the length of each individual size.

Answer:

The answer is 4 feet and 3 inches.

Step-by-step explanation:

Answer:

a.) x=10

Step-by-step explanation:

3(10)+28= 30+28

58

5(10)+52= 50+52

102

2(10)-10= 20-10

10

58+102+10= 180

Answer:

add all of the angles which equals to 180 degree

being

3x + 28 + 5x + 52 + 2x + 10=180°

which is

10x + 90 = 180

x = 180-90/10

x=11

Step-by-step explanation:

then find the value of x for each angle

second picture unclear.

thank me later

do follow me on insta

_s.a.t.h.y.a.m_

have a great day

Answer:

I think D

Step-by-step explanation:

because all the information seems important

Answer:

16

Step-by-step explanation:

[tex](9+V-4)-(5+V-16)\\=9+V-4-5-V+16\\=9+V-9-V+16\\=16[/tex]