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OLEGan [10]
3 years ago
6

Solve similar triangles (advanced)

Mathematics
2 answers:
atroni [7]3 years ago
7 0

Answer:

<em>x = 24 </em>

Step-by-step explanation:

The corresponding sides of similar Δs are proportional.

ΔADE ~ ΔABC ⇒ \frac{AD}{AB} = \frac{DE}{BC} = \frac{AE}{AC}

AD = x + 8 ; DE = 8

AB = x ; BC = 6

\frac{x+8}{x} = \frac{8}{6} ⇔ 8x = 6(x + 8) ⇒ <em>x = 24</em>

tatiyna3 years ago
7 0

Answer:

<h3>x = 24</h3><h3></h3>

Step-by-step explanation:

<u>  6  </u>= <u>   x    </u>    

 8     x + 8

8x = 6x + 48

8x - 6x = 48

2x = 48

x = 48/2

x = 24

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Please solve the problem. If you solve correctly I will give u the brainlist.
Schach [20]

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.

<em>the number of green balloons is 3/5 the number of red balloons.</em>

3/5 * 40 = 24

so there are 24 green balloons.

next is yellow balloons.

<em>the number of green balloons is 2/3 the number of yellow balloons.</em>

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.

5 0
3 years ago
Janice and Emily are selling raffle tickets. So far they have sold 42 tickets, which is 12% of what they're trying to sell. How
Degger [83]

Answer:

350 tickets

Step-by-step explanation:

if you do 42/350, it would equal 12%, so 350 is the total

7 0
3 years ago
Pls answer this ASAP
stira [4]

Based on the table given on the punch recipe, the correct answers are:

  • 48 cups.
  • 48 cups.
  • 8
  • 8 cups of frozen strawberry.

<h3>What does the table on the punch recipe show?</h3>

3 gallons of punch in cups is:

= 16 cups per gallon x 3 gallons

= 48 cups

The amount that Chandra should multiply each ingredient by is:

= 48 cups / 6 cups per recipe

= 8

The number of cups of frozen strawberries needed is:

= 8 x 1

= 8 cups

Find out more on ratios and quantities at brainly.com/question/24910157.

#SPJ1

7 0
2 years ago
You are baking brownies for your class. There are 28 total students in your class and you have baked 23 brownies. Write and solv
barxatty [35]

Answer:

2(28)=23+x

Step-by-step explanation:

There are 28 students and each student needs two brownies. You have to multiply 28 by 2 so you will have to total number on one side.

On the other you need to have the number of brownies you have at the moment and x for the number you need to bake. You want to add them because you will need to put those numbers together to get the number on the opposite side.

28x2=56 so 56=23+x. Subtract the 23 from both sides to get 33=x. x=33

To check plug 33 into x to get 2(28)=23+33. 56=23+33. 56=56

you need 33 more brownies.

So the equation would be 2(28)=23+x.

Hope that helps.

3 0
3 years ago
In a series of 4 one day cricket matches, the runs scored by Pakistan and Australia are given below: (06 Marks) Match Pakistan A
photoshop1234 [79]

Step-by-step explanation:

Scores of Australia in all four matches starting from 1st 208, 192, 241, 203 respectively.

Similarly, scores of Pakistan in all four matches starting from 1st 102, 202, 360, 276 respectively.

The avg of  Pakistan in one match = (102+202+360+276)/4 = 235

The avg of  Australia in one match = (208+192+241+203)/4= 211

Since, the avg score of Pakistan is more than that of Australia, Pakistan performed better.

8 0
3 years ago
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