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astra-53 [7]
3 years ago
9

What is the area of triangle DEF

Mathematics
1 answer:
kolezko [41]3 years ago
3 0

Answer:

76.5 cm²

Step-by-step explanation:

Given the triangles are similar , then

ratio of sides = a : b , so

ratio of areas = a² : b²

Here ratio of sides = 9 : 13.5 = 2 : 3

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ DEF and using proportion

\frac{4}{34} = \frac{9}{x} ( cross- multiply )

4x = 306 ( divide both sides by 4 )

x = 76.5

The area of Δ DEF = 76.5 cm²

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The cost of admission to a popular music concert was 162 dollars for 12 children and 3 adults.The admission was 122 dollars for
pogonyaev

Answer: the cost of admission for each child is $10

the cost of admission for each adult is $14

Step-by-step explanation:

Let x represent the cost of admission for each child.

Let y represent the cost of admission for each adult.

The cost of admission to a popular music concert was 162 dollars for 12 children and 3 adults. This is expressed as

12x + 3y = 162- - - - - - - - - - - - -1

The admission was 122 dollars for 8 children and 3 adults in another music concert. This is expressed as

8x + 3y = 122- - - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

4x = 40

x = 40/4

x = 10

Substituting x = 10 into equation 1, it becomes

12 × 10 + 3y = 162

120 + 3y = 162

3y = 162 - 120

3y = 42

y = 42/3

y = 14

7 0
3 years ago
. Each week, Emma earns $x working at a store and receives $15 babysitting. To find how much she will earn in total over 3 weeks
dsp73

Answer:

She could do 3x+45


Step-by-step explanation:

for 3 weeks and x amount of money would be 3x, and for 15 a week for baby sitting. 15*3=45. This gives you the equation 3x+45 .

3 0
4 years ago
How can turn a percentage to a fraction
Dovator [93]

Say if you have 11% and you want to turn it into a fraction all you got to do is put 11 as your numerator and 100 as your denomanator. Or if it is 75% you have to do the same but simplify and its would make 15/20 then simplify again and its 3/4

3 0
3 years ago
A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up? please help!!!! I
Setler [38]

Answer:

A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up?

=

$386.40

3 0
3 years ago
The annual health insurance premium for Ms.Everett is $12,304. Her employer pays 70% of the premium and deducts the remainder fr
gayaneshka [121]

Answer:

The amount deducted for Ms.Everett‘s paycheck for her health insurance premium is $307.6

Step-by-step explanation:

given information:

annual insurance = $12304

employer pay annually = 70%

first we calculate the annual insurance paid by the employer

employer paid annual insurance = 70% x $12304

                                                      = $8612.8

then, we calculate the insurance paid by Ms. Everett annually

Ms. Everett paid annual insurance =  $12304 - $8612.8

                                                         = $3691.2

thus, amount is deducted for Ms.Everett‘s paycheck for her health insurance premium

Ms. Everett's paycheck deduct = $3691.2/12

                                                     = $307.6

7 0
3 years ago
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