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sergeinik [125]
4 years ago
11

Please help, x = ? thank you!

Mathematics
2 answers:
4vir4ik [10]4 years ago
6 0

Answer: 9.8

Step-by-step explanation:

This is a question that requires you to use ratios and proportions. The quadrilaterals that you have shown in the picture are similar, meaning that they share similar ratios and proportions. Thus, we can assume this:

- 5:7

- 3:4.2

- 2:2.8

- 7:x

To solve for x, we can just take any other ratio and equal it to the 7:x ratio. I'll take 5:7 for example.

5:7 = 7:x, which can also be rewritten as \frac{5}{7} = \frac{7}{x}

Let's solve for x by cross-multiplying numbers that when a straight line is made, they are real numbers, and then divide.

Here, it should be:

7*7 / 5 = 49/5 = 9.8

The answer should be 9.8.

masya89 [10]4 years ago
4 0

Answer:

x = 9.8

Step-by-step explanation:

They are same shape so we just get the ratio.

AB/JK = BC/KL

5 / 7 = 7 / x

5x = 49

x = 9.8

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What’s 39,204 divided by 54
ozzi

Answer:

726

Step-by-step explanation:

39204/54=726

7 0
3 years ago
Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help
Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

x=y-8 ----> y=x+8 ----> equation A

xy=105 ----> equation B

substitute equation A in equation B

x(x+8)=105

x^2+8x-105=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+8x-105=0

so

a=1\\b=8\\c=-105

substitute in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}

x=\frac{-8(+/-)\sqrt{484}} {2}

x=\frac{-8(+/-)22} {2}

x=\frac{-8(+)22} {2}=7

x=\frac{-8(-)22} {2}=-15

Remember that the solution cannot be a negative number

so

The solution is x=7

therefore

Marco's age is 7 years old

4 0
4 years ago
A school has 500 students. 340 are boys
bogdanovich [222]

Answer:

p = 8/25

Step-by-step explanation:

500 - 340 = 160 girls

p = 160/500

p = 8/25

5 0
3 years ago
What is the solution to the equation 9k = 40.5?<br><br> k= 4<br> k= 4.5<br> k= 5
Scilla [17]

Answer:

k=4.5

Step-by-step explanation:

40.5/9

3 0
4 years ago
Read 2 more answers
7(3x/1)=-1<br>its distributive property but I don't know how to solve it​
Lelu [443]
7(3x/1)=-1
7(3x)=-1
21x=-1
21x/21=-1/21
X=-1/21

Answer: -1/21
7 0
3 years ago
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