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Orlov [11]
2 years ago
5

What is the value of x?

Mathematics
2 answers:
Mama L [17]2 years ago
5 0

Answer:

  • x = 9

Step-by-step explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

  • 72/9 = 56/(3x - 20)
  • 8 = 56/(3x - 20)
  • 3x - 20 = 56/8
  • 3x - 20 = 7
  • 3x = 27
  • x = 9
AlekseyPX2 years ago
4 0

Answer:

x = 9 cm

create proportional equation:

\sf \dfrac{9}{3x-20}  = \dfrac{72+9}{3x-20+56}

\sf \dfrac{9}{3x-20}  = \dfrac{81}{3x+36}

\sf 9(3x+36) = 81(3x-20)

\sf 27x+324 = 243x-1620

\sf 27x-243x=-1620-324

\sf  -216x=-1944

\sf x = 9

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Hellen is using 3.508 grams of copper for her science experiment. How many kilograms of copper did Hellen use for her science ex
mash [69]

Answer:

.003508 kg of copper

Step-by-step explanation:

1000 grams = 1 kg

3.508 g/1000 g = .003508 kg

7 0
2 years ago
Solve for x. 3x+1=7 What is the root? If there is no root, choose none.
nikdorinn [45]

I think the root of "3x + 1 = 7" is 2...

6 0
3 years ago
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5 0
2 years ago
A and b are positive integers and a–b = 3. Evaluate the following:
yulyashka [42]

1/27

1/27

125

Step-by-step explanation:

Given that,

a - b = 3

9^(1/2b) /3^a = 3^(2/2b) /3^a

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a)

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b)

= 5^a/5^b

= 5^(a- b)

= 5^3

= 125

6 0
3 years ago
The length of a rectangle is 4 more than 3 times the width if the perimeter of the rectangle is 18.4 cm what is the area of the
garik1379 [7]
Let's call the width: w

the lenght is then 3w+4 ("4 more than 3 times the width")

and the parameter would be 2(w+3w+4), that is 2*(4w+4), that is 8w+8.

this is also equal to 18.4:

8w+8=18.4
8w=10.4
w=1.3

this is the width, and the lenght is:
4+3*1,3=4+3.9=7.9

and the area is their product:
1.3*7.9=10.27
6 0
3 years ago
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