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-BARSIC- [3]
3 years ago
14

Set up and solve a proportion 6/100=s/12

Mathematics
1 answer:
rusak2 [61]3 years ago
7 0

Amount of tax on the book (s) is $0.72

Step-by-step explanation:

  • Step 1: Given 6/100 = s/12
  • Step 2: Cross multiply to solve for s

⇒ 6 × 12 = 100 × s

⇒ 72 = 100s

⇒ s = 72/100 = 0.72

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To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
miskamm [114]

The statement which the diagram shows is that the length of GH is half of the length of KL . Option B

<h3>What is the midsegment theorem?</h3>

The midsegment theorem holds that any segment that forms the joining midpoints of two sides of a triangle is parallel to half the length of the third side.

It can be seen that the length of GH is half of the length of KL as deduced from the diagram

Therefore, the statement which the diagram shows is that the length of GH is half of the length of KL . Option B

Learn more about the midsegment theorem here:

brainly.com/question/7423948

#SPJ1

5 0
1 year ago
Given 4x²=(3y-5z÷4)² ,find<br>x if y=x-2 and z=2y<br><br>​
rjkz [21]

Answer:

x = 2/5 or x = -2/3

Step-by-step explanation:

y = x - 2

z = 2y = 2(x - 2) = 2x - 4

4x² = (3y - 5z ÷ 4)²

Substitute y with x - 2. Substitute z with 2x - 4.

4x² = [3(x - 2) - 5(2x - 4) ÷ 4]²

16 * 4x² = [3(x - 2) * 4 - 5(2x - 4) ÷ 4 * 4]²

64x² = [12(x - 2) - 5(2x - 4)]²

64x² = (12x - 24 - 10x + 20)²

64x² = (2x - 4)²

64x² = 4x² - 16x + 16

60x² + 16x - 16 = 0

15x² + 4x - 4 = 0

ac = 15 * (-4) = -60

-6 * 10 = -60

-6 + 10 = 4

15x² - 6x + 10x - 4 = 0

(15x² - 6x) + (10x - 4) = 0

3x(5x - 2) + 2(5x - 2) = 0

(5x - 2)(3x + 2) = 0

5x - 2 = 0 or 3x + 2 = 0

5x = 2 or 3x = -2

x = 2/5 or x = -2/3

3 0
3 years ago
Can someone help me on part B please? I've done the answer to the rest please thanks!​
Maurinko [17]

Answer:

84 circular tiles are needed to make pattern number 20

4(20+1)

Step-by-step explanation:The number of circular tiles is 1 more than the pattern number on each side of the square.

circular tiles = 4(n +1)

7 0
2 years ago
Quadrilateral ACEG≅Quadrilateral NMRP
Inga [223]
Answer is 

<span>AG¯¯¯¯¯≅NP¯¯¯¯¯¯

hope that helps</span>
5 0
3 years ago
Read 2 more answers
I need help with subtracting whole number fractions:'(
igomit [66]
I think you mean mixed number fractions. So what you do is just subtract, both the fraction and also the number. So for example 1 2/3 - 1 1/3 is just 1/3 because you subtracted both of them
5 0
3 years ago
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