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kolbaska11 [484]
2 years ago
15

Find the distance between points K and H.

Mathematics
1 answer:
Usimov [2.4K]2 years ago
6 0

Answer:

10

Step-by-step explanation:

K is the midpoint between 60 and 80.

Distance between 60 and 80 is,

80 - 60 = 20

Distance between K and H is,

20 / 2 = 10

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What facts are required in order to conclude that m∠ADE = m∠ABC?
mariarad [96]

Answer:

The correct option is;

DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)

Step-by-step explanation:

Given that we have;

1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC

2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC

3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC

Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;

AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))

∴ (sin(m∠ADE)) = (sin(m∠ABC))

m∠ADE) = m∠ABC).

3 0
3 years ago
Find the surface area of a cylinder with a height of 8 yd and a base radius of 3 yd. Use 3.14 for π and dont do any rounding.
gulaghasi [49]
<span>Surface area</span> = 2πr(h+r) =  2 * 3.14 * 3(8+3) = 207.24 yd²
3 0
3 years ago
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Carrie spent 1/4 of her allowance on a shirt, 1/3 of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how mu
vlada-n [284]

Answer:

$24

Step-by-step explanation:

1/4x + 1/3x + 8 = 22

1/4x + 1/3x = 7/12x

7/12x + 8 = 22

22 - 8 = 14

7/12x = 14

14/ 7/12

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The 4 - pack is priced at £2.04
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The 4 Pack is the better value ;)
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27

Step-by-step explanation:

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