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malfutka [58]
3 years ago
10

Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishaan as old a

s Christopher. How old is Christopher?

Mathematics
2 answers:
OverLord2011 [107]3 years ago
6 0

Answer:

24 years

Step-by-step explanation:

Go through the image attached to understand it properly

kvasek [131]3 years ago
5 0

Answer:

24 years

Step-by-step explanation:

Let Christopher's age=c

Since Christopher is 20 years younger than Ishaan.

Ishaan's age=c+20

Fourteen years ago, Ishaan was three times as old as Christopher.

Their ages 14 years ago are:

For Christopher: c-14

For Ishaan: (c+20)-14

Therefore:

3(c-14)=c+6

3c-42=c+6

3c-c=6+42

2c=48

Divide both sides by 2

c=24

Christopher is 24 years old.

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-8a/8 = 22

8 divided by 22 is 2.75

a = -2.75
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Kenya Kon sells dishwashers. He earns an 8% commission on sales. How much must be sell in order to earn $3000?
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Use a variable to solve for this.

x * .08 = 3000

Divide by .08 on both sides.
x = 37500

We can check this by inputting 37500 for x.

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If p is the incenter of triangle jkl, find each measure
Hunter-Best [27]

Answer:

PO = 7

PM = 7

MJ = 11

∠PJO = 32°

∠KJL = 64°

PL ≈ 18.385

OL = 17

∠PLO = 22°

∠NLO = 44°

∠JKL = 72°

∠MKP = 36°

∠NKP = 36°

∠PKN = 36°

KN = 10

PL ≈ 13.04

PK ≈ 12.21

JL = 28

JK = 21

LK = 27

Step-by-step explanation:

The given parameters are;

The point representing the incenter of the triangle = P

Therefore PO = PM = PN = 7

tan(32°) = PM/JM = 7/JM

∴JM = 7/(tan(32°)) ≈ 11.2

∠PJO = tan⁻¹(7/11)≈ 32.47°

∠PJO = ∠PJM = 32° similar triangles

∠KJL = ∠KJP + ∠PJO = 32 + 32 = 64°

∠KJL ≈ 64°

PL = √(7² + 17²) ≈ 18.385

OL = NL = 17 similar triangles

∠PLO = sin⁻¹(7/18.385) ≈ 22.380°

∠PLO = ∠PLN = 22°

∠NLO = ∠PNL + ∠OLP ≈ 22° + 22° ≈ 44°

∠NLO ≈ 44.380°

∠JKL = 180 - (∠KJL + ∠NLO)

∠JKL = 180° - (64° + 44°) ≈ 72°

∠JKL  ≈ 72°

∠MKP = ∠NKP = 72°/2 = 36°

∠MKP = 36°

∠NKP = 36°

∠PKN = ∠JKL - ∠MKP = 72° - 36° ≈ 36°

∠PKN  ≈ 36°

KN = KM = 10

MJ = OJ = 11

PL = √(7² + 11²) ≈ 13.04

PK = √(7² + 10²) ≈ 12.21

JL = JO + OL = 11 + 17 = 28

JK = JM + MK = 11 + 10 = 21

LK = LN + NK = 17 + 10 = 27

6 0
3 years ago
The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?
Andrews [41]

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

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The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

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Now, perimeter is given as:

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Now, plug in 72 for 'P' and solve for 'w'. This gives,

w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4

So, the table is 4 units wide.

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