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3 years ago

In the figure shown, GD = 3x + 5, GF = 6x-4, and G is the incenter of AABC. Find GE

Mathematics

1 answer:

DerKrebs [107]3 years ago

5 0

Answer:

GE = 14

Step-by-step explanation:

The incenter is equidistant from the sides, so GD = GE = GF.

Set the expressions for GD and GF equal to each other and solve for x.

3x + 5 = 6x - 4

5 = 3x - 4

9 = 3x

3 = x

Now plug this value into either expression, say for GD. GD = 3(3) + 5 = 14.

GE must be the same, GE = 14

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Please help with all of these 5 points per question

liberstina [14]

Answer:

1. C = $100 = .25(m)

2. C = $150

3. 800 = m

Step-by-step explanation:

1. C = $100 (flat fee rate) + .25m

2. c = $100 + .25(200 miles)

↓

c = $100 + 50

↓

c = 150

3. 300 = 100 + .25(m)

-100 -100 (subtract on both sides)

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200 = .25(m)

------------------- (divide by .25 to get m by itself)

.25

Therefore being 800 = m

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4 years ago

Shelly can cut a lawn with a riding mower in 22 hours less time than it takes william to cut the lawn with a push mower. if they

umka2103 [35]

Let n be the amount of time it takes william to cut the lawn. Then Shelly takes
n-2 hours. So:
1/n+1/n-2=1/3
3(n-2)+3n=n²-2n
6n-6=n²-2n
n²-8n+6=0
Using the quadratic formula, we get a positive value of 7.1623 hrs as the amount of time william takes working alone, and 5.1623 as the amount of time Shelly takes working alone
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7 0

3 years ago

Points C, D, and G lie on plane X. Points E and F lie on plane Y.Which statements are true? Select three options.

Slav-nsk [51]

Answer:

2nd , 3rd, & 4th

Step-by-step explanation:

4 0

3 years ago

A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dime

sammy [17]

Answer:

The dimensions of the carpet are 15 inches and 82 inches

Step-by-step explanation:

Assume that the width of the carpet is x inches

∵ The width of the carpet is x inches

∵ The length of the carpet is 67 inches more than the width

∴ The length of the carpet is (x + 67) inches

∵ The perimeter of the rectangle = 2(length + width)

∵ The perimeter of the carpet = 194 inches

→ Equate the two right sides of the perimeter

∴ 2(length + width) = 194

→ Divide both sides by 2

∴ length + width = 97

→ Substitute the value of the length and width in the equation above

∵ x + 67 + x = 97

→ Add the like terms in the left side

∴ (x + x) + 67 = 97

∴ 2x + 67 = 97

→ Subtract 67 from both sides

∵ 2x + 67 - 67 = 97 - 67

∴ 2x = 30

→ Divide both sides by 2

∴ x = 15

∵ x represents the width of the carpet

∴ The width of the carpet is 15 inches

∵ The length of the carpet = 15 + 67

∴ The length of the carpet is 82 inches

∴ The dimensions of the carpet are 15 inches and 82 inches

3 0

3 years ago

Four less than twice a number

kondor19780726 [428]

Answer:

as per ur ques if we take x as number then we get algebraic expression as

2x - 4

brainliest?

8 0

3 years ago

Read 2 more answers