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weeeeeb [17]
2 years ago
5

The triangle is not necessarily drawn to scale, and the angles can vary. Create a compound inequality for the side length x usin

g the Triangle Inequality.
A. 2 < x < 12
B. 5 < x < 7
C. 5 < x < 12
D. 2 < x < 7

Mathematics
1 answer:
Artist 52 [7]2 years ago
5 0

Answer:

A

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

7 - 5 < x < 7 + 5

2 < x < 12

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Dana is planning to drive 400 miles from
GaryK [48]

Answer:

A. 8 gallons

B. Drive by car is $59.4 cheaper than travel by train

Step-by-step explanation:

According to the scenario, given data are as follows,

Total drive = 400 miles

Total drive per gallon = 50 miles

Fuel cost per gallon = $4.45

A. So, Total fuel required to drive 400 miles can be calculated as follows,

Total fuel required =  Total drive ÷ Total drive per gallon

By putting value, we get,

Total fuel required = 400 ÷ 50

= 8 gallons

B. Total cost if drive by car = 8 gallons × $4.45 = $35.6

Cost if travel by train = $95

Hence it is clearly shows that drive by car is much cheaper than travel by train.

Cost saved by travel by car = $95 - $35.6 = $59.4

So, drive by car is $59.4 cheaper than travel by train.

5 0
3 years ago
What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.
olga55 [171]

Answer:

The slop is undefined

i.e. m=\infty

Step-by-step explanation:

Considering the slope formula

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

As the points are (7, -4) and (7, 0)

Here:

  • (x₁, y₁) = (7, -4)
  • (x₂, y₂) = (7, 0)

\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty

so

  \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

            =\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}

             =\frac{0-\left(-4\right)}{0}

             =\infty    

Therefore, the slop is undefined i.e. m=\infty

5 0
3 years ago
HELPPPPP !!!
kifflom [539]

Answer:

(A) the subtraction property of equality

Step-by-step explanation:

Given

The steps in the question

Require

Justify step 2 to 3

Write out step 2:

-4x+9 = 2x+10

Apply subtraction property by subtracting 2x from both sides

-4x-2x+9 = 2x-2x+10

-6x+9 = 10

Notice that the above equation is represented in step 3.

<em>Hence, option A answers the question.</em>

7 0
3 years ago
Read 2 more answers
When i post this question i will have 690 points lol
Liula [17]

Answer:

y have 3K

xD

Step-by-step explanation:

4 0
2 years ago
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Margaret is planning a wedding reception. She wants to spend less than her budget of 5,676, and margaret has already spent 2,652
Butoxors [25]

Answer:

The answer to your question is 108 guests.

Step-by-step explanation:

Data

Budget = $5676

She has spent = $2652

price per guest = $28

number of guests = x

Process

1.- Determine the quantity of money available.

   Money available = 5676 - 2652

                               = $3024

2.- Divide the money available by the price per guest

  Number of guests = $3024/$28

  Number of guests = 108

3.- Conclusion

She can invite at most 108 guests

8 0
3 years ago
Read 2 more answers
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