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Georgia [21]
3 years ago
11

The area of the living room is 29 square feet greater than twice the area of the office. State what quantity the variable x repr

esents and express the second quantity in terms of x.
State what quantity the variable x represents.

A. area of the living room
B. area of the office
C. 29 square feet
D. area of the office or the area of the living room

Express the second quantity in terms of x.
A. 2x-29
B. 2(x+29​)
C. 2x+29
D. 2(x-29​)
Mathematics
1 answer:
Naily [24]3 years ago
7 0

Answer:

B, area of the office; C, 2x+29

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Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude
nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

  • a < b+c

2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

  • b < a+c

2A/14 < 2A/12 + 2A/h

Solve it and get

h > -84

  • c < a+b

2A/h < 2A/12 + 2A/14

Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

Learn more about TRIANGLE here brainly.com/question/2217700

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2 years ago
Please help its from the lines and angles chapter
Murrr4er [49]

This is the answer of this question

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3 years ago
mario went on a hike with his friends. they hiked 2,24 miles an hour for 8 hour. how many miles did they hike in all
lina2011 [118]
Do 224x8
This would equal 1792.
He traveled 1792 miles.
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3 years ago
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Ima need sum more help
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Answer:

B

Step-by-step explanation:

Because yes

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3 years ago
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A⋅a⋅c⋅c =
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6+3 =9

The answer is 9
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