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icang [17]
3 years ago
11

Help with 14# plz!!!

Mathematics
2 answers:
Serjik [45]3 years ago
8 0
15x - 6 = 9(x + 2)
15x - 6 = 9x + 18
15x - 9x = 18 + 6
6x = 24
x = 4
never [62]3 years ago
7 0
15x - 6 = -9
9(x+2) = 9x+2=11x
9+11x=19x 
Right???

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What is the value of x when Rq=3x+2 ,QN =2x and SM=3x?
Andru [333]

The value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

RQ = 3x+2 ,QN = 2x and SM=3x

In the figure, the TM, Rn, and SL are medians of the triangle SRT and Q is the centroid.

The centroid of the triangle divides each median in the ratio 2:1

RQ/QN = 2/1

(3x+2)/2x = 2/1

After solving:

3x + 2 = 4x

x = 2

Thus, the value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

5 0
2 years ago
Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t
MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.\overline 6

Given that 6.\overline 6 > 0, we have;

At the maximum volume, the width of the block, w = 6.\overline 6 cm ≈ 6.7 cm

The maximum volume, V_{max}, is therefore given when w = 6.\overline 6 cm = 20/3 cm  as follows;

V = 10·w² - w³

V_{max} = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\overline {148}

The maximum volume, V_{max} = 148.\overline {148} cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0
3 years ago
Frank reverses The older pairs show the height and ages of the same six tenants is age of function or high explain
oksian1 [2.3K]
Did it come with a pic
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2 years ago
Find the distance between Brisbane and
Lady bird [3.3K]

Answer:

30 miles

Step-by-step explanation:

So since we know the scale of the map (3 in : 15 mi) we will just have to find out how much 3 inches fits into 6 inches and then multiply the result by 15 miles. So we do the following steps.......

(\frac{6}{3} )15 = (2)(15) = 30

5 0
2 years ago
During his visit to London, George Orwell decided to ask everyone he talked to whether or not the cameras made them feel more se
bogdanovich [222]

Answer:

84

Step-by-step explanation:

<em>i dont know if this is right or not but basscially you do 60 divided by 5/7 and yea....</em>

6 0
3 years ago
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