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VARVARA [1.3K]
1 year ago
7

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

Mathematics
1 answer:
Andru [333]1 year ago
5 0

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

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A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all arou
Arisa [49]

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

5 0
2 years ago
Two types of shipping boxes are shown below.
devlian [24]

Answer:

B. 3 square feet

Step-by-step explanation:

The formula for surface area is:

2lw+2lh+2wh

Box F's surface area is just plugging in those variables

2(3)(3)+2(3)(3)+2(3)(3)=54

Box J's surface area is the same way

2(2)(4.5)+2(2)(3)+2(4.5)(3)=57

The difference is 57-54=3

The answer is B. 3 square ft

7 0
3 years ago
James bought a cake that weighs 3 and 1 over 4 pounds. How many ounces does the cake weigh? Show your work. (5 points)
kolezko [41]

The weight of James cake in ounces is 52 ounces and the Pint of water dispensed in 20 seconds is 24 pints

<h3>Weight</h3>

  • Weight of cake = 3 1/4 pounds

1 pound = 16 ounces

Number of ounces the cake weigh = 3 1/4 pounds × 16 ounces

= 13/4 × 16

= (208) / 4

= 52 ounces

  • Water dispensed per second = 0.15 gallons
  • Number of seconds = 20 seconds

1 gallon = 4 quarts

0.15 gallon = 0.6 quarts

1 quart = 2 pints

0.6 quart = 1.2 pints

Pint of water dispensed in 20 seconds = 1.2 × 20

= 24 pints of water

Learn more about weight:

brainly.com/question/229459

#SPJ1

8 0
2 years ago
What was your speed if you drove 325 miles in 5 1/4 hours?
liraira [26]

Answer:

61.9047619048

Step-by-step explanation:

325/5.25= 61.9047619048

4 0
3 years ago
Read 2 more answers
A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function
stiv31 [10]
The answer to this, your question is                                                                               h = -16t • 2 + 48t + 6
h = -32t + 48t + 6
h = 16t + 6     HOPE I HELPED IN A WAY!                                                                                                                                             ~Marcey<3
7 0
3 years ago
Read 2 more answers
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