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miskamm [114]
3 years ago
12

What is value of x? Enter your answer in the box. x =

Mathematics
1 answer:
JulijaS [17]3 years ago
7 0

Answer:

x = 27

Step-by-step explanation:

There is a point in the figure that has no name. It is the point on segment BC,  between B and C. Call that point D.

Angles BAD and CAD are shown to be congruent. That makes AD the bisector of angle ABC. Now you can use the Triangle Angle Bisector Theorem. This theorem gives you a proportion of side lengths.

AB/BD = AC/CD

Substitute the side lengths and solve for x.

(x + 8)/10 = (2x - 5)/14

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

-6x = -162

x = 27


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3 years ago
Read 2 more answers
Terrence and Lee were selling magazines for a charity. In the first week, Terrance sold 30% more than Lee. In the second week, T
timurjin [86]

Lee sold 60 magazine

Step-by-step explanation:

Terrence and Lee were selling magazines for a charity

  • In the first week, Terrance sold 30% more than Lee
  • In the second week, Terrance sold 12 magazines, but Lee did not sell any
  • Terrance sold 50% more than Lee by the end of the second week

We need to find how many magazines Lee sold

Assume that Lee sold x magazines

∵ Terrance sold 30% more than Lee in the first week

∵ Lee sold x magazines in the first week

- Find 30% of x and add it to x to find how many magazines

  Terrance sold

∵ Terrance sold = 30% × x + x

∴ Terrance sold = \frac{30}{100} × x + x = 0.3 x + x

∴ Terrance sold = 1.3 x magazines in the first week

∵ Terrance sold 12 magazines in the second week

- Add 1.3 x to 12 to find the number of magazines that Terrence

  sold in the two weeks

∴ Terrence sold 1.3 x + 12 magazines in the two weeks

∵ Lee did not sell any in the next week

∴ Lee sold x magazines in the two weeks

∵ Terrance sold 50% more than Lee by the end of the 2nd week

- Equate 1.3 x + 12 by the sum of x and 50% of x

∴ 1.3 x + 12 = 50% × x + x

∵ 50% × x = \frac{50}{100} × x = 0.5 x

∴ 1.3 x + 12 = 0.5 x + x

- Add the like terms in the right hand side

∴ 1.3 x + 12 = 1.5 x

- Subtract 1.3 x from both sides

∴ 12 = 0.2 x

- Divide both sides by 0.2

∴ 60 = x

Lee sold 60 magazine

Learn more:

You can learn more about the percentage in brainly.com/question/12284722

#LearnwithBrainly

5 0
3 years ago
A geodesic dome has a radius of 54 feet. What is the volume of the dome? Use 3.14 for pi.
dimulka [17.4K]

Answer:

Modeling the dome as a hemisphere, V = 2/3 πr³ =  

(2/3)(3.14)(54 ft)³ = 629,624.64 ft³

Step-by-step explanation:

5 0
3 years ago
Me pueden ayudar en esto por favor​
Whitepunk [10]

Answer:

2cm: 6.28

4cm: 12.56

6cm: 18.84

8cm: 25.12

10cm: 31.4

12cm: 37.68

Step-by-step explanation:

3 0
3 years ago
Krystal left the hardware store and traveled toward the recycling plant at an average speed of 61 mph. Scott left at the same ti
tiny-mole [99]

Since Krystal and Scott is heading on opposite directions, therefore the distance between the two would be the sum of their distances from where they left, so:

total distance (d) = distance covered by Krystal (dK) + distance covered by Scott (dS)

d = dK + dS

 

We know that the formula for distance is:

distance = velocity * time

 

So,

d = vK * t + vS * t

where

vK = velocity of Krystal = 61 mph

vS = velocity of Scott = 65 mph

d = 252 miles

 

Therefore:

252 = 61 t + 65 t

126 t = 252

t = 2 hours

 

Therefore Scott needs to travel for 2 hours.

4 0
3 years ago
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