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Thepotemich [5.8K]
2 years ago
11

An item that is 20% off is sold for 48$ what was the original price

Mathematics
1 answer:
solniwko [45]2 years ago
7 0

Answer:

9.6

trust me I double checked and everything

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In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.
frutty [35]

The perimeter of triangle ABC is 24 units

Step-by-step explanation:

There is a fact in any triangle, the segment joining the mid points of

two sides of the triangle is:

  • Parallel to the third side
  • Its length is half the length of the third side

In Δ XYZ

∵ A is the mid point of XY

∵ B is the mid point of YZ

∴ AB = \frac{1}{2} XZ

∵ XZ = 18 units

∴ AB = \frac{1}{2} × 18 = 9 units

∵ C is the mid point of XZ

∵ B is the mid point of YZ

∴ BC = \frac{1}{2} XY

∵ AY = 7 units

∵ AY = \frac{1}{2} XY

∴ 7 = \frac{1}{2} XY

- Multiply both sides by 2

∴ 14 = XY

∴ BC = \frac{1}{2} × 14 = 7 units

∵ A is the mid point of XY

∵ C is the mid point of XZ

∴ AC = \frac{1}{2} YZ

∵ BZ = 8 units

∵ BZ = \frac{1}{2} YZ

∴ 8 = \frac{1}{2} YZ

- Multiply both sides by 2

∴ 16 = YZ

∴ AC = \frac{1}{2} × 16 = 8 units

∵ The perimeter of any triangle is the sum of the lengths of its sides

∴ Perimeter Δ ABC = AB + BC + AC

∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units

The perimeter of triangle ABC is 24 units

Learn more:

You can learn more about triangles in brainly.com/question/10677255

#LearnwithBrainly

3 0
3 years ago
A sphere has a volume of V=900 in cubed. What is the surface area?
ycow [4]
First, we must solve for the radius of the sphere:
V=\frac{4}{3}\pir^{3}
r=(3\frac{V}{4 \pi })^{ \frac{1}{3} }
r=(3*\frac{900}{4 \pi })^{ \frac{1}{3} }
r≈5.99

Second, we must solve for surface area:
A=4\pir^{2}
A=4*\pi*5.99^{2}
A≈450.88 in^{2}
4 0
3 years ago
Population density is the number of people per unit of area. What is the population density of a state that has 1,627,260 people
Tresset [83]

Answer:

             = 1092 people/ sq mile  

Step-by-step explanation:

Population density is the number of people per unit of area.


We know the population is 1627260

The are is 1490 mi ^2

Population density = 1627260/1490

                                 =1092.120805  people / sq mile

Round to the nearest whole number

                                  = 1092 people/ sq mile  

6 0
3 years ago
Can someone explain this to me please step by step
avanturin [10]

Answer:

10 + 10 = 21

dont ask how

4 0
3 years ago
Please help me with this question
lys-0071 [83]

Answer:

C

180(.6) because 40% off is 0.4 and what is left over is 60% or 0.6. When you multiply this you get 108. 5% sales tax is a 5% increase, so multiple 108(1.05) and you get $113.40.

7 0
2 years ago
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