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Akimi4 [234]
3 years ago
12

In the diagram below, A C ≅ C E , and D is the midpoint of CE. If CE = 10x+18, DE = 7x-1, and BC = 9x+2, find AB.

Mathematics
2 answers:
mezya [45]3 years ago
6 0

Answer:

5x+10

Step-by-step explanation:

Elodia [21]3 years ago
4 0
5x+10 hope this helps you good luck
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The PTO is hosting a donut and coffee day at the shcool. Each box of donuts and costs $9.00 and each cup of
vodka [1.7K]

Answer:

The school where the donut and coffee day will take place.

The number of boxes of donuts the PTO bought.

The number of cups of coffee the PTO bought.

3 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a
yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

                            =  (27-2x)(19-2x)

                            =  513-54x-38x+4x^2

                            =   513-92x+4x^2

According to the question,

513-92x+4x^2=153

513-92x+4x^2-153=0        ( subtract 153 both sides)

4x^2-92x+360=0

4(x^2-23x+90)=0

x^2-23x+90=0

x^2-(18+5)x+90=0            ( Middle term splitting)

x^2-18x-5x+90=0

x(x-18)-5(x-18)=0

(x-5)(x-18)=0

x-5=0 or x-18=0             ( zero product property)

x=5 or x=18

if x=18, dimension would be negative  ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

8 0
4 years ago
The main show tank has a radius of 60 feet and forms a quarter-sphere. what is the volume of the quarter-sphere shaped tank? rou
schepotkina [342]
By definition, the volume of a quarter of a sphere is given by:
 V = (1/4) * (4/3) * (\pi) * (r ^ 3)

 Where,
 r: sphere radius
 Substituting values we have:
 V = (1/4) * (4/3) * (3.14) * (60 ^ 3)

 Making the corresponding calculation we have:
 V = 226080 feet ^ 3
 Answer:
 
The volume of the quarter-sphere shaped tank is:
 
V = 226080 feet ^ 3
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