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Crazy boy [7]
3 years ago
6

Use the triangle-sum Thorem to find x. then find each angle measure. 7x+4+5x+3+2x+5=180

Mathematics
1 answer:
Tresset [83]3 years ago
8 0

Answer:

2x

Step-by-step explanation:

1.Put all of your variables together like (7x+5x+2x) and the other like numbers

2. you add up everything okay

3.when are solving dont put the ones that arent the same in the correct category

4.put both answers together and then subtract from the last number to both numbers

5.Lastly you have received your answer

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How to have a different rectangle with the same perimeter
Nuetrik [128]
To have a different rectangle with the same perimeter you just have different measurements. If you need an example let me know!
7 0
3 years ago
The length of the house is 1,200 feet and 1,100 feet wide. what is the perimiter
Tatiana [17]

Answer:

4,600

Step-by-step explanation:

1,200+1,200+1,100+1,100

8 0
3 years ago
Read 2 more answers
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
Nu is designing a rectangular sandbox.The bottomm is 16 square feet.Which dimensions require the least amount of materail for th
zzz [600]

Given Information:  

Area of rectangle = 16 square feet

Required Information:  

Least amount of material = ?

Answer:

x = 4 ft and y = 4 ft

Step-by-step explanation:

We know that a rectangle has area = xy and perimeter = 2x + 2y

We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.

So we have

xy = 16  

y = 16/x

p = 2x + 2y

put the value of y into the equation of perimeter

p = 2x + 2(16/x)

p = 2x + 32/x

Take derivative with respect to x

d/dt (2x + 32/x)

2 - 32/x²

set the derivative equal to zero to minimize the perimeter

2 - 32/x² = 0

32/x² = 2

x² = 32/2

x² = 16

x = \sqrt{16} = 4 ft

put the value of x into equation xy = 16

(4)y = 16

y = 16/4

y = 4 ft

So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.

Verification:

xy = 16

4*4 = 16

16 = 16 (satisfied)

7 0
3 years ago
Jeanette is painting a rectangular wall that is 10 feet long 8 feet tall. There is a window that is 5 feet wide and 3 feet tall
Mnenie [13.5K]
65 feet squared.

8 times 10 is eighty, then you need to subtract 3 time 5 (which is 15), and that makes it 65 feet squared.
3 0
3 years ago
Read 2 more answers
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