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nata0808 [166]
3 years ago
14

Angles T and U are a linear pair. Angle U measure (9x+6) and Angle T measures(6x+9). What is the value of x, in degrees?

Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

11 degrees.

Step-by-step explanation:

<em>"Angles T and U are a linear pair. Angle U measure (9x+6) and Angle T measures(6x+9). What is the value of x, in degrees?"</em>

We know that a linear pair MUST add up to 180 degrees, therefore (9x+6)+(6x+9)= 180

Now for some algebra-

(9x+6)+(6x+9)= 180

6 and nine can both be divided by 3, so we will do that for simplicity:

((9x+6)+(6x+9)= 180)/3=

(3x+2)+(2x+3)=60

We will now separate the parenthesis, as they serve no purpose anymore.

(3x+2)+(2x+3)=60

3x+2+2x+3=60

Combine terms

5x+5=60

Take away the 5 to isolate the variables

5x+5=60

-5

5x=55

Divide by 5

5x=55

/5

x=11

The value of x is 11 degrees.

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2p^2+10=0 <br><br> Please help!
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What is the closest perfect square greater than 54
Anna35 [415]

Answer:

64

Step-by-step explanation:

Perfect squares are integers multiplied by themselves.

  • 2 times 2  = 4
  • 3 times 3  = 9
  • 4 times 4  = 15

The closest perfect squares to 54 are 49 (7^2) and 64 (8^2).

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Therefore, the closest perfect square to 54 that is greater than it is 64.

6 0
3 years ago
A right Circular cylinder has a height of 19 3/4 ft and a diameter 1 2/5 times its height . What is the volume of the cylinder?
Elanso [62]
Height = 19.75
diam = 19.75*1.4 = <span> <span> <span> 27.65
radius = </span></span></span> <span> <span> <span> 13.825 </span> </span> </span>

Volume = PI*19.75 * (13.825*13.825)
<span><span><span>Volume = PI*3,774.83 </span> </span> </span>
<span><span><span><span>Volume = </span>11,858.98 </span>

</span> </span>




7 0
4 years ago
Read 2 more answers
How long does it take to double a $1,000 investment that pays 6.5% annual interest, compounded monthly?
ahrayia [7]
2p=p(1+0.065/12)^12t
2=(1+0.065/12)^12t
Solve for t
T= [log(2)/ log(1+0.065/12)] /12
T= 10.7 years or if you want to round it would be 11

Answer: 10.7 years or 11 years

Answer: You can use the compound interest formula: A=P(1+interest)^n

A=the new capital
P=the capital invested
n= the #of monthly


Hope this helps (:
3 0
3 years ago
Read 2 more answers
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