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umka21 [38]
3 years ago
12

Find the m Answer is in degrees

Mathematics
1 answer:
Sonja [21]3 years ago
3 0

These angles are known as corresponding angles and when added up, they must be equal. So, let's set them equal to that, so we can solve for x, and then angle ABC:

2x+46=3x-2

46=x-2

x=48

Find ABC:

2(48)+46 = 142

As per to my calculations, ∠ABC = 142°.

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Please help me!!!<br>What is the value of n?<br>2n = 8 + 4n<br>A)-4<br>B) 4<br>C)-4/3<br>D)4/3
erica [24]
To get the value of n u have to set n by itself, first we have to set teh smallest n to teh other side this will give you 0=8+2n now subtract the 8 from both sides because it is positive and the only way to get rid of a positive is with a negative this will give you -8=2n, now to set n by itself divide by 2 in both sides because in order to get rid of a multiplication you have to divide, this will give you n=-4, so your answer will be letter A

Hope this helps

6 0
3 years ago
Find the 91st term of the arithmetic sequence 4, 6, 8,
olga_2 [115]

Answer:

  • 91st term of the arithmetic sequence 4, 6, 8... is 184.

Step-by-step explanation:

  • Comman difference = 8 - 6 = 2
  • a = 4
  • n = 91

\longrightarrow \: \: a _{n } =a (n - 1)d

\longrightarrow \: \: a_{91} = 4(91 - 1) \times 2

\longrightarrow \: \: a _{91}= 4 +(90) \times 2

\longrightarrow \: \: a _{60}= 4 + 180

\longrightarrow \: \: a_{60}= 184

\therefore 91st term of the arithmetic sequence 4, 6, 8.. is 184

8 0
2 years ago
Read 2 more answers
HELP
ELEN [110]

Answer:

i think 3+10=13 is the open statement

4 0
3 years ago
The equation used to predict college gpa​ (range 0-4.0) is modifyingabove y with caret equals 0.18 plus 0.54 x 1 plus 0.002 x 2​
zhuklara [117]

The college GPA for a high school GPA of 3.5 and a college board score of 600 will be 3.27

The equation to predict college GPA is:

y=  0.18 +0.54x1 +0.002x2

where x1 is high school GPA and x2 is the college board score

According to the question, here x1 = 3.5 and x2 = 600

So, we will just plug the values of x1 and x2 into the equation.

y = 0.18 + (0.54*3.5)+(0.002*600)\\ \\ y= 0.18 +1.89 +1.2\\ \\ y= 3.27

So, the college GPA for a high school GPA of 3.5 and a college board score of 600 is 3.27

4 0
4 years ago
A two-state system is in an environment at temperature 500 K. The energy of state 1 is 4.1e-20 J, and the energy of state 2 is 5
katovenus [111]

Complete Question

A two-state system is in an environment at temperature 500 K. The energy of state 1 isE_1=4.1e-20 J, and the energy of state 2 is E_2= 5.7e-20 J. Let P(1) be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio P(2)/P(1)

Answer:

 X=0.0984

Step-by-step explanation:

From the question we are told that:

Temperature T=500 K

Energy of state 1 E_1=4.1e-20 J,

Energy of state 2 is E_2= 5.7e-20 J

Generally the equation for Probability of finding the system in state is mathematically given by

 P(1)=e ^{\frac{-E_1}{KT}}

Therefore

For Probability of finding the system in state 1 P(1)

 P(1)=e ^{\frac{-E_1}{KT}}

Where

   K is Boltzmann constant

   K=1.38*10^{-23}

 P(1)=e ^{\frac{-(4.1e-20 J)}{1.38*10^{-23}*500}}

For Probability of finding the system in state 1 P(2)

 P(2)=e ^{\frac{-(5.7e-20 J)}{1.38*10^{-23}*500}}

Generally the equation for The Ratio of P(2) and P(2) is mathematically given by

 X=\frac{P(2)}{p(1)}

 X=e ^{\frac{E_1-E_2}{KT}}

 X=e ^{\frac{-(4.1-5.7)e-20 J)}{1.38*10^{-23}*500}}

 X=0.0984

3 0
3 years ago
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