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Serjik [45]
2 years ago
9

Find the value of x and each arc measure

Mathematics
1 answer:
Jlenok [28]2 years ago
5 0

Answer:

x = 11

m(arc)MN = 65

m(arc)NP = 115

m(arc)NQP = 245

Step-by-step explanation:

10x - 45 = 6x - 1

4x = 44

x = 11

m(arc)MN = 10x - 45 = 10(11) - 45 = 110 - 45 = 65

m(arc)NP = 180 - 65 = 115

m(arc)NQP = 360 - 115 = 245

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9. Determine whether or not the number 257 is prime.
Sladkaya [172]

Answer:

257 is prime.

Step-by-step explanation:

To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.

In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)

  • 257 is odd, so it is not divisible by 2.
  • The sum of its digits is 14, therefore, it is not divisible by 3.
  • 257 ends in 7, therefore it's not divisible by 5.
  • 257/ 7 = 36.71 so it's not divisible by 7.
  • 257/ 11 = 23.36 so it's not divisible by 11
  • Finally 257 / 13= 19.76 so it's not divisible by 13.

Therefore, 257 is prime.

7 0
3 years ago
Which numbers should be multiplied to obtain 175^2 − 124^2?
Tomtit [17]
Hi There! :)

<span>Which numbers should be multiplied to obtain 175^2 − 124^2?

</span><span>51 and 299</span>
7 0
3 years ago
Read 2 more answers
Julio had $100 in account A on Sunday how much money does have in the account on Friday
yuradex [85]

Answer:

there is no way to solve it

Step-by-step explanation:

i think you may have missed part of the question

4 0
2 years ago
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Solve with solution...no spam answers pls
Agata [3.3K]
<span>Let's analyze Hannah's work, step-by-step, to see if she made any mistakes. 

</span>In Step 1, Hannah wrote \dfrac{d}{dx} (-3+8x) <span> as the sum of two separate derivatives </span>\dfrac{d}{dx}(-3)+ \dfrac{d}{dx} (8x) <span>using the </span><span>sum rule.
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This step is perfectly fine. 

In Step 2, \dfrac{d}{dx}(8x) was kept as it is, and \dfrac{d}{dx}(-3) was rewritten as 0 using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.

This step is perfectly fine. 

In Step 3, \dfrac{d}{dx} (8x)  was rewritten as \dfrac{d}{dx}(8) \dfrac{d}{dx}(x) supposedly using the constant multiple rule.

The problem is that according to the constant multiple rule, \dfrac{d}{dx}(8x)&#10; should be rewritten as 8 \dfrac{d}{dx}(x) and not as \dfrac{d}{dx}(8)\dfrac{d}{dx}(x).  

<span>Therefore, Hannah made a mistake in this step.</span>
6 0
3 years ago
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Solve with completing the square method:<br>6x²-7x+2=0 and  ax²+bx+c=0
Norma-Jean [14]
6x ^2-7x+2=0\\ \\ a=6 , \ b = -7 , \ c=2 \\ \\\Delta = b^{2}-4ac = (-7)^{2}-4*6*2=49-48=1 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{7-\sqrt{1}}{2*6}=\frac{7-1}{12} =\frac{6}{12}= \frac{1}{ 2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{7+\sqrt{1}}{2*6}=\frac{7+1}{12} =\frac{8}{12}= \frac{2}{ 3}


7 0
3 years ago
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