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galben [10]
2 years ago
9

Please explain step-by-step. If you don't explain, don't even bother answering.

Mathematics
2 answers:
Sergeeva-Olga [200]2 years ago
5 0

Answer:

Alrighty... i am happy that you would like an explanation.. that is truly admirable...

let's begin!!!

Step-by-step explanation:

We need to place everything into an equation to solve for x... after that we can substitute the value for x into the expression for m<BOC to get its value (i hope this isn't confusing... the math is easier though... trust me)

8X -67 +9X -75 = 96              Add 67 and 75 to both sides to isolate x

8X +9X = 238       --> 17X = 238

divide both sides by 17 to get x = 14

then subsitute x = 14 into the expression for m < BOC

you get  8(14)-67 = 45

therefore, the measure of <BOC is 45 degrees

I really hope this helps!!!!!

Andre45 [30]2 years ago
4 0

Answer:

<u>45°</u>

Step-by-step explanation:

From the diagram :

  • ∠AOC = ∠AOB + ∠BOC
  • 96 = 9x - 75 + 8x - 67
  • 17x - 142 = 96
  • 17x = 238
  • x = 238/17
  • x = 14

Finding ∠BOC :

  • ∠BOC = 8x - 67
  • ∠BOC = 8(14) - 67
  • ∠BOC = 112 - 67
  • ∠BOC = <u>45°</u>
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Evaluate 9÷3[(20-7)-2^2]
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Answer:

43

Step-by-step explanation:

You will have to use the PEMDAS rule here. so Parntheses goes first, then exponents, then mutiplicaton or division, and finally addition or subtraction.

20-7= 13

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9/3 = 3

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3 0
3 years ago
Simplify the expression (1/x^2 + 2/y)/(5/x - 6/y^2)
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Answer:

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Step-by-step explanation:

7 0
3 years ago
PLEASE ANSWER
oksano4ka [1.4K]

Answer:

x² + 9x + 8 = (x + 1)(x + 8)

x² + 9x + 8 = (x + 8)(x + 1)

Step-by-step explanation:

* Lets explain how to factorize the polynomial using the pattern

- The form of the quadratic polynomial is x² + px + q, where p is the

  coefficient of x and q is the numerical term

∵ x² + (a + b)x + (ab) = (x + a)(x + b)

- From the formula above the coefficient of x is the sum of the two

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∴ p = a + b and q = ab

- That means p is the sum of two numbers and q is the product of

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* Lets solve the problem

∵ x² + 9x + 8 is a quadratic polynomial

∵ x² + px + q is the form of quadratic polynomial

∴ p = 9 and q = 8

∵ p = a + b and q = ab

∴ a + b = 9 ⇒ (1)

∴ ab = 8 ⇒ (2)

- We must to find two numbers their product is 8 and their sum is 9

∵ The possibility of 8 as a product of two numbers is:

   2 × 4 OR 1 × 8

∵ The sum of 1 + 8 = 9

∴ The value of a and b are 1 and 8

- It does't matter which of them = 1 or which of them = 8

∴ x² + (a + b)x + ab = x² + (1 + 8)x + (1)(9)

∵ x² + (a + b)x + (ab) = (x + a)(x + b)

∴ x² + (1 + 8)x + (1)(9) = (x + 1)(x + 8)

∴ x² + 9x + 8 = (x + 1)(x + 8)

- OR

∴ x² + 9x + 8 = (x + 8)(x + 1)

3 0
2 years ago
11. The coordinate grid shows points P, Q, R, and S. All the coordinates for these points
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Answer:

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Step-by-step explanation:

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