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Tomtit [17]
3 years ago
6

Please help with this geometry math problem!

Mathematics
1 answer:
valina [46]3 years ago
4 0

Answer:

∠8 * 4 = ∠7 ----------------(1)

∠8 + ∠7 = 180 ------------(2)

Taking the value of ∠7 from (1) and using it in (2):

<u><em>∠7 = 4 * ∠8</em></u>

<u><em /></u>

∠8 + ∠7 = 180

∠8 + (4 * ∠8) = 180

∠8 + 4∠8 = 180

5∠8 = 180

∠8 = 36° ---------------(3)

Using the value of ∠8 from (3) in (2):

∠8 + ∠7 = 180

36 + ∠7 = 180

∠7 = 144°       and       ∠8 = 36°

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Factorize 2x^4-7x^3-13x^2+63x-45 using factor theorem.
zheka24 [161]
Find the possible rational roots and use synthetic division to find the first zero.
I chose x=1 (which represents the factor "x-1")

1║2  -7  -13    63  -45
  ║     2    -5  -18    45
    2  -5  -18    45    0
(x-1) is a factor, (2x³ - 5x² - 18x + 45) is the other factor.

Use synthetic division on the decomposed polynomial to find the next zero.
I chose x = 3 (which represents the factor "x-3")

3║2  -5  -18    45 
  ║     6     3   -45   
    2   1  -15     0   

Using synthetic division, we discovered that (x-1), (x-3), & (2x² + x -15) are factors.  Take the new decomposed polynomial (2x² + x -15) and find the last two factors using any method.

Final Answer: (x-1)(x-3)(x+3)(2x-5)




8 0
3 years ago
Hello once again please help me out in pre cal
Thepotemich [5.8K]

Answer:

the answer is D 8.8

Step-by-step explanation:

5 0
3 years ago
What is the solution to 0.4(12 – 3x) = 0.3(12x – 16)?
TiliK225 [7]

Answer:

x = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

0.4(12 - 3x) = 0.3(12x - 16)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                4.8 - 1.2x = 3.6x - 4.8
  2. Add 1.2x on both sides:          4.8 = 4.8x - 4.8
  3. Add 4.8 on both sides:           9.6 = 4.8x
  4. Divide 4.8 on both sides:       2 = x
  5. Rewrite:                                   x = 2
8 0
3 years ago
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