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AnnZ [28]
3 years ago
14

Gina wilson unit 6 homework 4 help with 6,8,and9

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

  • Q6. x = 17
  • Q8. Yes, parallel
  • Q9. No, not parallel

Step-by-step explanation:

Q6. Solve for x

<u>Use ratios of similar sides</u>

  • 28/(82 - 28) = (2x + 8)/(5x - 4)
  • 28/54 = (2x + 8)/(5x - 4)
  • 14/27 = (2x + 8)/(5x - 4)
  • 14(5x - 4) = 27(2x + 8)
  • 70x - 56 = 54x + 216
  • 70x - 54x = 56 + 216
  • 16x = 272
  • x = 272/16
  • x = 17

Q8

If ratios are same, the lines are parallel

  • 41.8/33 = (102 - 45)/45
  • 41.8/33 = 57/45
  • 41.8*45 = 33*57
  • 1881 = 1881

Yes, lines are parallel

Q9

  • 38/19 = 52/24
  • 2 = 2 1/3

Incorrect, lines are not parallel

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Answer:

Investment with interest rate 0.1872 is better

Step-by-step explanation:

Given as :

George investment principal = $20,000

The Rate of interest  (R1)   = 18 \frac{2}{3} % = \frac{56}{3} %

I.e   R1 = 18.67 %

Again The The Rate of interest  (R2)  = 0.1872  = 18.72 %

Let the time period for both rate of interest = 1 years

Now from compound interest method

Amount = Principal × (1 + \frac{Rate}{100})^{Time}

Or,    A 1 = $ 20 , 000 × (1 + \frac{18.67}{100})^{1}

Or,    A 1 = $ 20 ,000 × 1.1867

∴       A 1 = $ 23,734

And   A 2 = $ 20 , 000 × (1 + \frac{18.72}{100})^{1}

Or,     A 2 = $ 20 ,000 × 1.1872

∴        A 2 = $ 23,744

Hence From the calculation of both amount it is clear that , investment with interest rate 0.1872 is better . Answer

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Answer:

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Step-by-step explanation:

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SAVE ME. Please Answer my Questions Clevers.
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Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

Counting numbers are Natural numbers: \mathbb{N}

Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as \mathbb{Z}_{\ge 0}

<u>Whole numbers less than or equal to 20</u>: A\leq 20, A \subset \mathbb{Z}_{\ge 0}  \\\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}

<u>A. Prime numbers</u>

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

$P=\frac{8}{21} \approx 40\%$

<u>B. Composite numbers</u>

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

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From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

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\sqrt{9} =3

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Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

$P=\frac{5}{21} \approx 24\%$

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

2x+3x=180 \implies 5x=180 \implies x=36

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of  9x-4<13x-7 (domain, x e z) ?

x \in \mathbb{Z}\\

$x>\frac{3}{4} $

$x\in \left(\frac{3}{4},\infty \right)$

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Q5. which one is the equation of the line passing through the origin and having a slope 4?

y=mx+b

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Step-by-step explanation:

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