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pickupchik [31]
4 years ago
13

Help me pls and explain​

Mathematics
1 answer:
hammer [34]4 years ago
3 0

Answer:

14. x = 1

16. x = 4

18. x = 10

Step-by-step explanation:

14. We have ∠ HGF = ∠ HGP + ∠ PGF

Given, ∠ HGF = 177x + 1, ∠HGP = 1 + 99x and ∠ PGF = 78°

So, 177x + 1 = 1 + 99x + 78

⇒ 78x = 78

⇒ x = 1 (Answer)

16. We have ∠ BCD = ∠ BCK + ∠ KCD

Given that, ∠ BCK = 9x - 2, ∠ BCD = 174° and ∠ KCD = 34x + 4

So, 174 = 9x - 2 + 34x + 4 = 43 x + 2

⇒ 43x = 172

⇒ x = 4 (Answer)

18. We have ∠ IJK = ∠ IJR + ∠ RJK

Now, given that, ∠ RJK = 8x + 10, ∠ IJR = 5x +8 and ∠ IJK = 148°

So, 148 = 5x + 8 + 8x + 10 =13x + 18

⇒ 13x = 130

⇒ x = 10 (Answer)

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STatiana [176]

Answer:

To determine the compound interest of a certain investment, the following formula should be used:

X = Initial value (1 + interest rate / number of compositions) ^ years x number of compositions

Thus, in the assumption of an investment of $ 1,000 with interest compounded daily at 3% for 8 years, the formula would be the following:

X = 1,000 x (1 + 3/365) ^ (8x365)

X = 1,271.24

On the other hand, in the case of an investment of $ 1,000 with compound interest every 6 months at 3% for 8 years, the formula would apply as follows:

X = 1,000 x (1 + 3/2) ^ (8x2)

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6 0
3 years ago
The time college students spend on the internet follows a Normal distribution. At Johnson University, the mean time is 5 hrs wit
netineya [11]

Answer:

The probability that the average time 100 random students on campus will spend more than 5 hours on the internet is 0.5

Step-by-step explanation:

We are given that . At Johnson University, the mean time is 5 hrs with a standard deviation of 1.2 hrs.

Mean = \mu = 5 hours

Standard deviation = \sigma = 1.2 hours

We are supposed to find the probability that the average time 100 random students on campus will spend more than 5 hours on the internet i.e. P(X>5)

Z=\frac{x-\mu}{\sigma}

Z=\frac{5-5}{1.2}

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P(X>5)=1-P(X<5)=1-P(Z<0)=1-0.5=0.5

Hence the probability that the average time 100 random students on campus will spend more than 5 hours on the internet is 0.5

7 0
3 years ago
Jorge needs a string that is 4 feet long. so far his string is 44 inches. is it long enough or does he need to make it longer
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Find the value of x in the triangle shown below
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Answer:

As to sidea are equal therefore it is an isosceles triangle .

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8 0
3 years ago
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<span>A) y = (2/3) x − 1 </span>
4 0
4 years ago
Read 2 more answers
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