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nikklg [1K]
2 years ago
12

if angle CDE is a straight angle, DE bisects angle GDH, angle GDE=(8x-1), angle EDH= (6x+15), and angle CDF=43 , find each measu

re

Mathematics
1 answer:
True [87]2 years ago
3 0

Answer:

<GDE= 55 °      <EDH=57°

Step-by-step explanation:

Note:

When an angles is bisected, the inital angles is seperated into two congruent angles.

Diction: congruent means equal

8x-1=6x+15

+1 -6x

2x=14

x=7

insert the missing variable

8 times 7 equals 56, subtract 1, it equals 55

6 times 7 equals 42, plus 15, it equals 57

I hope this helps, have a great day!

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the square area is 4x4 is 16

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area of a semicircle is pi * r^2/2

3.14*2^2/2=6.28

since there are 45 sides of a square, 6.28x3=18.84

add 18.84 and 16.

34.84 is your answer.

3 0
2 years ago
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A small insurance company has determined that on average it receives 6 property damage claims per day. P left parenthesis X equa
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Euclid introduced the axiomatic

Step-by-step explanation:

5 0
2 years ago
A random sample of the actual weight of 5-lb bags of mulch produces a mean of 4.963 lb and a standard deviation of 0.067 lb. If
dsp73

Answer: B) 4.963±0.019.

Step-by-step explanation:

Confidence interval for population mean ( when population standard deviation is not given) is given by :-

\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}

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As per given:

n= 50

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4.963\pm (2.010)\dfrac{0.067}{\sqrt{50}}\\\\ 4.963\pm (2.010)(0.0094752)\\\\ 4.963\pm0.019045152\approx4.963\pm0.019

Hence,  a 95% confidence interval for the mean weight (in pounds) of the mulch produced by this company is 4.963\pm0.019.

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7 0
2 years ago
your friend deposits $9500 in an investment account that earns 2.1% annual interest. what is the balance after 11 years when the
solmaris [256]

Answer:

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Step-by-step explanation:

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P =  $ 9500

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total quarterly year =4

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A= P (1+\frac{r}{n})^{nt}\\\\

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A= P (1+\frac{r}{n})^{nt}\\\\

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2 years ago
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The correct answer is 0.5

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