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grin007 [14]
3 years ago
10

Find the value of x in the figure below. Show all steps. circle with two secants forming an angle to one side of the circle; the

two secants cut out arcs of measure 158 degrees and 64 degrees; the angle formed by the two secants is 9 x minus 5 degrees

Mathematics
1 answer:
pshichka [43]3 years ago
5 0
The complete question in the attached figure

we know that
<span>An<span> exterior angle</span></span><span> is one that has its vertex at an outer point of the circumference.
</span><span>The measure of the external angle is the semi-difference of the arcs that it covers.

in this problem the external angle is </span>∡(9x-5)°
and
the semi-difference of the arcs that it covers is (1/2)*(158°-64°)=47°

then
(9x-5)=47-------> 9x=47+5----------> 9x=52--------> x=5.78°

the answer is
x=5.78°

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During the 2015-16 NBA season, J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 . Assume th
ser-zykov [4K]

Answer: 0.5898

Step-by-step explanation:

Given :  J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 .

We assume that,

The probability that .J. Redick makes any given free throw =0.901  (1)

Free throws are independent.

So it is a binomial distribution .

Using binomial probability formula, the probability of getting success in x trials :

P(X=x)^nC_xp^x(1-p)^{n-x}

, where n= total trials

p= probability of getting in each trial.

Let x be binomial variable that represents the number of a=makes.

n= 14

p= 0.901     (from (1))

The probability that he makes at least 13 of them will be :-

P(x\geq13)=P(x=13)+P(x=14)

=^{14}C_{13}(0.901)^{13}(1-0.901)^1+^{14}C_{14}(0.901)^{14}(1-0.901)^0\\\\=(14)(0.901)^{13}(0.099)+(1)(0.901)^{14}\ \ [\because\ ^nC_n=1\ \&\ ^nC_{n-1}=n ]\\\\\approx0.3574+0.2324=0.5898

∴ The required probability = 0.5898

5 0
3 years ago
If QR = 18, RS = x -11, and QS = 2x - 11, what is QS?
monitta

Answer:

QS =25

Step-by-step explanation:

QR + RS = QS

18 + (x-11) =2x-11

7 +x =2x -11

18=x

Plug in x

2(18) -11

36-11

QS=25

18 + (18-11) = 2(18)- 11

18+ 7 = 36 -11

25= 25

True

8 0
4 years ago
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Explain how you can use base ten blocks to find 1.54+ 2.37
solong [7]
0.00

*First column to your left - ones column (1)
*Column just after decimal place, in the middle - tenths column (1/10)
*Column to the far right - hundredths column (1/100)

The only numbers that can go in these columns are 0-9.

-------------

1.54 + 2.37 

= (1 + 5/10 + 4/100) + (2 + 3/10 + 7/100)

= 1 + 5/10 + 4/100 + 2 + 3/10 + 7/100

= 3 + 8/10 + 11/100

= 3 + 8/10 + (10/100 + 1/100)

= 3 + 8/10 + (1/10 + 1/100)

= 3 + 8/10 + 1/10 + 1/100

= 3 + 9/10 + 1/100

= 3.91
6 0
3 years ago
The population density of Themville is 17.5 Thems per acre. Exactly 840 Thems live in Themville. How many acres is Themville?
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14700 is the correct awnser plz make me Brainlyest
4 0
4 years ago
For every dollar there is 100 pennies. think about that.
Vesnalui [34]

Answer:

The answer is 0.01. We assume you are converting between dollar bill and penny. You can view more details on each measurement unit: Dollar or penny The main non-SI unit for U.S. currency is the dollar. 1 dollar is equal to 100 penny. Note that rounding errors may occur, so always check the results.

Step-by-step explanation:

5 0
3 years ago
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