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Stella [2.4K]
3 years ago
8

A quadrilateral circumscribed about a circle has angles of 80 90 94 and 96. find the measures of the four non overlapping arcs d

etermined by the points of tangency
Mathematics
1 answer:
OverLord2011 [107]3 years ago
5 0
For the answer to the question above, <span>the two lines from the 80º angle to the points of tangency:

Try to draw two lines from the points of tangency to the center of the circle:

a quadrilateral with two right angles is formed as you may see.

the angles of a quadrilateral add up to 360º
The center angle is 360º - (90º + 90º + 80º) =100º

Similarly, the angles at the center for other vertices of original quadrilaterals are: 90º, 86º, and 84º
It depends upon the site you measure your arc in, (usual radians) the arcs are π /4 (90º), 7π /30 (84º), 5π /18 (100º) and 43π /180 (86º)</span>
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84% 84, percent of astrid's books are fiction. What fraction of astrid's books are fiction?
yuradex [85]

Let number of  books by astrid's = x

Out of x , 84% are fiction.

So, Number of non fictional books = x - \frac{84x}{100}

                                       =  \frac{100x- 84 x}{100} =  \frac{16x}{100}

→Ratio of number of  books to  fictional books

                                     =\frac{x}{\frac{84x}{100}}\\ = \frac{100}{84}\\= \frac{25}{21}⇒[Dividing numerator and denominator by 4.]

→Out of 25 books by astrid 21 are fictional.

→ Number of fictional books by astrid = \frac{21}{25}

7 0
3 years ago
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What is the following sum in simplest form?
elena55 [62]

Answer:

C.  9√2.

Step-by-step explanation:

√8 + 3 √2+ √ 32

= √4 *√2 + 3√2 +  √16*√2

= 2√2 + 3√2 + 4√2

= 9√2.

8 0
3 years ago
Use benchmarks to estimate the sum, difference, or product. (I NEED THIS ANSWERED SUPER FAST ITS WORTH 30 POINTS)
vlada-n [284]
1.1 71/72
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A line that goes from quadrant III to the quadrant I would have a slope of
BartSMP [9]

Answer:

It would be any positive slope.

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3 years ago
IQ test scores are standardized to produce a normal distribution with a mean of = 100 and a standard deviation of = 15. Find the
mixas84 [53]

Answer:

0.01

Step-by-step explanation:

Using the z score formula

z = (x-μ)/σ,

where x is the raw score = 135

μ is the population mean = 100

σ is the population standard deviation = 15

z = 135 - 100/15

z = 2.33333

P-value from Z-Table:

P(x<135) = 0.99018

P(x>135) = 1 - P(x<135)

P(x > 135) = 1 - 0.99018

= 0.0098153

Approximately to 2 decimal places

= 0.01

Therefore, the proportion of the population for the following IQ score of 135 is 0.01

4 0
3 years ago
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