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2 years ago

In the accompanying figure, chords AB and CD of circle O intersect at E. If m AD=100 and m CB=70, what is m AED?

Mathematics

1 answer:

vfiekz [6]2 years ago

7 0

Answer:

Step-by-step explanation:

Find the average of 100 and 70 which is 100 + 70 = 170/2 = 85

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Sixteen college freshmen were asked to record the number of alcoholic drinks they typically consume in a week. Here are their da

rjkz [21]

Solution: The correct option is d. 8.75

<u>Explanation:</u>

The formula for variance is:

$Variance =\frac{\sum(x-\bar{x})^{2}}{n}$

First we need to find the mean $\bar{x}$ of the given data:

$\bar{x}=\frac{2+4+6+0+1+10+9+0+6+3+6+8+5+4+6+2}{16}=\frac{72}{16} =4.5$

Now let's find $\sum(x-\bar{x})^{2}$ , please have a look at the attached picture:

$\therefore Variance = \frac{140}{16}=8.75$

7 0

3 years ago

Factor <br> (a-2b) (3x-5y) + (2b-a)(x-y)

agasfer [191]

Answer:

8by + 2ax - 4bx - 4ay

Step-by-step explanation:

I assume you mean expand so:

(a - 2b)(3x - 5y) + (2b - a)(x - y)

3ax - 5ay - 6bx + 10by + 2bx - 2by - ax + ay

Now collect like terms:

2ax - 4ay - 4bx + 8by

This is your answer but in a better order:

8by + 2ax - 4bx - 4ay

6 0

1 year ago

Factor the expression by finding the GCF.

Deffense [45]

Answer:

4m(4m-3)

Step-by-step explanation:

Factor 4m out of the statement because 4 is a factor of both 16 and -12, and m is a factor in m^2 and m.

8 0

2 years ago

2. Order 3.3,3.19,3 1/5,3 1/3.

cricket20 [7]

2.
$3\frac15=3.2\\ 3\frac13=3.33333...$

$3.19, \ \ \ 3\frac15, \ \ \ 3.3, \ \ \ 3\frac13$

3.
$20\%\cdot1500\$=0.2\cdot1500\$=300\$$

4.
$\frac{600g}{3kg}=\frac{600g}{3000g}=\frac{600g}{5\cdot600g}=\frac15$
This fraction is $\frac15$

5.
$10^3+10^2+10+1=1000+100+10+1=1111$

6. $6.7\cdot5\$=33.5\$$

7.
$180-40\%\cdot180=180-0.4\cdot180=180-72=108$

8.
$9^2-4\cdot9=81-36=45$

9.
from 8.45am to 12.45pm - 4 hours
$\$15\cdot4=\$60$
I earn $\$60$

10.
48 minutes = 1 hour - 12 min
21.15 - 1 hour = 20.15
20.15 + 12 min = 20.27

11.
$34.1^oC-27.6^oC=6.5^oC$

12.
$8\frac14 \ h= 8h \ 15min$
$10.30pm+8h = 6.30am\\ 6.30am+15min = \boxed{6.45am}$
I get up at 6.45am

13.
$12\cdot108=1296$

14.
$\overline{x}=\frac{8.2+9.4+3.5+2.9}4=\frac{24}4=6$

15.
$48\cdot26=1248 \ \ \ - \ \ \ total \ amount \ of \ lolipops \ in \ 48 \ bags\\ 1248\cdot20g=24960g = \boxed{24.96kg} \ \ \ - \ \ \ total \ weight \ of \ the \ 48 \ bags\\$

8 0

3 years ago

F(x) = -6x-1<br> f(-1/2) = ?

UNO [17]

Answer:

Intersection point of this is (0,-0.5)

Step-by-step explanation:

Hope this helps :)

7 0

3 years ago