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Gre4nikov [31]
3 years ago
6

Given parallelogram ABCD, m\angle A=5x+18 and m\angle B=3x-6 find find m\ C

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer:

57

Step-by-step explanation:

Firstly, we will need to calculate what x is.

To calculate this, the important property of the parallelogram to use is that adjacent angles are supplementary.

This means A and B are supplementary while B and C are also supplementary

what we are trying to say is that they add up to be 180

Thus,

5x + 18 + 3x -6 = 180

8x +12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21

Thus, the measure of angle B is 3x-6 = 3(21) -6 = 63-6 = 57

Now, another important property of parallelograms is that opposite angles are equal. This means that angle B= C = 57

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What is the approximate value of 113−−−√ to the nearest tenth?
castortr0y [4]

Answer:

10.6

Step-by-step explanation:

1. First, we need to find which digits √(113) is between, and that would be 10 and 11.

2. Okay, so √(113) is between 10 and 11, meaning 113 is between 100 and 121.

3. Since 113 is a little over half between 100 and 121, let's multiply 10.6 by 10.6 to see how close we are to 113:

  • 10.6 * 10.6
  • 112.36

4. 112.36 is pretty close to 113, therefore, the dot on the number-line should be placed at 10.6.

7 0
3 years ago
In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the re
Ronch [10]

Answer:

REQUIRED TEST STATICS IS 35.19

Step-by-step explanation:

total size of sample = 10,000

                                     men                            women

voted                           2777                            3466

did not vote                  1444                             2313

By chi square test we can find the relationship between gender and participation in the election

<em>X^2 = \frac{ N(ad-bc)^2}{(a+c)(b+d)+(a+b)(c+d)}</em>

where

a represent  = 2777, b = 3466, c= 1444, d = 2313, N = 10000

Putting values to get chis square statics

<em>X^2 = \frac{ 10000(2777*2313-3466*1444)^2}{(2777+1444)(3466+2313)+(2777+3466)(1444+2313)}</em>

<em>X^2 = = 35.159</em>

HENCE REQUIRED TEST STATICS IS 35.19

3 0
4 years ago
Find the exponential function that passes through the points (2,80) and (5,5120)​
juin [17]

Answer:

  y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

  y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

  y1 = a·b^(x1)

  y2 = a·b^(x1)

Divide the second equation by the first:

  y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

  (y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

  a = y1/(b^(x1))

In summary:

  • b = (y2/y1)^(1/(x2 -x1))
  • a = y1·b^(-x1)

__

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

  b = (5120/80)^(1/(5-2)) = ∛64 = 4

  a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

  y = 5·4^x

3 0
3 years ago
5x-3y=-11<br> x-2y=2<br> this is for home work please help
ale4655 [162]
5x - 3y = 11 ⇒ 5x - 3y = 11  ⇒   5x - 3y = 11
  x - 2y = 2   ⇒ -5(x - 3y) = 2 ⇒ <u>-5x + 15y = 2</u>
                                                           <u>12y</u> = <u>13</u>
                                                            12     12
                                                             y = 1 1/12
                                                 5x - 3(1 1/12) = 11
                                                 5x - 3 1/4 = 11
                                                <u>      +3 1/4    +3 1/4</u>
                                                            <u> 5x</u> = <u>14 1/4</u>
                                                              5          5
                                                               x = 2 17/20
                                                 (x, y) = (2 17/20, 1 1/12)
8 0
3 years ago
HELP PLEASEE no links hellpp
bezimeni [28]

Answer:

B and E

Step-by-step explanation:

perpendicular sides mean they will equal 90 degrees... so all rectangles and squares are perpendicular- a 90 degree triangle also is perpendicular. The Equatorial and the Acute triangle do not have 90 degree angles

4 0
3 years ago
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