Angle Relationships

What is the correct here

Leona [35]

Answer: it is the 2one

Step-by-step explanation:

6 0

4 years ago

Ken has 6 different colors of marbles he has 9 marbles of each color how many marbles does Ken have in all

solniwko [45]

6 times 9 equals 54 marbles

5 0

3 years ago

"Select the equation of the least squares line for the data: (34.0, 1.30), (32.5, 3.25), (35.0, .65), (31.0, 6.50), (30.0, 5.85)

yulyashka [42]

Answer:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

Step-by-step explanation:

We assume that the data is this one:

x: 34.0, 32.5, 35.0, 31.0, 30.0, 27.5, 29.0

y: 1.30, 3.25, 0.65, 6.50, 5.85, 8.45, 6.50

Find the least-squares line appropriate for this data.

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 34.0+ 32.5+ 35.0+ 31.0+ 30.0+ 27.5+ 29.0
=219$

$\sum_{i=1}^n y_i =1.3+3.25+0.65+6.5+5.85+8.45+6.5=32.5$

$\sum_{i=1}^n x^2_i = 34.0^2+ 32.5^2+ 35.0^2+ 31.0^2+ 30.0^2+ 27.5^2+ 29.0^2
=6895.5$

$\sum_{i=1}^n y^2_i =1.3^2+3.25^2+0.65^2+6.5^2+5.85^2+8.45^2+6.5^2=202.8$

$\sum_{i=1}^n x_i y_i =34*1.3 + 32.5*3.25+ 35*0.65+ 31*6.5+30*5.585 +27.5*8.45 +29*6.5=970.45$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6895.5-\frac{219^2}{7}=43.929$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=970.45-\frac{219*32.5}{7}=-46.336$

And the slope would be:

$m=-\frac{46.336}{43.929}=-1.055$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{219}{7}=31.286$

$\bar y= \frac{\sum y_i}{n}=\frac{32.5}{7}=4.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=4.643-(-1.055*31.286)=37.643$

So the line would be given by:

$y=-1.055 x +37.643$

And the best option would be:

a. ŷ= 37.643-1.0543x

5 0

4 years ago

Please help

Yuri [45]

Answer:

Yes

Step-by-step explanation:

$\angle EFT \cong \angle MKL...(1)\\(given) \\\angle EFT \cong \angle GFH... (2)\\(vertical\: \angle 's) \\\angle MKL \cong \angle JKN... (3)\\(vertical\: \angle 's)$

From equations (1), (2) & (3)

$\angle JKN \cong \angle GFH\\$

7 0

3 years ago

Helppp meee helpppp meeeee

stealth61 [152]

Answer:

1. Alt. Exterior angles (c)

2. Supplementary angles (e)

3.Alt. Interior angles (a)

4. Vertical angles (d)

5. Corresponding angles (b)

6. None (f)

7. Supplementary angles (e)

8. Alt. Interior angles (a)

9. M∠3 = 97° M∠5 = 97°

M∠10 = 97° M∠7 = 83°

M∠9 = 83° M∠16 = 97°

10. x = 5

11. x = 8

12. x = 20

Step-by-step explanation:

a.) 1-8

Alt. Exterior angles: Angles that are on the opposite sides of the transversal ( ex. 9∠16 and 13∠12)

Alt. Interior angles: Angles that are in the area between the parallel lines ( ex. 14 ∠11 and 10∠15)

Vertical angles: A pair of opposite angles formed by intersecting lines. ( ex. 12∠15 and 9∠14)

Corresponding angles: Angles that are in the same position relative to lines intersected by a transversal (ex. 9∠11 and 14∠16)

Supplementary angles: 2 angles that sum up to 180° ( ex. 9∠10, 11∠15, and 13∠14)

b.) 9

M∠2 is 97° and M∠3 are vertical angles so they both will have the same degrees (97°)

M∠2 and M∠10 are corresponding angles so they also will have the same degrees (97°)

Since you know M∠10 is 97° and a straight line is 180.

you would subtract 97 to 180 (180-97 = 83) so M∠9 is 83°

c.) 10-12

This is kind of like simple algebra

You would take M∠8 (4x+57) and M∠4 (77) and just put it into a problem ->

4x+57=77

-57 = 77

4x=20

20/4 = 5

7 0

2 years ago