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expeople1 [14]
3 years ago
8

Simplify the following:

Mathematics
1 answer:
aivan3 [116]3 years ago
6 0

Answer:

A

Step-by-step explanation:

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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
A boat is spotted in the water with an angle of depression of 25° from the top of a lighthouse that is 89 feet tall. To the near
stepan [7]
To calculate this you need to imagine triangle which points are:
boat
Top of lighthouse
Bottom of lighthouse

That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse

tan(25) = 89/x
x = 89/tan(25)
x = 190.86

after rounding, the answer is D, 191 feet
4 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!!!!!!
kotykmax [81]
What's the question?
7 0
3 years ago
If the customer's order came to $6.22 and he gave you $20.25 what is his change
taurus [48]
He'll get $14.03 because 20.25 is what he gave but it only came up to 6.22 so 20.25-6.22=14.03
7 0
3 years ago
Read 2 more answers
5/8+1/12 in the lowest terms
VladimirAG [237]

Answer:

17/24 i believe

Step-by-step explanation:

because 8 and 12 both have 24 as the lowest common multiple and 8x3 gets 24 and 12 times 2 gets 24

so the equation would be

15/24+2/24=17/24 which cant be simplified

3 0
2 years ago
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