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MatroZZZ [7]
3 years ago
6

Can someone please help me on 3,4, and 5

Mathematics
2 answers:
alexandr1967 [171]3 years ago
8 0
A=45 b=60 c=90 I think
mamaluj [8]3 years ago
3 0

This is algebra and rearranging equations.

Let's start with question 3. The sum of all the angles in the triangle is 180 degrees. Therefore, 45 + 2k + k = 180. We can solve this:

180 - 45 = 3k by rearranging the equation so 135 = 3k, so k = 135/3 = 45 degrees. We can now see that the triangle is isosceles, with two angles being both 45 degrees.

The other two follow the same process:

4: a + 2a + 2a+ a = 360 so 6a = 360

a = 360/6 = 60 degrees

5: b + 3/2 b+ (b+45) + (2b-90) + 90 = 540

5b + 1/2b + 45 = 540 (because the -90 and +90 cancel each other out)

so 5 1/2b = 495

b = 90

If you use each letter and substitute in the values into the angles, you will find that they all add up to the sum of angle measures of each shape.

Hope I helped!

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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
Sam can mow a lawn in 40 minutes. Melissa can mow the same lawn in 80 minutes. How long does it take for both Sam and Melissa to
Sidana [21]

Answer:

It will take them both 24 minutes to mow the lawn if they are working together.

Step-by-step explanation:

Given that Sam can mow a lawn in 40 minutes, and Melissa can mow the same lawn in 80 minutes, to determine how long does it take for both Sam and Melissa to mow the lawn if they are working together, the following calculation must be performed:

1/40 + 1/60 = 1 / X

3X + 2X = 120

X = 120/5

X = 24

Thus, it will take them both 24 minutes to mow the lawn if they are working together.

4 0
3 years ago
What is the sign of the product (−2)(4)(−6)(−3)?
Alexeev081 [22]

the answer is A. as - x - = +


7 0
3 years ago
Read 2 more answers
Can you tell me what -15 + 4 equals and the process of how you got that answer
Bogdan [553]

-15 is 15 below o

 you are adding 4 , so you are getting closer to 0

 so you would actually use subtraction, 15-4 = 11

 since 15 is negative, and you are adding a number smaller than 15, the answer would be negative so it would be -11


4 0
3 years ago
During a four-week period, you worked the following hours: Week 1- 363 /8 hr; Week 2- 411 /4 hr; Week 3- 401 /2 hr; Week 4- 383
Dafna11 [192]
The average number of hours can be calculated using the following rule:
average number of hours = total number of hours / total number of weeks

total number of hours = 36 3/8 + 41 1/4 + 40 1/2 + 38 3/8 = 313/2 hours
total number of weeks = 4 weeks

Average number of hours per week = (313/2) / (4) = 39 1/8 hour

Based on the above calculations, the correct answer is:
C. 39 1/8 hour
4 0
3 years ago
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