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12345 [234]
2 years ago
15

Find the measure of angle x in the figure.

Mathematics
1 answer:
Ghella [55]2 years ago
4 0

Answer:

x = 125°

Step-by-step explanation:

There are 7 angles in this shape. The sum of the angles in a shape like this is calculated using a formula.

Total of angles

= (n - 2)•180°

Put in 7, because there are 7 angles.

= (7 - 2)•180°

= 5•180°

= 900°

So the total of the angles should be 900°. We know all of the angles except one.

900° = 123°+129°+128°+128°+132°+135°+ x

900° = 775° + x

Subtract 775.

125° = x

The missing angle is 125°.

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All the pictures are in order for every question
ivanzaharov [21]

Answer:

  1. C.) obtuse triangle
  2. 39°
  3. 167°
  4. D.) 111°

Step-by-step explanation:

1. The sum of angles in a triangle is 180°. The sum of the given angles is less than 90°, so the remaining angle must be more than 90°. When the largest angle is more than 90°, it is an obtuse angle. A triangle with an obtuse angle is classified as obtuse.

__

2. The sum of the interior angles is 180°, so we have ...

  x° +39° +102° = 180°

  x° = 39° . . . . . . . . . . . subtract 141°

__

3. The third interior angle is the supplement to the sum of the given interior angles. Likewise, x° is the supplement to the third interior angle, so its value is the same as the sum of the two given interior angles. (The rule is often stated as "an exterior angle is equal to the sum of the remote interior angles.")

  x° = 130° +37°

  x° = 167°

__

4. Same deal as problem 3:

  x° = 75° +36°

  x° = 111°

7 0
3 years ago
1. What number decreased by 9 is 25? (0.5 pt)
Blizzard [7]

Answer:

34

Step-by-step explanation:

x - 9 = 25

x=25+9

x=34

4 0
3 years ago
Two boys' ages total 24. Four less than six times the younger boy's age equals five more than three times the older boy's age. W
babunello [35]

Hey there!

Let x be boy 1's age, and y be boy 2's age (younger).

Firstly, we know that x+y=24

6y-4=3x+5 <== we have this right here. (using the rules given by the question)

We can use all the equations to help find the answer.

x+y=24

x+y (-y)= 24(-y)

x=24-y

Plug that into x in the equation we made above.

6y-4= 3(24-y)+5

6y-4= 72-3y+5

Add 4 to each side.

6y= 81 -3y

9y=81

y=9

We know the younger boys age is 9.

We can plug that in to find the older one's age.

x+9= 24

x= 15

The boy's ages are 9 and 15.

I hope this helps!

~kaikers


7 0
3 years ago
Ivan plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m mon
Sedaia [141]

Answer:

n=2m

Step-by-step explanation:

3 0
2 years ago
Which expression could be used to represent each bag?
KIM [24]

Answer:12 in each bag

Step-by-step explanation:

7 are in each bag she puts stichers in the rest and there are 3 left so 7 plus 7 plus 7 equals 21 57-21 equals 36 36 divided by three is 12

5 0
3 years ago
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