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riadik2000 [5.3K]
3 years ago
12

Name six pairs of supplementary angles

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0

Supplementary angles are those angles whose sum of the measures of angles is 180 degrees.

Observe the figure clearly.

1. \angle AGF , \angle AGC are supplementary angles.

2. \angle FGD, \angle DGC are supplementary angles.

3. \angle FGE, \angle EGD, \angle DGC are supplementary angles.

4. \angle AGE, \angle AGB are supplementary angles.

5. \angle BGC, \angle CGD, \angle DGE are supplementary angles.

6. \angle CGE, \angle EGF are supplementary angles.

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An activity has an optimistic time estimate of 25 days, a most likely estimate of 29 days, and a pessimistic estimate of 34 days
Margaret [11]

The expected duration of the activity is 29 days and 4 hours.

Step-by-step explanation:

Step 1:

The optimistic time, t_{o} = 25 days,

The most likely estimate, t_{m} = 29 days.

The pessimistic time, t_{p} = 34 days.

According to PERT, the expected duration of the activity, t_{e} = \frac{t_{0}+4t_{m} +t_{p}  }{6}.

Step 2:

By substituting the given values, we gett_{e} = \frac{t_{0}+4t_{m} +t_{p}  }{6} = t_{e} = \frac{25+4(29) +34  }{6} = \frac{175}{6} = 29.1666.

0.1666 days = 0.1666 (24) = 3.9999 hours.

29.1666 days approximately equal 29 days and 4 hours.

8 0
3 years ago
PLEASE HELP IF POSSIBLE :)
ollegr [7]

Answer:

JM = 20

Step-by-step explanation:

Find the value of JM

Using similar triangles;

MJ/HN = GJ/HK

GJ+JM/HN = GJ/HK

15+JM/12+16 = 15/12

15+JM/28 = 15/12

Cross multiply

12(15+JM) = 15*28

180+12JM = 420

12JM = 420 - 180

12JM = 240

JM = 240/12

JM = 20

<em>Hence the length of JM is 20</em>

6 0
3 years ago
Factorise x²-49<br>please solve this answer​
Degger [83]

Answer:

(x+7)(x-7)

Step-by-step explanation:

x²-49

=x²-7²

=(x+7)(x-7)

4 0
3 years ago
Read 2 more answers
Describe the relationships among the measures of the angles of a triangle
xeze [42]
The measures of the angles in a triangle determine which type of triangle it it. Such as 1 90 degree angle and 2 45 degree angles make it a right triangle.
4 0
3 years ago
A popcorn container is the shape of an inverted cone. It is 9 inches tall, and the circular opening has a diameter of 4 inches.
stealth61 [152]

Answer:

<u>The volume of the container is 37.7 cubic inches and the equation is π * r² * h/3, where r is the radius and h is the height of the cone.</u>

Step-by-step explanation:

Let's recall that the formula for finding out the volume of a cone is:

Volume of a cone = π * r² * h/3

Replacing with the real values, we have:

diameter = 4 inches ⇒ radius = 2 inches

Volume of a cone = 3.1416 * 2² * 9/3

Volume of a cone = 3.1416 * 4 * 3

Volume of a cone = 37.7 cubic inches

5 0
2 years ago
Read 2 more answers
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