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Otrada [13]
3 years ago
13

Explain when the congruent complements theorem would be appropriate to use in a proof.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
7 0
<span>The congruent complements theorem 2 <span> angles are complements of the same angle (or of congruent angles), then the two angles are congruent.</span></span>
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A B C D and F are questions about the picture please help!!
Lyrx [107]
I'm going to separate this into sections so it makes more sense for you to read. For the problems with π where you have to round, ask your teacher where to round, unless your textbook specifies it:

A – 100 cm^2

To calculate area of squares, you multiply l • w. It's a square, so all sides are equal, and since we know that one side = 10 cm, the area is 10 • 10 = 100

B – πr^2         (not sure if the r shows up very well, so I'm retyping it in words - pi • radius squared)

C – 25π cm^2 or an approximate round like 78.54 cm^2 (ask your teacher about this – it could be to the nearest tenth, hundredth, etc.)

To find the area of a circle, you must follow the formula πr^2. In this case, the diameter is 10. The radius is half the diameter, so to substitute the values you must find 10 ÷ 2 = 5. So the radius is 5 cm. From there you can substitute r for 5, ending up with π • 5^2.    5^2 = 25, so the area is 25π, or about 78.54, depending on where the question wants you to round.

D – An approximate round (to the nearest hundredth it is 21.46 cm^2)

To find the area of the shaded region, just subtract the circle's area from the square's area, or 100 – 25π ≈ 21.46. Again, though, ask your teacher about where to round, unless your textbook specifies it.

E – dπ      (diameter • pi)

F – 10π cm^2 or an approximate round like 31.42 cm^2

The diameter is 10. 10π ≈ 31.42

Hope this helps!
5 0
2 years ago
Read 2 more answers
Thomas has four jugs of different sizes. One holds 1.2 liters, one
dimulka [17.4K]
I don’t know how to do these
7 0
3 years ago
A cone has radius 9 and height 12. A frustum of this cone has height 4.
Rom4ik [11]

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

AC/AE=BC/DE

Substituting the values  

12/16=9/DE

∴ DE= 16*9/12= 12

Hence the radii of the frustum is 12  

3 0
3 years ago
Ebert used to make $22 an hour, but got a 10% raise.How much more will he make in a 40 hour work week with the raise?
Scilla [17]
The answer is 968 if because of add
6 0
3 years ago
3. Nancy and Harry are sliding a stone statue and moving it to a new location in their garden. Nancy is pushing the statue with
Elis [28]

Answer:

197,8879 N.

Step-by-step explanation:

The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.

The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.

With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.

The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.

F= (120 N cos 60°) + (180 N x cos 40°)

F= 197,8879 N

5 0
3 years ago
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