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ira [324]
3 years ago
8

Can we conclude that two similar figures can also be congruent figures? Explain.

Mathematics
1 answer:
shusha [124]3 years ago
7 0

Answer:

In similar figures, the angles are congruent, even if the sides are not. Notice that one angle in each pair of figures corresponds to an angle in the other figure. They have the same shape but not the same size

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Rectangular prism the two square on the end have 4 vertices each
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2 years ago
What information is necessary to prove the triangles congruent by SAS? ​
Ber [7]

Answer:

SAS requires two congruent sides and the included angle be also congruent

Given is the picture are congruent triangles

<u>ΔACB ≅ ΔECD, because:</u>

  • AC ≅ EC, given
  • BC ≅ DC, given
  • ∠ACB ≅ ∠ECD, vertical angles
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2 years ago
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* 4. A circle is divided into ten equal sectors.
Fiesta28 [93]

Answer:

a. Find the measure of each central angle.

The central angle of a circle = 360 °

Now Pie is cut into 10 equal sectors

Angle of each sector is given by

Angle of sector = Total central angle/number of sectors

=  {360}^{0}  \div 10

=  {36}^{0}

Hence , the central angle of one slice of pie is 36°

b. If the diameter is 50 in., find the length of an arc of one of the sectors.

length of an arc of one of the sectors =

= \frac{1}{n}  \times 2\pi \times r

= \frac{1}{10}  \times 2\ \frac{22}{7}  \times 50

= 31.42 \: in

7 0
2 years ago
Find the quotient of -25 *division sign* (-5)
photoshop1234 [79]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
7.2.4Practice: Modeling: Geometric Sequences
Margaret [11]

Answer:

1. I chose the tennis ball.

What do you know?

I know that a tennis ball will rebound 58 inches when dropped onto a hard surface from a height of 100 inches. All of the measurements are taken from the bottom of the ball.

What do you want to find out?

I want to find out how high the tennis ball will bounce on the 10th bounce.

What kind of answer do you expect?

I expect to find an answer that fits into a geometric sequence, and has a constant common ration.  

2. Assume that the ball rebounds the same percentage on each bounce. Using the initial drop height and the height after the first bounce, find the common ratio, r.

Note: Round r to three decimal places. Use this formula:

The initial drop height=100 inches

The height on the first bounce=58% or 0.58

r=the common ratio

r=0.58/1.00

r=0.58

3. State the general version of the recursive formula.

a(1)

a(n)=a(n-1)+d

a(height on the first bounce)

a(n)=a(number of terms-1)+common difference

4. Find the recursive formula for the height of your ball. Remember that the 1st term, a1, is the height of the ball on the first bounce.

a(1)=58

a(n)=a(n-1)+0.58

5. Fill out the following table for your ball's height after the first 3 bounces. Note: Let n = bounce number. The height on the 1st bounce, n = 1, is given.

Table is attached below.

6. Write the explicit formula for the geometric sequence of the height of the ball on the nth bounce. Use the formula an = a1 • rn – 1. Remember that the 1st term, a1, is the height of the ball on the first bounce.

an=58*0.58^n-1

7. Using the explicit formula, find the height of the ball on the 10th bounce.

a10=58*0.58^10-1

a10=58*0.58^9

0.58^9=0.00742...

Multiply 58 by 0.00742…=0.4308...

a10=0.43

The height of the ball on the 10th bounce is about 0.43 inches or 0.4308

8. What are some factors that could affect the ball's bounce? Why might a ball bounce higher or lower than the regulated height?

Factors that could affect the ball’s bounce could be the height from which the ball is dropped, the air pressure inside of the ball, the hardness of the surface, and the actual properties of the ball. A ball may bounce higher or lower than the regulated height because of the force of which it is being dropped.

9.  For the sport you chose, why would it matter if a player used a ball that bounced higher than the regulation?

In tennis, it could give one player an advantage to make the ball bounce higher towards the opponent(s). Returning a high-bouncing ball could be relatively difficult for the players, so this could also make the match harder than it would otherwise be.

I hope this helps! :)

7 0
3 years ago
Read 2 more answers
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