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Rom4ik [11]
3 years ago
15

"If three angles and two sides of two triangles are congruent, are the triangles congruent? Why or why not?"

Mathematics
1 answer:
Bond [772]3 years ago
8 0
The triangles would be congruent because of the two Triangle Congruence Theorms.


ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.


Because your triangle has more than two angles that are congruent, and more than one side that are congruent, it more than fits the theorms.

Hope this helps.
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A sector with a central angle measure of 200 degrees has a radius of 9 cm. What is the area of the sector?
Sergio [31]

Answer:

\boxed{Area\ of\ sector = 141.4\ cm^2}

Step-by-step explanation:

Radius = r = 9 cm

Angle = θ = 200° = 3.5 radians

Now,

Area \ of \ sector = \frac{1}{2} r^2 \theta

Area = 1/2 (9)²(3.5)

Area = 1/2 (81)(3.5)

Area = 282.7 / 2

Area of sector = 141.4 cm²

6 0
3 years ago
Read 2 more answers
suppose you toss 3 coins at one time. what is the probability that exactly two land with heads facing up?
mezya [45]

The probability of getting heads is 3/8.

<u>Probability:</u>

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

Since 3 is a small number, let's list out all possible combinations.

H represents a head while T represents a tail.

3 Heads

HHH

2 Heads

HHT

HTH

THH

1 Head

HTT

THT

TTH

0 Head

TTT

The answer is

3/1+3+3+1=3/8

                                            OR

In general, we will find that the list resembles a particular row of the pascal's triangle.

If you want to know the probability of getting r heads (or tails) from n flips, it is the sum of the rth  elements in the n + 1 line. All elements of the series n+1.

\left[\begin{array}{ccc}N\\\\R\end{array}\right]/ 2ⁿ = \frac{n!}{r! * (n - r)!* 2^{n} }

n this case,

N =3andR= 2

   3!/ 2!×1! × 2³

= 6/ 2× 1 × 8

= 3/8

Learn more about Probability:

brainly.com/question/11234923

#SPJ4

5 0
1 year ago
12 people can fit in a room that is 9 feet by 4 feet. How many people will fit in a room that is 6 yards by 6 yards
Luba_88 [7]

Answer:

Number of people fit in 6 feet by 6 feet room = 12 people

Step-by-step explanation:

Given:

Number of people fit in 9 feet by 4 feet room = 12 people

Find;

Number of people fit in 6 feet by 6 feet room

Computation:

Surface area of 9 feet by 4 feet room = 9 x 4

Surface area of 9 feet by 4 feet room = 36 feet²

So,

Surface area of 6 feet by 6 feet room = 6 x 6

Surface area of 6 feet by 6 feet room = 36 feet²

Surface area of both rooms are equal. so number of people are also equal

Number of people fit in 6 feet by 6 feet room = 12 people

8 0
3 years ago
paige's basketball team scored 28 points in their first game and 72 points in their second game. How many more points did they s
Free_Kalibri [48]
72-28=44
Paiges basketball team scored 44 more points in the second game than the first game
5 0
3 years ago
Help me on this math problem?
shusha [124]

Answer:

just add them

Step-by-step explanation:

4 0
3 years ago
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