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-Dominant- [34]
3 years ago
10

If two triangles have three corresponding angles and three corresponding sides that are equal in measure, are the two triangles

necessarily congruent? Why?
Mathematics
2 answers:
nikitadnepr [17]3 years ago
6 0
Yes, they are.

If the triangles have three corresponding angles equal means that they are either similar or congruent.

The definition of congruent means that the sides have the same length. That is precisely what the statement says.

So, being the lengths of the corresponding angles the same the two triangles are identical, this is they are congruent.
nekit [7.7K]3 years ago
3 0

Answer:

The two triangles are congruent because they have three corresponding angles.

Step-by-step explanation:

Thats what i wrote on plato:)))

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Licemer1 [7]

Answer:

Given that,

Height of dougal is 1.84 meters and height of seb is 1.7 meters. We need to find the height of dougal as a fraction of the height of seb.

Let x is height of dougal as a fraction of the height of seb. So,

If we divide 1.7 on both sides of above equation, then,

On removing decimal, we get,

Hence, this is the required solution.

Step-by-step explanation:

Hi,, i saw this answer here in brainly because i had this one too so i hope this one helps

7 0
3 years ago
Solve the following proportion (solve p) p/6=7/8
oee [108]

Answer is: p = \frac{21}{4}


3 0
3 years ago
19.) Here's the data (sorted) of the ages of 91 women who won the Oscar for Best Actress in a Leading Role:
exis [7]

Step-by-step explanation:

The five number summary includes the mean, the median, the mode, the range, and the interquartile range.

1) Mean = The sum of all observations / number of observations.

Mean = (21 + 22 + 22 + 24 + 24 + 24 + 24 + 25 + 26 + 26 + 26 + 26 + 26 + 26 + 26 + 26 + 26 + 27 + 27 + 27 + 27 + 28 + 28 + 28 + 28 + 29 + 29 + 29 + 29 + 29 + 30 + 30 + 30 + 30 + 30 + 30 + 31 + 31 + 31 + 32 + 32 + 33 + 33 + 33 + 33 + 33 + 33 + 33 + 34 + 34 + 34 + 34 + 34 + 35 + 35 + 35 + 35 + 35 + 37 + 37 + 37 + 37 + 38 + 38 + 38 + 39 + 39 + 39 + 41 + 41 + 41 + 41 + 42 + 42 + 44 + 45 + 45 + 45 + 47 + 49 + 49 + 54 + 60 + 60 + 61 + 61 + 61 + 62 + 62 + 74 + 81)/91.

Mean = 3285/91

Mean = 36 (round to the nearest whole number).

2) Median = The central point of the data.

91 divided by 2 gives 45.5, which means 45th number will be the median of this data set. So, Median = 33.

3) Mode = The mostly repeated observation of the data.

Mode = 26 (repeated 9 times).

4) Range = Largest observation - Smallest observation

Range = 81 - 21 = 60.

5) Interquartile Range = Upper Quartile - Lower Quartile.

Upper Quartile is the data point at the 75% position of the data.

Lower Quartile is the data point at the 25% position of the data.

Upper Quartile position = 91*0.75 = 68.25 (68th position).

So that observation is 39.

Lower Quartile position = 91*0.25 = 22.75 (22nd position).

So that observation is 28.

Therefore, interquartile range = 39 - 28 = 11!!!

6 0
3 years ago
A teacher's salary is modeled by the equation
harkovskaia [24]

Answer:

A. $54,550.84

Step-by-step explanation:

48,000(1.0325)^4

48,000(1.136475928)

54,550.84455

3 0
3 years ago
Given f(x)=3x^2+5 and g(x)=x−2 . What is (fg)(x) ? 3x^2−x+7 3x^3−6x2+5x−10 −3x^2+x−7 3x^3−10
wolverine [178]

For this case we have that by definition:

(fg) (x) = f (x) * g (x)

So:

(fg) (x) = (3x ^ 2 + 5) (x-2)

We apply distributive property that states that:

(a + b) (c + d) = ac + ad + bc + bd

In addition, we take into account that:

+ * - = -

(fg) (x) = 3x ^ 3-6x ^ 2 + 5x-10

Answer:

3x ^ 3-6x ^ 2 + 5x-10

Option B

6 0
3 years ago
Read 2 more answers
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