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egoroff_w [7]
3 years ago
10

Decide whether or not it is possible for a triangle to have three angle measurements or three side lengths given. If it is possi

ble, then decide whether all such triangles are congruent.

Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Answer:

First one is not possible

Second one is possible, and would be an isocèles triangle

Third one is possible, would be scalene

Last one is not possible

Comment any further questions :)

Step-by-step explanation:

You might be interested in
If △PQR ≅ △STU, which of the following would be another way to write a congruence statement for the two triangles. △QPR ≅ △STU △
kykrilka [37]

Answer:

△QPR ≅ △TSU

Step-by-step explanation:Remember, they always look the same, so if △QPR ≅ △STU, it won't work because they are not identical anymore. For example, if you do △ABC ≅ △ABC, △BCA is not the exact same as △CAB. I hope this helps you!

7 0
4 years ago
If a parallelogram is a rhombus the diagonals are, similar, Collinear, congruent, or perpendicular
Elena L [17]
Okay the question is simple provided you understand what these 4 terms mean. I imagine that must be the sticking point here.

In the geometric sense, similarity means one thing scales to another. This doesn't make a huge amount of sense with regards to a single length. But if you have a triangle of lengths 3,4,5 and another of lengths 6,8,10, these are similar because it is all in the same proportion. The only difference is one is twice as large in the length sense.

Collinear means on the same line. Again this doesn't make a huge amount of sense in this context, usually we refer to points being collinear, for example (1,1), (2,2) and (3,3) are all on the same line y = x. In this context, it is saying that both diagonals are exactly the same line, which doesn't make sense.

Congruence, in the geometric sense, means the same. A 3,4,5 triangle can only be congruent to another 3,4,5 triangle. This then is saying that the lengths of the two diagonals are the same in a rhombus. This is indeed true, a property that can be proved using elementary vector geometry.

Finally we have perpendicularity, the property in two dimensions whereby two lines have an angle of 90 degrees between them. In fact only a very special rhombus will have this property, a square. Hence this isn't likely to be the answer to the question because it is not true for all rhombi.

The answer is congruent. I hope this helps :)
8 0
4 years ago
Gasoline was 2.869 per gallon one week and 2.989 per gallon the next. By how much did the price change
kramer
.12 hope this helps ._.
8 0
3 years ago
a piece of luggage sells for $225.00 it is on sale this week for $195.00 what is the percent decrease to the nearest whole perce
viktelen [127]

Answer: 13%

Step-by-step explanation:

Given : A piece of luggage sells for $225.00 it is on sale this week for $195.00 .

Decrease in price = $225.00-$195.00= $30.00

Formula to find the percent decrease :-

\dfrac{\text{Decrease in price}}{\text{Previous price}}\times100\\\\=\dfrac{30}{225}\times100=13.3333333333\approx13\%\ \ [\text{Rounded to the nearest whole percent.}]

Hence, the  percent decrease = 13%

6 0
3 years ago
An expirement consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Expr
ExtremeBDS [4]

Answer:

\dfrac{1}{12}

Step-by-step explanation:

Given:

Two fair number cubes i.e. two dice consisting the numbers 1, 2, 3, 4, 5, 6 on their faces and have equal probability of each number.

The dice are rolled.

To find:

Probability of getting the sum of two numbers as 4.

Solution:

First of all, let us have a look at the total possibilities when two dice are rolled:

([1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6])

These are total 36 possible outcomes.

For getting a sum as 4:

Possible number of favorable cases are 3 (as highlighted in BOLD in above)

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Required probability is:

\dfrac{3}{36} = \bold{\dfrac{1}{12}}

5 0
3 years ago
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