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Damm [24]
3 years ago
10

Which conjecture is possible to prove is congruent? A. All quadrilaterals with 4 equal angles B. All triangles with 3 equal angl

es C. All quadrilaterals with 4 equal sides D. All triangles with 3 equal sides
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:  D. All triangles with 3 equal sides

Step-by-step explanation:

Remember, congruence means that the sides are equal and also the corresponding angles:

A) Quadrilaterals with 4 equal angles.

Here we can have, for example, a lot of different rectangles and squares, because all of them have only 45° angles, but a square is not congruent with a rectangle, so this option is not correct.

B) Triangles with 3 equal angles.

Think in the triangles, the 3 angles are 60°,

But we can craft this angle with a lot of different side lengths, so this is not the correct option, so not all the triangles with equal angles are congruent, then this option is incorrect.

C) Quadrilaterals with 4 equal sides: Here we can have a square, or a rhombus, or a parallelogram, so this option is also incorrect.

D) Triangles with 3 equal sides:

Now, we have the set of all the triangles where the length of the 3 sides is the same.

Now, if you have 3 knowed lenghts (the ones shared by the set of triangles) you can only create one triangle with them, this is known as the SSS criterion of congruence for triangles. This is the correct option.

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Solve: |x+2|−1≥5. Write your solution in interval notation.
AlekseyPX

nswer:

Step-by-step explanat

|x+2| - 1 ≥ 5

  |x+2|  ≥ 5+1

 |x+2|  ≥ 6

 x+2 ≥ 6 hoặc x+2 ≤ -6

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+ với x+2 ≤ -6  x ≤ -6 – 2  x ≤ -8

(-∝;-8)∪(4;+∝)

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3 years ago
PLEASE HELP ON THIS, Find the area of the shape shown below.
aivan3 [116]
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.5(1+6)(12)
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3 years ago
Read 2 more answers
How much is 80% from 250.00
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If you need further help on how they got the answer, this equation will take more time, but it will also help you understand these types of problems. Part÷Whole=Percent÷100
Part= X because it is what you are trying to find.
Whole=250 because it is what you are taking the percentage of.
Percent=80
Now you have:
X÷250=80÷100
Set this up in fraction form and cross multiply.
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3 0
3 years ago
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The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the proba
Olegator [25]

Answer:

The probability that occurrence of 8 in ten minutes is 0.0771.

Step-by-step explanation:

Poisson Distribution:

A discrete random variable X having the enumerable set {0,1,2,.....} as the spectrum, is said to have Poisson distribution with parameter \mu (>0), if the p.m.f is given by

P(X=x)=\frac{e^{-mu}\mu^x}{x!}  for x=0,1,2,...

               = 0,           elsewhere

The mean number of occurrences in ten minutes is 5.3.

Here \mu = 5.3 and x= 8

P(X=8)=\frac{e^{-5.3}(5.3)^8}{8!}

               =0.0771

The probability that occurrence of 8 in ten minutes is 0.0771.

3 0
3 years ago
Cobalt-56 has a decay constant of 8.77 × 10-3 (which is equivalent to a half life of 79 days). How many days will it take for a
sweet-ann [11.9K]
As I read this one, is just a decay exponential equation... so

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so, for the sake of comparing it with a percentage, 1 will do

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\\\\\\
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\\\\\\
\cfrac{ln(0.62)}{ln(0.99123)}=t
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