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nexus9112 [7]
4 years ago
14

How to determine how many triangle are possible for ssa triangles?

Mathematics
1 answer:
Tasya [4]4 years ago
5 0
There are three possible cases:

A) No triangles are able to be formed
B) Exactly one triangle can be formed
C) Exactly two triangles can be formed

Because of this, you cannot use SSA to prove triangle congruence.
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). If a, ß are zeroes of the quadratic polynomial p(x)=kx²+4x+4 such
natta225 [31]

Answer:

The values of k are 2/3 and -1

Step-by-step explanation:

Product of zeros = αβ= constant  / coefficient of x^2 =  4/k

Sum of zeros =α+β = - coefficient of x / coefficient of x^2= -4/k

Given

Consider a= α and b= β

(\alpha)^2 + (\beta)^2 = 24

(\alpha)^2 + (\beta)^2 can be written as (\alpha)^2 + 2(\alpha)(\beta) + (\beta)^2 if we add \pm 2 (\alpha)(\beta) in the above equation.

(\alpha)^2 + 2(\alpha)(\beta) + (\beta)^2 -2(\alpha)(\beta)

(\alpha + \beta)^2 -2(\alpha)(\beta)

Putting values of αβ and α+β

(\frac {-4}{k})^2 -2( \frac {4}{k}) = 24\\\frac {16}{k^2} - \frac {8}{k} = 24\\Multiplying\,\, the \,\, equation\,\, with\,\, 8K^2\\ 2 - k= 3K^2\\3k^2-2+k=0\\or\\3k^2+k-2=0\\3k^2+3k-2k-2=0\\3k(k+1)-2(k+1)=0\\(3k-2)(k+1)=0\\3k-2=0 \,\,and\,\, k+1 =0\\k= 2/3 \,\,and\,\, k=-1

The values of k are 2/3 and -1

8 0
4 years ago
Helen has 21 marbles. 2/7 of them are blue,1/3 are red and the rest are green. how many green marbles does Helen have?
andreyandreev [35.5K]

Answer:

8

Step-by-step explanation:

2/7 of 21 is 6 1/3 of 21 is 7. 6+7 is 13. 21-13 = 8

6 0
3 years ago
If events A and B are independent, what must be true?
Oliga [24]

Answer:

its A

Step-by-step explanation:

3 0
4 years ago
In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects angle BAC, and let the perpendicular bis
ziro4ka [17]

The area of Triangle ACE from the given diagram is; 150 sq.units

<h3>What is the area of the triangle?</h3>

We are given;

AB = 44

AC = 30

ME = 10

Now, to find the area of triangle ACE, we need to know the length KE where K is the midpoint of AC.

Now, since AD bisects angle BAC. This means that ∠KEA = ∠MEA.

By ASA Congruence Postulate, we can say that; ΔAEK ≅ AEM

Thus, we can say that KE = ME = 10

Formula for area of triangle is;

A = ¹/₂ * base * height

where;

base = AC = 30

Height = KE = 10

Thus;

A =  ¹/₂ * 30 * 10

A = 150

Read more about area of the triangle at; brainly.com/question/17335144

7 0
3 years ago
Manny grows vegetables in a community garden.
kodGreya [7K]

Answer:

32 yards (squared)

Step-by-step explanation:

Length x width = area (LxW=A)

Step 1:

Length = 6 yards

Width = 5 1/3 yards

Step 2:

Multiply 6 x 5 1/3 because 6 is the length, 5 1/3 is the width, and LxW=A.

6 x 5 1/3 = 32 yards (squared)

8 0
3 years ago
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