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Citrus2011 [14]
3 years ago
10

16/5 divided by 5 equals?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0
16 divided by 5 equals 3.2
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Identify the two triangle congruence criteria that do NOT guarantee congruence. Explain why they do not guarantee congruence, an
Mashcka [7]

Answer: Hello mate!

there are two congruence criteria that do not guarantee congruence:

AAA ( or 3 angles)

two triangles can have the same 3 angles, but different size, then they are not congruent; an example of this is:

take the triangle rectangle of both cathetus = 1 and hypotenuse = √2, where the angles are 90°, 45° and 45°

and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

If two triangles satisfy the SSA  criteria and the corresponding angles are acute and the length of the side opposite to the angle is greater than the length of the adjacent side multiplied by the sine of the angle (but less than the length of the adjacent side), then the two triangles are not necessarily congruent.

This is kinda harder to illustrate;  

think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

Those two triangles meet the SSA criteria but are not congruent.

7 0
3 years ago
Which expression is a linear factor of x6 +x-66?
Naddik [55]

Answer:

Option D.

Step-by-step explanation:

The given expression is

x^6+x-66

It is a polynomial.

(x-c) is a linear factor of polynomial p(x) if p(c)=0.

Substitute x=-1 in the given expression.

(1)^6+(1)-66=-64\neq 0

It means (x+1) is not a linear factor of given expression.

Substitute x=-2 in the given expression.

(-2)^6+(-2)-66=-4\neq 0

It means (x+2) is not a linear factor of given expression.

Substitute x=-4 in the given expression.

(-4)^6+(-4)-66=4026\neq 0

It means (x+4) is not a linear factor of given expression.

None of the given options are a linear factor of given expression.

Therefore, the correct option is D.

7 0
3 years ago
Read 2 more answers
Hans corrio 3 millas en la pista hizo un descanso y luego corio 4/5 de milla mas. Escribe el numero de millas que corrio hans co
givi [52]

Answer:

19/5

Step-by-step explanation:

Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.

Para hacer esto, agregamos todas las millas recorridas.

Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.

La fracción impropia es así (5 * 3) + 4/5 = 19/5

8 0
3 years ago
What is the probability of randomly selecting a day of the week and not getting Monday?
mrs_skeptik [129]

Days in a week n(S)=7

DAYS to not getting monday n(M)=6

probability P(M)=n(M)/n(S)

=6/7(ans)

6 0
3 years ago
Hello! Anyone able to help me with question 3 + explanation too? Thanks!
taurus [48]

Answer:

2 or 12

Step-by-step explanation:

The answer that we will use this equation 1/t1 +1/t2=1/ttotal

where t1 is the time of smaller pipe while t2 is the of the larger pipe

Given t total =4 while t2 is equal to t2=t1-6

So know you can solve the problem by changing it into (2t1-6)/(t1*(t1-6))=1/4

8( t1-3)=(t1^2-6t1)

t1^2-14t1+24=0

t1=2 or 12

5 0
3 years ago
Read 2 more answers
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