Si n es un número impar,¿ cual de las siguientes opciones representa un numero par? a) 2n +1 b) n(n+2) c) n+(n-1) e) 2(n+1)

Answers

Answer 1
Answer:

Answer: e) 2(n+1)

Step-by-step explanation:

De las opcionas dadas, e) 2(n+1) es la correcta.

Empecemos por explicar la siguiente regla:

(número par)(número par)=número par

(número par)(número impar)=número par

(número impar)(número impar)=número impar

Ahora bien, en la expresión  2(n+1) el resultado de lo que se encuentra dentro del paréntesis va a ser multiplicado por 2, el cual es un número par, por lo tanto el resultado final va a ser un número par independientemente de si lo que está en el paréntesis es par o impar.

Por ejemplo, si elegimos 1 que es impar:

2(1+1)=2(2)=4

El resultado es par.

Si probamos con las otras opciones, los resultados serán impares:

a) 2n +1

2(1)+1=2+1=3 impar

b) n(n+2)

1(1+2)=1(3)=3 impar

c) n+(n-1)

1+(1-1)=1+0=1 impar


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Find the volume of the prism. Round to the nearest tenth if necessary.

Answers

The volume of a prism = the area of the base × the prism's height
V=Bh

Our base is a triangle, which has this area formula:
The area of a triangle = 1/2 × the triangle's base × the triangle's height
A=\frac12bh

Let's plug in 6 for the base of our triangle and 5.2 for its height.
A=\frac12*6*5.2
Crunch some numbers...
A=15.6

Now that we know the area of the base, let's find the volume of our prism.
V=Bh
Let's plug in 15.6 for the area of the base and 9 for the height of the prism.
V=15.6*9
Crunch some more numbers...
V=140.4
Remember to add your units!

\boxed{V=140.4\ m^3}

How are the two angles related

Answers

THEY ARE BOTH ANGLES

Which pair of triangles can be proven congruent by the HL theorem​

Answers

The pair of given triangles which satisfied the HL theorem of congruency is given by option C. Both right triangles with hypotenuse and one corresponding leg congruent.

HL theorem also named as Hypothenuse Leg theorem,

It states hypotenuse and any one leg of one right angled triangle is congruent to hypotenuse and corresponding leg of another right angled triangle.

This implies both the triangles are congruent using HL theorem.

To check which pair of triangles are congruent using HL theorem are as follow,

a. In the first pair of right angled triangles only hypotenuse is marked as congruent side of two different triangles.

So it is not true.

b. In the second pair of triangles,

Both the triangles are obtuse angled triangle.

It does not satisfied HL theorem.

So , it is also not true.

c. In the third pair of the right angled triangle,

Hypotenuse of both the triangle are marked congruent.

One of the corresponding leg is also congruent.

It satisfied the HL theorem.

And both the triangles are congruent to each other using HL theorem.

Option C. is true.

d. IN fourth pair of triangles,

Triangles are not right angled triangle.

It satisfied the SSS (Side -Side- Side) congruency theorem.

It is not a correct option for HL theorem.

Therefore, pair of triangles which satisfied the HL theorem of congruency is option C. Both right triangles.

Learn more about triangles here

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The answer is C

Step-by-step explanation:

6.53 + 1.4 / (0.7 + 0.1). ( / - this is a division sign just incase you dont know)

Answers

aright i figured it out:)
step one we need to remember PEMDAS
P :  (parentheses)
E : exponents ³
M : multiplication x 
D : division ÷
A : addition +
S : subtraction - 
i always remembered this by using this one sentence 
"P"lease "E"xcuse "M"y "D"ear "A"unt "S"ally
but that's a different topic;) lets solve our problem 
6.53 + 1.4 ÷ (0.7 + 0.1)
well lets follow along with out PEMDAS and first i see parentheses as our first step. So lets solve what we have within our Parentheses. 
0.7 + 0.1 = 0.8 now lets plug in what we have 
6.53 + 1.4 ÷ 0.8  now i see another step we can do here and thats division
1.4 ÷ 0.8 = 1.75 now lets plug in what we finally have 
6.53 + 1.75 = 8.28
answer? 8.28
if this was helpful
then don't forget too
MARK ME BRAINLIEST! :D
6.53+1.4/(0.7+0.1)=6.53 + 1.4/.8=6.53 + 1.75=8.28

Answer: 6.53+1.4/(0.7+0.1)=8.28

What is the relationship between 7 and -7

Answers

Answer:

there 14 away from each other

Step-by-step explanation:

Answer:

14

Have a nice day!!!!!!!! :-)

KA

A cyclist rides her bike at a rate of 15 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 3 hours? In yourcomputations, assume that I mile is equal to 1.6 kilometers. Do not round your answers.

Answers

Answer:

The cyclist will have traveled 72 kilometers with-in 3 hours.

Step-by-step explanation:

1 mile (s) = 1.60934 kilometer(s)

15 miles = 24.1402// 24 kilometers

by 3 hours:

45 miles = 72/72.4205 kilometers

Final answer:

To convert the rate from miles per hour to kilometers per hour, multiply by 1.6. The cyclist will travel 72 kilometers in 3 hours.

Explanation:

To convert the rate from miles per hour to kilometers per hour, we multiply by the conversion factor. In this case, we multiply 15 miles per hour by 1.6 kilometers per mile to get 24 kilometers per hour. To find the distance traveled in 3 hours, we multiply the speed by the time. In this case, 24 kilometers per hour multiplied by 3 hours gives us 72 kilometers.

Learn more about Converting rates from miles per hour to kilometers per hour here:

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