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
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
#SPJ2
The answer is C
Step-by-step explanation:
Answer:
there 14 away from each other
Step-by-step explanation:
Answer:
14
Have a nice day!!!!!!!! :-)
KA
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
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.
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.
#SPJ12