Answer:
First, a rational number is defined as the quotient between two integer numbers, such that:
N = a/b
where a and b are integers.
Now, the axiom that we need to use is:
"The integers are closed under the multiplication".
this says that if we have two integers, x and y, their product is also an integer:
if x, y ∈ Z ⇒ x*y ∈ Z
So, if now we have two rational numbers:
a/b and c/d
where a, b, c, and d ∈ Z
then the product of those two can be written as:
(a/b)*(c/d) = (a*c)/(b*d)
And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:
(a*c)/(b*d)
is the quotient between two integers, then this is a rational number.
Given the triangles ABC and PQR.
Angle A = Angle P
Angle B = Angle Q
Angle C = Angle R
Angle B = 3v+4
Angle Q = 8v-6
Let's find v
3v+4 = 8v-6
-5v = -10
v = 2
Angle B = 3v + 4
Angle B = 3(2) + 4
Angle B = 10.
The correct answer is letter C. 10
Answer:
-8 km
Step-by-step explanation:
Answer:
1. 0.5
2. 0.25
3. 0.33333...
4. 0.2
5. 0.75
6. 0.666...
7. 0.4
8. 0.375
9. 0.444...
10. 0.28571428571429
Step-by-step explanation:
Answer:
The three consecutive even integers are 4,6,8
Step-by-step explanation:
Let the three consecutive even integers be 2x, 2x+2, 2x + 4
Middle number = 2x +2
2x + 2x+2 + 2x + 4 = 4* (2x+2) - 6
6x + 6 = 4*2x + 4*2 - 6
6x + 6 = 8x + 8 -6
6x + 6 = 8x + 2
6x - 8x = 2 -6
-2x = -4
x = -4/-2
x = 2
The three consecutive even integers are
2x = 2*2 = 4
2x+2 = 2*2 +2 =4 + 2 = 6
2x + 4 = 2*2+4 = 4+4 = 8
