Answer:
13
Step-by-step explanation:
If ABC is equilaterteral then all the angles must be equal and 60°
8x - 44 = 60 add 44 to both sides
8x = 104 divide both sides by 8
x = 13
Answer:
x
=
13
+
6
=
19
Step-by-step explanation:
this is so simple
Answer:
x = 6, y = 9
Step-by-step explanation:
One of the properties of a parallelogram is
The diagonals bisect each other, hence
2x = y + 3 → (1)
2y = 3x → (2)
Rearrange (1) in terms of y by subtracting 3 from both sides
y = 2x - 3 → (3)
Substitute y = 2x - 3 into (2)
2(2x - 3) = 3x ← distribute left side
4x - 6 = 3x ( add 6 to both sides )
4x = 3x + 6 ( subtract 3x from both sides )
x = 6
Substitute x = 6 into (3) for value of y
y = (2 × 6) - 3 = 12 - 3 = 9
Hence x = 6 and y = 9
Y=-8 so any x with the coordinate -8 for y i guess.
<u>We are given:</u>
An even number 'n', multiplied by the next consecutive even number is 168
<u>Solving for n:</u>
From the given statement, we can say that:
n(n+2) = 168 [<em>n multiplied by the next even number 'n+2'</em>]
n² + 2n = 168
n² + 2n - 168 = 0 [<em>subtracting 168 from both sides</em>]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 <em>[factoring out common terms</em>]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
