Answer:
12 1/4
Step-by-step explanation:
(7 + X) × 8 - 4 × X = 56
7 + X × 8 - 4 × X = 56
7 + 8X - 4 × X = 56
7 + 8X - 4X = 56
7 + 4X = 56
4X = 56 - 7
X = 49/4
X = 12 1/4
Answer:
distributive
Step-by-step explanation:
distributive
A + b + c = 180
a = 2b
b = c + 4
Substitute the b equation into the a equation
a = 2(c + 4)
a = 2c + 8
Substitute equations a and b into the first equation
2c + 8 + c + 4 + c = 180
4c = 168
c = 42
Find the other angles using c
b = 42 + 4
b = 46
a = 2(42) + 8
a = 92
Therefore angle a is 92 degrees, angle b is 46 degrees, and angle c is 42 degrees.
Step-by-step explanation:
it is not important that the triangle is right-angled.
but the distance between each pair of points is calculated via Pythagoras
c² = a² + b²
with c being the Hypotenuse (baseline opposite of the 90° angle) = distance between the end points, and a and b are the legs (= the x and y coordinate differences of the 2 end points) of the virtual right-angled triangles between each pair of points.
so,
AB² = (6 - -3)² + (-4 - -4)² = 9² + 0² = 81
AB = 9 ft
BC² = (6 - 6)² + (8 - -4)² = 0² + 12² = 144
BC = 12 ft
and now for AC, which is because of the special case of how the main triangle is placed and oriented, the same calculation as with Pythagoras for the main right-angled triangle. but I keep showing you the point distance calculation, because this is what you will need in the future for more general triangle or other shapes calculations :
AC² = (6 - -3)² + (8 - - 4)² = 9² + 12² = 81 + 144 = 225
AC = 15 ft
so, Nasir will need
9 + 12 + 15 = 36 ft
of fencing.