Answer:
x = 4
Step-by-step explanation:
This is special right triangles
For the triangle on the bottom, the shorter leg is x, the longer leg is x * √3, and the hypotenuse is x *2. This means that the shorter leg is 2 since you the longer leg is that side multiplied by √3. The hypotenuse is x *2, which is 2 * 2 which equals 4.
Now we have one side of the bigger triangle. This triangle is a 45-45-90 triangle, and the rule is that the two legs are x, and the hypotenuse is x *2. Since we found a leg and not the hypotenuse of the bigger triangle, and the two legs are congruent, that means x is 4.
14n-8 is how you find the answer, and the next term is 62
16 + 1/3x = 3x
16 = 3x - 1/3x
16 = 9/3 x - 1/3 x
16 = (<span>9 x - 1 x)/3
</span>16(3) = 8x
48 = 8x
x = 6
Answer:
<em>(7, -4)</em>
Step-by-step explanation:
The formula for calculating midpoint is expressed as;
M(X, Y) = (x2+x1)/2, (y1+y2)/2
X = x1+x2/2
Y = y1+y2/2
Given
X = 5, Y = 1, x1 = 3, y1 = 6
Get x2
X = x1+x2/2
5 = 3+x2/2
10 = 3+x2
x2 = 10-3
x2 = 7
Get y2;
Y = y1+y2/2
1 = 6+y2/2
2 = 6+y2
y2 = 2-6
y2 = -4
<em>Hence the coordinate of B is at (7, -4)</em>