Given the perimeter of the parallelogram in the image below is 60, the <em>value of GH</em> will be: 23.
<em><u>Recall:</u></em>
- Perimeter of a parallelogram = 2(a + b), where a is the side length and b is the base length.
- Opposite sides of a parallelogram are equal.
Given the parallelogram as shown in the diagram below, where:
base (b) = EF = 5x + 18
side (a) = HE = 3x + 4
Perimeter = 60
<em>Plug in the values into the formula:</em>
60 = 2[(3x + 4) + (5x + 18)]
60 = 2[3x + 4 + 5x + 18]
60 = 2[8x + 22]
60 = 16x + 44
60 - 44 = 16x
16 = 16x
1 = x
x = 1
GH = EF = 5x + 18 (equal opposite sides of parallelogram)
GH = 5x + 18
GH = 5(1) + 18
GH = 23
Learn more about the perimeter of a parallelogram on:
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The simplest form is 5/6, an equivalent ratio is 20/24 and another is 30/36
Answer:

Step-by-step explanation:
Before we even begin it would be very helpful to draw out a simple layout of the circuit. Then we go ahead and apply kirchoffs second law(sum of voltages around a loop must be zero) on the circuit and we obtain the following differential equation,

where V is the electromotive force applied to the LR series circuit, Ldi/dt is the voltage drop across the inductor and Ri is the voltage drop across the resistor. we can re write the equation as,

Then we first solve for the homogeneous part given by,

we obtain,

This is only the solution to the homogeneous part, The final solution would be given by,

where c is some constant, we added this because the right side of the primary differential equation has a constant term given by V/R. We put this in the main differential equation and obtain the value of c as c=V/R by comparing the constants on both sides.if we put in our initial condition of i(0)=0, we obtain
, so the overall equation becomes,

where if we just plug in the values given in the question we obtain the answer given below,

Answer:
C. F.
Step-by-step explanation:
The vertex is the point at which the lines that define the angle's amplitude meet.
In this case, they meet in point F.
we know that
if the line segment KL is tangent to circle J at point K
then
KL is perpendicular to KJ
the triangle KJL is a right triangle
Applying the Pythagorean Theorem

we have

substitute the values

therefore
<u>the answer is the option B</u>
