If the angle G is moved to a different spot in the circle the angle FGH and angle FEH in the cyclic quadrilateral will change to make it supplementary.
<h3>How to find angles of cyclic quadrilateral?</h3>
A cyclic quadrilateral is inscribed in a circle. It has all its vertices on the circumference of the circle.
Opposite angles in a cyclic quadrilateral are supplementary angles. That means they add up to 180 degrees.
Therefore,
∠F + ∠H = 180°
∠G + ∠E = 180°
Hence, if we moved ∠G to a different spot on the circle, angle FGH would change but angle FEH will also change to make the two opposite angles supplementary.
Therefore, Felix was wrong.
learn more on cyclic quadrilateral here: brainly.com/question/21208662
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You can't cheat you can't ask someone for help and ask for answers ;-;
Answer:
- Architect - $83000
- Lawyer - $128000
Step-by-step explanation:
- Salary of a lawyer = l
- Salary of an architect = a
<u>According to the question we have:</u>
- l = 2a - 38000
- l + a = 211000
<u>Substitute l into the second equation and solve for a:</u>
- 2a - 38000 + a = 211000
- 3a = 211000 + 38000
- 3a = 249000
- a = 249000/3
- a = 83000
<u>Find the value of l:</u>
- l = 211000 - 83000
- l = 128000
The value of x when the triangle and the parallelogram have the same area is 6 units
<h3>The dimensions</h3>
The dimension of the parallelogram is given as:
The dimension of the triangle is given as:
<h3>Areas</h3>
The area of a shape is the amount of space it occupies
The area of the parallelogram is calculated as:
The area of the triangle is calculated as:
Both areas are equal.
So, we have:
Divide both sides by x
Subtract 4 from both sides
Hence, the value of x is 6 units
Read more about areas at:
brainly.com/question/2126265
