In the diagram, ABCDE is a regular pentagon.
1 answer:
The shape ABCDE is a regular pentagon with five sides, such that the five sides are congruent
<h3>Part A: Calculate ∠BAE</h3>The angle BAE is a vertex angle, and it is calculated using:
BAE = 180 * (n - 2)/n
Where n= 5; i.e. the number of sides.
This gives:
BAE = 180 * (5 - 2)/5
Evaluate
BAE = 108°
Hence, the measure of angle BAE is 108°
<h3>Part B: The name of the quadrilateral ABCD</h3>When the vertices A and B are joined together, the shape becomes a trapezoid.
Hence, the name of the quadrilateral ABCD is a trapezoid.
<h3>Part C (i) Calculate ∠EDX</h3>See attachment for the new figure.
From the attached figure, we have:
∠EDX + ∠EDC = 180° ---- the sum of angles on a straight line
Where:
∠EDC = ∠BAE = 108°
So, we have:
∠EDX + 108° = 180°
Subtract 108° from both sides
∠EDX = 72°
Hence, the measure of angle EDX is 72 degrees
<h3>Part C (ii) What type of quadrilateral is BDXE?</h3>The quadrilateral BDXE is a parallelogram.
This is so because the opposite sides of BDXE are parallel, but not congruent
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Answer:
Like terms:
1.25x²
-8x²
Step-by-step explanation:
Like terms are terms that have the same variable to the same exponent. In this case, the only like terms are those with the variable 'x' to the exponent of '2', or x². This would include the terms:
1.25x²
-8x²
The term 5yx², also includes x², however, it also includes the variable 'y' which makes it 'unlike' the other terms.