which of the following lengths of lines would be used to create a right triangle 6,9,12 5,12,13 4,8,16 7,15,19.7
1 answer:
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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
Read more about quadrilaterals at:
#SPJ1
Answer:
(0, - 4 )
Step-by-step explanation:
Given f(x) = g(x), then
- 2 = - 2
( divide both sides by - 2 )
=
Square both sides
3x + 4 = x + 4 ( subtract x from both sides )
2x + 4 = 4 ( subtract 4 from both sides )
2x = 0 ⇒ x = 0
Substitute x = 0 into either of the 2 functions to find y
g( 0 ) = - 2 = - 2
= - 2 × 2 = - 4
Solution is (0, - 4 )