Your line 4 should have "angle DEC" not "angle EDC". The order of the letters is important. I marked the two angles ABC and DEC in the attached image below. They are alternate interior angles. Because DE || AB, this means the alternate interior angles are congruent.
Since C is the midpoint of EB, this means BC = CE by the definition of the midpoint. Basically EB is cut into two halfs BC and CE which are the same length.
After you establish all of what is mentioned previously, you would use the AAS congruence theorem. AAS stands for Angle Angle Side. One pair of angles are the vertical angles (see line 2). Another pair of congruent angles is the alternate interior angles (line 4). The sides are not between the pairs of angles mentioned. Again check out the attached image for more visual information.
Finally, if we know the triangles are congruent, then the corresponding parts are congruent (CPCTC). That leads to the conclusion that DC = AC.
Edit: it's actually ASA and not AAS because the sides are between the two angles (I was thinking of another diagram earlier)
Answer:
100 square inches
Step-by-step explanation:
Area = Base x height
Given
Base = 10 inches and
Height = 10 inches
Area = 10 inches x 10 inches
= 100 square inches
As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)
<h3>How to determine the features of an angle set on Cartesian plane</h3>
Herein we find the locations of the three vertices of the figure, of which we must determine the lengths of the two sides of the angle and determine the value of the angle by trigonometry:
BA = 5, BC = 2
θ = tan⁻¹ (BA / BC)
θ = tan⁻¹ (5 / 2)
θ ≈ 68.199°
As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)
To learn more on acute angles: brainly.com/question/2761036
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Answer:
25.98units³
Step-by-step explanation:
Area of the triangular prism = Base Area * Height of the pyramid
A = BH/3
Get the area of the triangle
Area of the triangle = 1/2 Base * height
Base of the triangle = 5
height = √5²-2.5²
h = √25-6.25
h = √18.75
h = 4.33
Area of the triangle = 1/2 * 4.33 * 5
Area of the triangle = 10.82
Base area = 10.82
Get the area of the triangular pyramid
Area of the triangular pyramid = 10.82*7.2/3
Area of the triangular pyramid = 25.98units³
Hence the area triangular pyramid is 25.98units³
8 cm the answer is hope it helps good luck
