A conjecture and the two-column proof used to prove the conjecture are shown. Given: segment A B is congruent to segment B D, se
gment B D is congruent to segment C E, and segment C E is congruent to segment A C. Prove: triangle A B C is an isosceles triangle. Segment A D with endpoints D and A moving from left to right. Segment A D is diagonally down to the left from point A. B is the midpoint of segment A D. Segment A E shares endpoint at point A with segment A D. Segment A E is diagonally down to the right from point A. C is the midpoint of segment A E. Segment B C is horizontal between segment A D and segment A E. Drag an expression or phrase to each box to complete the proof. Statement Reason 1. AB¯¯¯¯¯≅BD¯¯¯¯¯ Given 2. BD¯¯¯¯¯≅CE¯¯¯¯¯ Given 3. Transitive Property of Congruence 4. Given 5. AB¯¯¯¯¯≅AC¯¯¯¯¯ 6. △ABC is an isosceles triangle.
2 answers:
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Answer:
Step-by-step explanation:
Given that:
Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.
The angle of depression is unknown.
Distance of the point at sea surface from the base of lighthouse is 865 ft.
This situation can be modeled or can be represented as the figure attached in the answer area.
The situation can be represented by a right angled in which we are given the base and the height of the triangle.
And we have to find the value of (Because they are the internal vertically opposite angles).
Using tangent ratio:
Therefore, the angle of depression is:
Answer:
option C.
Yes, the water tank is about 245 cubic feet too small
Step-by-step explanation:
step 1
Determine the volume of the cylindrical tank
we know that
The volume of a cylinder is equal to
Remember that
we have
assume
substitute
Compare with 251 cubic feet
therefore
Yes, the water tank is about 245 cubic feet too small