Answer:
Unit cost: $2.50 per potato
Step-by-step explanation:
Set up a proportion:
<h2><u>5 potatoes</u> = <u>x potatoes</u></h2><h2>2 dollars 1 dollar</h2><h2 />
cross multiply:
2x = 5
divide by 2 on both sides
x= 5/2 or 2.5
The answer is (A) because the (quantity of a number minus nine) implies that x-9 is inside parenthesis.
- Angle 1 is congruent to angle 2, since BD bisects <ABC and the two angles created on each side of the bisector at point B are equal.
- <2 ≅ <3 because of the corresponding angles theorem.
- <1 ≅ <4 because alternate angles are congruent if two parallel lines are cut by a transversal.
- <3 ≅ <4 by the substitution property of equality.
- AD/CD = EB/CB by the triangle proportionality theorem.
- If two angles in a triangle are congruent, the sides opposite the angles are congruent, so AE = EB.
- AD/CD = AB/CB by the substitution property of equality.
<h3>The properties of similar triangles.</h3>
In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
<h3>What is the substitution property of equality?</h3>
The substitution property of equality states that assuming x, y, and z are three (3) quantities, and if x is equal to y (x = y) based on a rule and y is equal to z (y = z) by the same rule, then, x and z (x = y) are equal to each other by the same rule.
In this context, we can reasonably infer and logically deduce that the ratio of AD/CD is equal to AB/CB based on the substitution property of equality.
Read more on substitution property here: brainly.com/question/2459140
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Complete Question:
In ΔABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction, you are given that BD bisects <ABC.
Prove: AD/CD = AB/CB.
Complete the paragraph proof.