Answer:
$74.8
Step-by-step explanation:
step 1: apply the discount to the price
12% = .12
$79.97 X .12 = $9.5964
$79.97 - $9.5964 = $70.3736
step 2: apply tax
$70.3736 X .0625 = $4.39835
$70.3736 + $4.39835 = $74.77195
step3: round
$74.8
- 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.
If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).
<h3>What is a rectangle?</h3>
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.
Then the length of the rectangle will be
area = length × width
Then we have
Area = 45x² − 42x − 48
Then the factor of the polynomial will be
Area = (5x − 8)(3x + 2)
Then the length of the rectangle will be (3x + 2).
More about the rectangle link is given below.
brainly.com/question/10046743
I think 20×5=100 then 100÷2
<u><em>This would be k < 50.</em></u>
This inequality states that k, the price at which Nita wants to buy the new keyboard, is less than 50 dollars.