Answer:
<h2>x = 1 - 4i or x = 1 + 4i</h2>
Step-by-step explanation:
Answer:
x = 5
Step-by-step explanation:
Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:
m<ABD = m<CBD. Therefore:
2(m<ABD) = m<ABC
Substitute:
2(2x + 12) = 44
Solve for x.
4x + 24 = 44 (distributive property)
4x + 24 - 24 = 44 - 24 (substraction property of equality)
4x = 20
4x/4 = 20/4 (division property of equality)
x = 5
The 4x's get eliminated because they are opposite. So just add 10+15= 25
The area of the rectangle that has a perimeter of 44 in is calculated as: 117 in².
<h3>What is the Area and Perimeter of a Rectangle?</h3>
Area = length × width
Perimeter = 2(length + width).
Given the following:
- Width = w in.
- Length = w + 4 in
- Perimeter of the rectangle = 44 in.
Therefore:
2(w + 4 + w) = 44
Solve for w
2(2w + 4) = 44
4w + 8 = 44
4w = 44 - 8
4w = 36
w = 9
Width of the rectangle = w = 9 in.
Length = w + 4 = 9 + 4 = 13 in.
Area of the rectangle = 13 × 9 = 117 in².
Learn more about the area of rectangle on:
brainly.com/question/2607596
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Seven hundred ten thousand and seven hundred eighteen
Hope I helped:)
