If points A, D and C lie on a straight line, then angles ∠ADB and ∠BDC are supplementary angles and
.
1. If you move point B right from the initial position, then m∠ADB increases and m∠BDC decreases, but
.
2. If you move point B left from the initial position, then m∠ADB decreases and m∠BDC increases, but
.
3. When point B lie on the line ADC, then:
a. Point B lies on the right hand from point D:
;
b. Point B lies on the left hand from point D:
.
4. When point B is reflected about the line ADC situation is the same as in parts 1 and 2.
Conclusion: .
The area of the new rectangle bound by the path of the bug is 281.99 cm²
First step is to calculate the length of the new triangle
Length=9.5cm+3.9 cm+3.9 cm
Length=17.3 cm
Second step is to calculate the width of the new triangle
Width=8.5 cm+3.9 cm+3.9 cm
Width=16.3 cm
Now let calculate the Area using this formula
Area=Length× Width
Where:
Length=17.3cm
Width=16.3cm
Let plug in the formula
Area=17.3cm×16.3cm
Area=281.99 cm²
Inconclusion The area of the new rectangle bound by the path of the bug is 281.99 cm².
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That is the answer. you can't simplify it.
Answer:
64
Step-by-step explanation:
Let x = smallest one
x + x+1 + x+2 + x+3 +x+4 = 330
5x + 10 = 330
5x = 320
x = 64