A stack of six bricks is two feet high. Use that information to answer the questions below. How high is a stack of 20 bricks?
1 answer:
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Answer:
(Angle DBE) ∠DBE = 50°
Step-by-step explanation:
It is crucial for us to be able to interpret plane geometry related question in order to solve them efficiently.
From the question given; we have analysed and come up with a diagrammatic expression and mathematical solution that clearly explains the question .
Given that
BC and DF are parallel lines.
B is a point on AD
B is a point on AD
BD=BE
work out angle DBE and give a reason.
The diagram can be seen in the attached image below.
SInce ∠BD = ∠DE
Then triangle BDE is an isosceles triangle. In an isosceles triangle ; two sides are equal in length.
The sum of angles in an isosceles triangle = 180° (sum of angles in a triangle)
So;
∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)
From the diagram; we will see that ∠ABC = ∠BDE (corresponding angle)
Since ; ∠ABC is not given and which is needed to solve this question.
Let's just assume that ∠ABC is 65° , the main thing is to be able to interpret and understand the concept of the question.
Now;
Since
∠ABC = ∠BDE
∠ABC = 65°
∠BDE = 65°
Again;
∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)
∠BDE will be aso equal to ∠BED ; this is because since the length of the opposite sides of the isosceles triangle are equal, their angles will also be equal.
Therefore;
65° + 65° + ∠DBE = 180° (sum of angles in a triangle)
130 ° + ∠DBE = 180° (sum of angles in a triangle)
∠DBE = 180° - 130°
∠DBE = 50°
Explanation
We must the tangent line at x = 3 of the function:
The tangent line is given by:
Where:
• m is the slope of the tangent line of f(x) at x = h,
,• k = f(h) is the value of the function at x = h.
In this case, we have h = 3.
1) First, we compute the derivative of f(x):
2) By evaluating the result of f'(x) at x = h = 3, we get:
3) The value of k is:
4) Replacing the values of m, h and k in the general equation of the tangent line, we get:
Plotting the function f(x) and the tangent line we verify that our result is correct:
AnswerThe equation of the tangent line to f(x) and x = 3 is: