Answer:
x=13
Step-by-step explanation:
vertical opposite angles are equal.
If you are trying to figure out the distance between the top of the tree and the end of the shadow, use a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the legs of the right triangle.
5^2 + 4^2 = c^2
25 + 16 = c^2
41 = c^2
c = √41 = 6.4 meters
The measure of CB from the given figure is 8cm
<h3>What is a triangle?</h3>
A triangle is 2 dimensional shape with 3 sides and angles. The types of triangle that we have are;
- Equilateral triangle
- Scalene triangle
- Isosceles
The given triangle is a scalene triangle since <u>none of the sides are equal</u>
From the figure shown, we can see that the mea<em>sure of DF is equivalent to CE and EB</em>
Since CB = CE + EB
Given the following parameter
DF = 4cm
CE = EB = DF = 4cm
Substitute
CB = 4cm + 4cm
CB = 8cm
Hence the measure of CB from the given figure is 8cm
Learn more on triangles here; brainly.com/question/25215131
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Answer:
A quadratic equation can be written as:
a*x^2 + b*x + c = 0.
where a, b and c are real numbers.
The solutions of this equation can be found by the equation:

Where the determinant is D = b^2 - 4*a*c.
Now, if D>0
we have the square root of a positive number, which will be equal to a real number.
√D = R
then the solutions are:

Where each sign of R is a different solution for the equation.
If D< 0, we have the square root of a negative number, then we have a complex component:
√D = i*R

We have two complex solutions.
If D = 0
√0 = 0
then:

We have only one real solution (or two equal solutions, depending on how you see it)
Answer:
6
Step-by-step explanation:
Given :
Sample size, n = 36
Sample variance, s² = 1296
The estimated standard error can be obtained using the relation :
Standard Error, S. E = standard deviation / √n
Standard deviation, s = √1296 = 36
S.E = 36/√36
S.E = 36/6
S.E = 6
Hence, estimated standard error = 6