Answer:
The proof is explained below.
Step-by-step explanation:
Given ∠AEB=45° and also ∠AEC is right angle i.e ∠AEC=90°
we have to prove that EB is the angle bisector.
In the right angled triangle AEC,
∠AEC=90° and also ∠AEB=45°
∵ ∠AEB+∠BEC=∠AEC
⇒ 45° + ∠BEC = 90°
By subtraction property of equality
∠BEC = 45°
Hence, ∠AEB = ∠BEC = 45°
The angle ∠AEB equally divides by the line segment EB therefore, the line segment EB is the angle bisector of angle ∠AEB.
Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.
To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.
Upon substituting our given values in Pythagoras theorem, we will get:
Take square root of both sides:
Therefore, the length of side 'a' is 
units.
We know that tangent relates opposite side of a right triangle with adjacent side.
We can see that 'a' is opposite side of angle A and 'b' is adjacent side.
Therefore, the value of tan(A) is 
.
Answer:
54=9×6
Step-by-step explanation:
54is 9 times 6
Answer:
Correlation does not imply causation
Step-by-step explanation:
Correlation is a statistical technique which shows how strongly a pair of variables are linearly related and change together.
Causation says that the change in one value will cause the other to change, making one variable dependent on the other.
Examples of correlation with causation are:
a) ice cream sales and summer temperatures
b) forest fires and summer temperatures
An example of correlation without causation is ice cream sales and forest fires. While they both increase as temperatures increase, ice cream sales are not CAUSING the forest fires.
From the information available it can be suggested that there is a correlation between sexual intercourse within a month prior to delivery as there is a higher number of fetus deaths to mothers who had sexual intercourse within a month prior to delivery. However, there is no information which shows the sexual intercourse caused the deaths. Additionally, 89% of the mothers of fetuses who died DID NOT have sexual intercourse within a month prior to delivery, thus even the correlation is weak in this case.
Answer:
<em>(7, 5.25)</em> lies on the graph.
Step-by-step explanation:
We are given the following values
x = 4, 6, 8, 12 and corresponding y values are:
y = 3, 4.5, 6, 9
Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.
Equation of a line passing through two points 
and 
is given as:
where m is the slope.
(x,y) are the coordinates from where the line passes.
c is the y intercept.
Here,
Formula for slope is:
Now, the equation of line becomes:
Putting the point (4,3) in the above equation to find <em>c</em>:
So, final equation of given function is:
OR
As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.
So correct answer is 
.
