Answer:5.4
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
<h3>Proposition:</h3>
Let the diagonals AC and BD of the Parallelogram ABCD intercept at E. It is required to prove AE=CE and DE=BE
<h3>Proof:</h3>
1)The lines AD and BC are parallel and AC their transversal therefore,
![\displaystyle \angle DAC = \angle ACB \\ \ \qquad [\text{ alternate angles theorem}]](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%20%5Cangle%20DAC%20%3D%20%20%5Cangle%20ACB%20%5C%5C%20%20%5C%20%5Cqquad%20%5B%5Ctext%7B%20alternate%20angles%20theorem%7D%5D)
2)The lines AB and DC are parallel and BD their transversal therefore,
![\displaystyle \angle BD C= \angle ABD \\ \ \qquad [\text{ alternate angles theorem}]](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%20%5Cangle%20BD%20C%3D%20%20%5Cangle%20ABD%20%5C%5C%20%20%5C%20%5Cqquad%20%5B%5Ctext%7B%20alternate%20angles%20theorem%7D%5D)
3)now in triangle ∆AEB and ∆CED
therefore,

hence,
Proven
Using the midpoint concept, it is found that the value of a is of a = 2.
<h3>What are the coordinates of the points?</h3>
Researching this problem on a search engine, the coordinates are given as follows:
<h3>What is the midpoint concept?</h3>
The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
Hence the following system of equations can be built:
(b + 1 + 2a)/2 = 3.
b + 1 + 2a = 6.
b = 5 - 2a.
(a + 2 + 3b + 3)/2 = 5
a + 3b + 5 = 10
a + 3b = 5.
Since b = 5 - 2a, we have that:
a + 15 - 6a = 5.
5a = 10
a = 10/5
a = 2.
The value of a is of a = 2.
More can be learned about the mid-point concept at brainly.com/question/10956693
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Answer:
The area of the triangle WYX =
= 17
Step-by-step explanation:
The area of the triangle WYX is
*b*h
We need to find base (b) and height (h)
By counting from the drawing, the base which is horizontal is 7 and the height which is vertical is 5
The area of the triangle WYX is
*b*h
The area of the triangle WYX =
*7*5 =
= 17