Answer:
As per ASA postulate, the two triangles are congruent.
Step-by-step explanation:
We are given two triangles:
and 
.
AD bisects BE.
AB || DE.
Let us have a look at two properties.
1. When two lines are parallel and a line intersects both of them, then <em>alternate angles </em>are equal.
i.e. AB || ED and 
and 
are alternate angles 
.
2. When two lines are cutting each other, angles formed at the crossing of two, are known as <em>Vertically opposite angles </em>and they are are <em>equal</em>.
Also, it is given that <em>AD bisects BE</em>.
i.e. EC = CB
1.
2. EC = CB
3. 
So, we can in see that in and , two angles are equal and side between them is also equal to each other.
Hence, proved that 
.
The correct proportion of the corresponding sides is 2 : 3
<h3>How to determine the proportion?</h3>
From the question, we understand that the shapes are similar.
This means that:
Ratio = GHIJ : KLMN
From the figure, we have:
GH = 6 and KL = 9
So, we have:
Ratio = 6 : 9
Simplify the ratio
Ratio = 2 : 3
Hence, the correct proportion of the corresponding sides is 2 : 3
Read more about similar shapes at:
brainly.com/question/14285697
#SPJ1
6<span>√2 is already in it's simplest form as a radical.
</span>
Answer:
16.76°
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, WX = 8.3 feet, and XV = 2.5 feet.
We want to find the measure of <W.
We know side length that is adjacent and opposite to <W.
We can use the tangent ratio, to find the measure of <W.
The tangent ratio is opposite over hypotenuse.
Take tangent inverse to get:
Step One: Calculate interest.
Step Two: Calculate the amount at the end of the first year.
Step Three: Calculate the amount at the end of the second year. This will be your final answer.
$1357 balance
