Answer:

Step-by-step explanation:
step 1
Find the value of x
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem we have that
∆EGF~∆EML
so

substitute the given values

solve for x



step 2
Find MG
we know that

substitute

Answer:
(1,2)
Step-by-step explanation:
The solution is the point where the two lines intersect at.
In other words the point where the two lines make an x.
Hope this helps ya!!
Answer:
in the form 81 and 324
Step-by-step explanation:
Divide 405 in the ratio 3: 12.
3x+12x=405
15x=405
x=405:15
x=27
=> 3*27 and 12*27
81 and 324
in the form 81 and 324
Answer:
Width of the garden box = 4 feet
Step-by-step explanation:
Given that:
Length of garden box = 22 feet
Let,
w be the width of garden box
It is also given that:
The length of a garden box is 6 feet longer than 4 times the width.
L = 4w + 6
Putting L = 22
22 = 4w + 6
22 - 6 = 4w
4w = 16
Dividing both sides by 4

Hence,
Width of the garden box = 4 feet
Answer:
Alternate Exterior Angles
Step-by-step explanation:
Alternate exterior angles are two angles on the opposite outer sides of two parallel lines cut by a transversal.
The two angles given, 2 and 7, are alternate exterior angles.
Hope it helps! :)