Triangle LMN is similar to Triangle MKN.
If we look at the smaller triangle created by the line from angle M, we can see that if we flip the smaller triangle so angles M and L would match up, the triangles are similar.
Triangle LMN is similar to Triangle LKM.
If we look at the entire triangle as a whole, we can see that is is a right triangle as well. As long as we remember to match up the angles, we can say that the triangles are similar.
Hope this helps!! :)
Answer:Width is 6 meters and length is 7 meters
Step-by-step explanation:Let width be
x
and length be
y
. We know that the length of the rectangle is 5 less than twice its width. This can be written as:
y
=
2
x
−
5
We also know that the perimeter of the rectangle is 26 meters. The perimeter is the sum of all sides: 2 widths + 2 lengths.
P
=
2
x
+
2
y
26
=
2
(
x
+
y
)
x
+
y
=
13
We now have two equations which we can solve simultaneously. Substitute
y
=
2
x
−
5
into the second equation:
x
+
y
=
13
x
+
(
2
x
−
5
)
=
13
3
x
=
18
x
=
6
Now that we have a value for
x
(width), we can sub this value into the first equation to get
y
(length).
y
=
2
(
6
)
−
5
y
=
7
There are other methods you can use to solve simultaneous equations.
Hope this helps :)
Answer:
........................
Step-by-step explanation:
Answer:
answer: 560
Step-by-step explanation:
Multiply 5 by 112 so 112 × 5 = 560 So 112 is 20% of 560
Answer:
35.6 units
Step-by-step explanation:
By intersecting chords theorem:
10*x = 16*16
10x = 256
x = 256/10
x = 25.6
AB = 10 + x
AB = 10 + 25.6
AB = 35.6
