Count how much spaces from one point on the end of the line to the other.
Line VU has 9 units
Line VW has 12 units
Line UW has:
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
c² = 225
√c² = √225
c = 15
Line UW has: 15 units
Now add all the units together to get the perimeter:
9 + 12 + 15 =
21 + 15 =
36
36 is your answer
hope this helps
(a) Find the value of x.
Sum of interior in a triangle = 180
So m<BAC + m<ABC + m<BCA = 180
4x + 10 + 5x + 18 + 3x - 16 = 180
12x + 12 = 180
12x = 168
x = 14
(b) Find the measure of <3.
<3 + <BCA = 180
<BCA = 3x - 16 = 3(14) - 16 = 26°
So
<3 = 180 - <BCA
<3 = 180 - 26
<3 = 154°
Answer:
1/54
Step-by-step explanation:
I believe you would take the chance of just getting the brother(1/6) and times that by the chance of getting the sister(1/9) which would be 1/54.
The measure of ∠FDE = 18°
<u>Explanation:</u>
A Pentagon has 5 sides and is made of 3 triangles
So, sum of the interior angles of the triangle = 180°
Therefore, the total interior angle of a regular pentagon = 3 X 180° = 540°
A regular pentagon will have all its angle equal
All the five angles would make 540°
Let the measure of one angle = x
So,
5x = 540°
x = 108°
Therefore, the measure of each angle of a pentagon is 108°
From the diagram,
∠AED + ∠FED = 180°
∠AED = 108° as it is one of the sides of the pentagon
So,
108° + ∠FED = 180°
∠FED = 72°
In ΔEFD,
∠FED + ∠EFD + ∠FDE = 180°
72° + 90° + ∠FDE = 180°
∠FDE = 18°
Therefore, the measure of ∠FDE = 18°
