Answer: Line AC = 36
Step-by-step explanation: The first and most important clue is the fact that points B, D and F are midpoints of the triangle ACE. What this tells us is that point B divides line AC into two equal sides. Likewise points D and F. If point D divides line EC into two equal sides, then line ED equals
39/2 = 19.5
Also, triangle FED is similar to triangle AEC. Since ED is half of EC, and FE is half of AE. Therefore in triangles FED and AEC,
FD/ED = AC/EC
18/19.5 = AC/39
By cross multiplication we now have
(18 x 39)/19.5 = AC
702/19.5 = AC
36 = AC
Therefore line AC = 36
We know that the sum of the internal angles in each triangle is 180°.
Therefore we have the equation:
substitute and solve:
We have
substitute the value of x to the expression:
Answer: m∠N = 42 degrees
An integer is a whole number without any fraction or decimal part.
Answer:
64
Step-by-step explanation:
P E D M A S
() ² ÷ × + -
6 x 8 = 48
114 + 48 = 192
(192) ÷ 3 = g
192 / 3 = 64
g = 64
