=3(3z)2-3
=3(9z2)-3
=27z^2-3
=3(9z^2-1)
=3(3z+1)(3z-1)
Answer:
40%
Step-by-step explanation:
6/15=favorable amount/total amount
6/15=2/5
2/5*20
A supplmentary angle = 180°
∠BDE and ∠BDF are vertical angles, and so are congruent.
∠BDF = 125°, because ∠BDF ≅ ∠BDE.
∠CDA ≅ ∠EDF
∠CDA = 90°
<span>line BJ </span> is angle bisector of ∠CDA. ∠CDB is 1/2 of ∠CDA
∠CDA = 90°
∠CDB = 90/2
∠CDB = 45°
∠GDF is a vertical angle of ∠CDB, and it's measurement will be the same as ∠CDB.
∠GDF ≅ ∠CDB
∠CDB = 45°
∠GDF = 45°
∠GDF = 45° should be your answer
hope this helps
The measure of the sides is 27, 23 and 16 and the perimeter is 56 respectively
<h3>The perimeter of a triangle</h3>
The triangle is a 2 dimensional shape that has 2 sides.
Given the following sides
l = m + n - 12
n = m - 7
m = l - 1/4n
l = m + 1/4n
Substitute
m + 1/4n = m + m - 7 - 12
m + 1/4(m-7) = 2m - 19
m + 1/4m - 7/4 = 2m - 19
-m + 1/4m = -19 + 7/4
-3/4m = -19(4)+7/4
-3/4m = -69/4
-3m = -69
m = 23
Hence the value of m from the given expression is 23
n = 23 - 7
n = 16
l = 23 + 16 -12
l = 39 - 12
l = 27
n = 23 - 7
n = 16
Hence the measure of the sides is 27, 23 and 16 respectively
Perimeter = 27+23+16
Perimeter = 56
Learn more on perimeter of triangle here: brainly.com/question/24382052
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