Answer:
Given: 
and q is a transversal.
Alternative Interior Angle states that a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal are equal.
By alternative interior angle;
Definition of Congruent angles are angles that have the same degree of measurement.
Therefore, 
[By definition of Congruent] .....[1]
Linear Pair states that a pair of adjacent angles formed when two lines are intersect.
therefore, 
and 
are a linear pair. [by definition of linear pair]
Two angles of linear pairs are always supplementary , which means their measure are add up to 180 degree.
By the definition of supplementary angles, 
.....[2]
Substitute equation [1] in [2] we get,
By the definition of supplementary angles,
is supplementary to 
Hence proved!
20.50+36.21=56.57
Twice can be said as x2 so
20.50 x2=41
Leaving 56.57 and 41
56.67+41=91.67
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Simplify 2/3 - 1/7 to 11/21
10/21 + 11/21
Simplify
The answer is 1.
The amount in the passbook account is $11,000 and the money in the money market account is $8000
Let:
a represent the unknown amount in the passbook account
b represent the unknown amount in the money market account
From the question, the following information can be gathered:
- The money in the passbook account exceeds the amount in the money market account.
This information can be represented with this equation : a - b = 3000
- The interest paid on the passbook account exceeds the interest paid on the money market account.
This information can be represented with this equation : 0.08a - 0.10b = 80
The two equations gotten above would be solved using simultaneous equation and the elimination method
a - b = 3000 equation 1
0.08a - 0.10b = 80 equation 2
Multiply equation 1 by 0.08
0.08 - 0.08b = 240 equation 3
Subtract equation 2 from 3
0.02b = 160
Divide both sides of the equation by 0.02
b = 8000
Substitute for b in equation 1
a - 8000 = 3000
Add 8000 to both sides
a = 11,000
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
