An exterior angle is equal to the sum of the two opposite inside angles.
T + 31 = t + t-29
Simplify:
T + 31 = 2t -29
Add 29 to both sides:
T + 60 = 2t
Subtract 1t from both sides:
T = 60
Answer:
114°
Step-by-step explanation:
The exterior angle is the sum of the remote interior angles.
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<h3>setup</h3>
(11x +15)° = 60° +6x°
<h3>solution</h3>
5x = 45 . . . . . . . . . divide by °, subtract 15+6x
x = 9 . . . . . . . . . . divide by 5
The measure of exterior angle KMN is ...
m∠KMN = (11(9) +15)° = 114°
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<em>Additional comment</em>
Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...
60° +6x° +M = 180°
(11x +15)° +M = 180°
Equating these expressions for 180° and subtracting M gives the relation we used above:
(11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°
(11x +15)° = 60° +6x° . . . . . . . . . . . subtract M
This is also described by "supplements to the same angle are equal."
Answer: I got 50x+$75 but I’m not too sure for the last step
Step-by-step explanation:
State C spent $28.3 million and State D spent $26.3 million.
Step-by-step explanation:
Total spent for tourism = $54.6 million
Let,
The amount spent by State C = x
The amount spent by State D = y
According to given statement;
x+y = 54.6 Eqn 1
x=y+2 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 2
Putting y=26.3 in Eqn 2
State C spent $28.3 million and State D spent $26.3 million.
Keywords: linear equations, substitution method
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Answer:
sorry i cant I really need the points tho
