Answer:
$3.72
Step-by-step explanation:
7.75*2=15.5
15.5+0.78=16.28
20-16.28=3.72
Answer:
90°
Step-by-step explanation:
AB and CD are parallel lines and EF is reversal
Therefore angles BGH and DHG are consecutive interior angles
<u>As we know the sum of consecutive interior angles equals to 180°:</u>
<u>Line GP bisects angle BGH , therefore</u>
<u>Line HP bisects angle GHD, therefore</u>
<u>Sum of two angles of triangle GHP:</u>
- m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°
<u>Therefore the missing angle a is:</u>
- ∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°
The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
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-10x^2 - 8y + 3x^2 - 2y^3 = -7x^2 - 2y^3 - 8y