where is the figures to solve.
Solve for x by simplifying both sides of the equation, then isolating the variable
x= -1/4
Answer: Angle A = 120° and angle C = 45°
Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,
{12x + 12} + 15 + {3x + 18} = 180
12x + 12 + 15 + 3x + 18 = 180
By collecting like terms, we arrive at,
12x + 3x + 12 + 15 + 18 = 180
15x + 45 = 180
Subtract 45 from both sides of the equation
15x = 135
Divide both sides of the equation by 15
x = 9
At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.
Angle A = 12x + 12
= 12(9) + 12
= 108 + 12
= 120
Angle A = 120°
Angle C = 3x + 18
= 3(9) + 18
= 27 + 18
= 45
Angle C = 45°
Pedro had 1482 hits and Riley had 1200 hits.
Step-by-step explanation:
Given,
Number of base hits = 2682
Let,
Number of Pedro's hits = x
Number of Riley's hits = y
According to given statement;
x+y=2682 Eqn 1
x = y+282 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 2
Putting y=1200 in Eqn 2
Pedro had 1482 hits and Riley had 1200 hits.
Keywords: linear equation, substitution method
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