By using parallel lines and transversal lines concept we can prove m∠1=m∠5.
Given that, a║b and both the lines are intersected by transversal t.
We need to prove that m∠1=m∠5.
<h3>What is a transversal?</h3>
In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.
m∠1+m∠3= 180° (Linear Pair Theorem)
m∠5+m∠6=180° (Linear Pair Theorem)
m∠1+m∠3=m∠5+m∠6
m∠3=m∠6
m∠1=m∠5 (Subtraction Property of Equality)
Hence, proved. By using parallel lines and transversal lines concept we can prove m∠1=m∠5.
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It will be 4 o'clock when Brad takes his 16th pill.
Hope it helps
Answer:
x = - 
Step-by-step explanation:
(x - 3) - 5 =
(x - 1)
Multiply through by 8 to clear the fractions
6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side
6x - 18 - 40 = x - 1
6x - 58 = x - 1 ( subtract x from both sides )
5x - 58 = - 1 ( add 58 to both sides )
5x = - 57 ( divide both sides by 5 )
x = - 
Answer:
Step-by-step explanation:
1. You can use the intercepts to graph the line. The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.
2. Point-Slope Form: y - y1 = m(x - x1)
Standard Form: ax + by = c
5x - 2y = 10
-2y = -5x + 10
y = (5/2)x - 5 The slope is 5/2.
y - 2 = (-5/2)(x - 10)
y = (-5/2)x + 25 + 2
y = (-5/2)x + 27 The slope is -5/2.
y = (-5/2)x - 10 The slope is -5/2.
Answer:
P = 1600 + 60N; $3,340
Step-by-step explanation:
Since we know she gets $1,600 as a base, and $60 <em>each book</em>, we have to add a variable to 60 to show how many books she sells. Your first equation will be P (which is the total) = 1,600 + 60N. Now, we have to replace N with 29. You now have P = 1,600 + 60(29) = 1,600 + 1,740 = $3,340. That's your answer!