Step-by-step explanation:
and,
represents perpendicular lines.
Two lines are perpendicular when product of their slopes = -1
In, y =½x+4
m1 = ½
In y = -2x -3
m2 = -2
Now, m1× m2 = ½× (-2) = -1
Answer: 17
EXPLANATION: Today vice presidents serve as principal advisors to the president, but from 1789 until the 1950s their primary duty was to preside over the Senate. Since the 1830s, vice presidents have occupied offices near the Senate Chamber. Over the course of the nation’s history, the vice president’s influence evolved as vice presidents and senators experimented with, and at times vigorously debated, the role to be played by this constitutional officer.
Answer:
C, 360
Step-by-step explanation:
Interior angle sums can be found using the equation (N=-2)*180, where N equals the number of sides of the polygon.
Answer:
<h2>15</h2>
Step-by-step explanation:
∠6 and ∠7 are Alternate Interior Angles.
The lines l and m are parallel, therefore ∠6 and ∠7 are congruent.
m∠6 = m∠7 → 4x - 15 = x + 30 <em>add 15 to both sides</em>
4x = x + 45 <em>subract x from both sides</em>
3x = 45 <em>divide both sides by 3</em>
x = 15
Answer:
77
Step-by-step explanation:
5.5 * 3.5 * 1 = 19.25
0.5 * 0.5 = 0.25
19.25 ÷ 0.25 = 77
