2 years ago

Given that lines b and c are parallel, select all that apply.

Mathematics

1 answer:

dangina [55]2 years ago

4 0

Answer:

Angles 7, 2, and 6

Step-by-step explanation:

Angle 7 is congruent by corresponding angles to angle 3.

Angle 2 is congruent by vertical angles to angle 3.

Angle 6 is congruent by vertical angles to angle 7, which is congruent to angle 3, so angle 3 and angle 6 must also be congruent.

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Movie theater makes 40% on every ticket they sell. If the theater made $24,850 in ticket sales last month, what was the total mo

shtirl [24]

If you were supposed to find 40% of $24,850 then the answer would be $9940.

4 0

3 years ago

Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x +

aleksley [76]

Answer:

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================$

$\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10$