Question

18 multiple choice 2 points use the diagram below to answer the question. what is the measure of x? 90° 64° 116° 26° 19 multiple choice 2 points what is the slope of any line perpendicular to a line that has a slope of 9/5? -9/5 5/9 undefined -5/9

Explanation:

Problem 18

Step1: Recall the property of complementary angles

The sum of complementary angles is \(90^{\circ}\).

Step2: Calculate the value of \(x\)

We know that \(x + 26^{\circ}=90^{\circ}\). Solving for \(x\), we get \(x=90^{\circ}- 26^{\circ}\).

$$x = 64^{\circ}$$

Step1: Recall the formula for the slope of perpendicular lines

If two lines with slopes \(m_1\) and \(m_2\) are perpendicular, then \(m_1\times m_2=- 1\).

Step2: Let \(m_1=\frac{9}{5}\) and find \(m_2\)

We have \(\frac{9}{5}\times m_2=-1\). Solving for \(m_2\), we get \(m_2=-\frac{5}{9}\).

Answer:

\(64^{\circ}\)

Problem 19