For Exercises 4–7, refer to the figure, in which x and y are parallel lines.
4. Identify a transversal.
5. Identify all pairs of vertical angles.
6. Suppose you know that m_2=m24 = 50°. Find the measure of
each numbered angle.
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7. Given that m_2=m24, what do you know about 22 and 23? Explain
your reasoning

Translate the following words into an expression: “the quotient of a number and three is five.”

Asilkworm winds its cocoon out of one long silk fiber. to make silk thread, 3 to 10 of these silk fibers are unwound from their cocoons and combined into aa single thread with a typical length of 300 yards. choose a reasonable number of silk fibers in a thread write an equation to find the total length of the silk fibersused in 300 yards of the thread

It is given that the quadratic equation hx²-3x+k=0, where h and k are constants, has roots [tex] \beta \: and \: 2 \beta [/tex]express h in terms of k