Question

Find YZ pls fast correct

Answer 1

$\huge\text{Hey there!}$

$\large\textsf{21(2x - 6) = 30(x + 1)}$

$\large\textsf{21(2x) + 21(-6) = 30(x) + 30(1)}$

$\large\textsf{21(2x) = 42x}$

$\large\textsf{21(-6) = -126}$

$\large\textsf{30(x) = 30x}$

$\large\textsf{30(1) = 30}$

$\large\textsf{42x - 126 = 30x + 30}$

$\large\text{Put ALL your LIKE TERMS TOGETHER}$

$\large\text{NEW EQUATION: \textsf {42x - 30x = 126 + 30}}$

$\large\textsf{42x - 30x = 12x}$

$\large\textsf{126 + 30 = 156}$

$\large\text{NEW EQUATION: \textsf{12x = 156}}$

$\large\text{DIVIDE 12 to BOTH SIDES}$

$\mathsf{\dfrac{12x}{12}=\dfrac{156}{12}}$

$\large\text{CANCEL out: } \mathsf{\dfrac{12}{12}}\large\text{ because that gives you 1}$

$\large\text{KEEP: }\mathsf{\dfrac{156}{12}}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}$

$\mathsf{\dfrac{156}{12}=\bf 13}$

$\large\text{NEW and FINAL EQUATION: \textsf{30 + 1 + 13}}$

$\large\textsf{30 + 1 + 13}$

$\large\textsf{30 + 1 = \bf 31}$

$\large\textsf{= 31 + 13}$

$\large\textsf{= \bf 44}$

$\boxed{\boxed{\large\textsf{Answer: \huge \bf YZ = 44 }}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~$\frak{Amphitrite1040:)}$

Answer 2

Answer:

• 44

Step-by-step explanation:

According to intersecting chords theorem:

• 21(2x - 6) = 30(x + 1)
• 42x - 126 = 30x + 30
• 42x - 30x = 126 + 30
• 12x = 156
• x = 156/12
• x = 13

Find the value of YZ:

• YZ = 30 + 13 + 1 = 44