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{(12x)/(12)=(156)/(12)}`

`\large\text{CANCEL out: } \mathsf{(12)/(12)}\large\text{ because that gives you 1}`

`\large\text{KEEP: }\mathsf{(156)/(12)}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}`

`\mathsf{(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

• 44

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