Question

draw and label each of the following. 1. $overleftrightarrow{ab}$ 2. points c and d 3. $overline{rs}$ 4. points l, m, and n 5. $overrightarrow{mn}$ 6. $overleftrightarrow{jk}$ 15) $329=-7(1 + 6b)$ 16) $68=3(6r - 1)-7(1 - 3r)$ 17) $-12 = 5(6x+4)+7(x + 6)$ 18) $-12=-6(-8n+6)+8(-4 + n)$

Explanation:

Step1: Distribute on the right - hand side

$329=-7 - 42b$

Step2: Add 7 to both sides

$329 + 7=-42b$
$336=-42b$

Step3: Divide both sides by - 42

$b=\frac{336}{-42}=-8$

16.

Step1: Distribute on the right - hand side

$68 = 18r-3-7 + 21r$

Step2: Combine like terms

$68=39r - 10$

Step3: Add 10 to both sides

$68 + 10=39r$
$78 = 39r$

Step4: Divide both sides by 39

$r=\frac{78}{39}=2$

17.

Step1: Distribute on the right - hand side

$-12 = 30x+20 + 7x+42$

Step2: Combine like terms

$-12=37x + 62$

Step3: Subtract 62 from both sides

$-12-62=37x$
$-74 = 37x$

Step4: Divide both sides by 37

$x=\frac{-74}{37}=-2$

18.

Step1: Distribute on the right - hand side

$-12 = 48n-36-32 + 8n$

Step2: Combine like terms

$-12=56n-68$

Step3: Add 68 to both sides

$-12 + 68=56n$
$56 = 56n$

Step4: Divide both sides by 56

$n=\frac{56}{56}=1$

Answer:

1. For drawing $\overrightarrow{AB}$:

• Draw a straight - line. Mark two points $A$ and $B$ on the line. Place an arrowhead starting from $A$ and pointing towards $B$.

1. For points $C$ and $D$:

• Mark two distinct points on a plane and label them as $C$ and $D$.

1. For $\overline{RS}$:

• Draw a straight - line segment. Mark two endpoints $R$ and $S$ on the line segment.

1. For points $L$, $M$, and $N$:

• Mark three distinct points on a plane and label them as $L$, $M$, and $N$.

1. For $\overrightarrow{MN}$:

• Draw a straight - line. Mark two points $M$ and $N$ on the line. Place an arrowhead starting from $M$ and pointing towards $N$.

1. For $\overleftrightarrow{JK}$:

• Draw a straight - line. Mark two points $J$ and $K$ on the line. Place arrowheads on both ends of the line to indicate it extends infinitely in both directions.

15.