Question

page 238
#4. adesh writes the correct equation to represent the angle measures in the diagram.
( m + 33 = 90 )
answer: ______

page 239
#5. the length of a rectangle is 45 inches. the length is 21 inches less than the width of the rectangle.
sana writes the correct equation to represent the situation.
( w - 21 = 45 )
answer: ______

page 240
b. solve for ( n )
( 13.1 = n + 2.6 )

page 247
#5. solve ( a + 138 = 180 ) to determine the measure of the angle labeled ( a ). show your work. (draw!)

exit ticket: solve each equation algebraically. use substitution to check your solution.
( f + 2.8 = 7.3 )
answer: ______

Explanation:

Let's solve each problem one by one:

Page 238: Solve \( m + 33 = 90 \)

Step 1: Subtract 33 from both sides

To isolate \( m \), we subtract 33 from both sides of the equation.
\( m + 33 - 33 = 90 - 33 \)

Step 2: Simplify

Simplify both sides of the equation.
\( m = 57 \)

Step 1: Add 21 to both sides

To isolate \( w \), we add 21 to both sides of the equation.
\( w - 21 + 21 = 45 + 21 \)

Step 2: Simplify

Simplify both sides of the equation.
\( w = 66 \)

Step 1: Subtract 2.6 from both sides

To isolate \( n \), we subtract 2.6 from both sides of the equation.
\( 13.1 - 2.6 = n + 2.6 - 2.6 \)

Step 2: Simplify

Simplify both sides of the equation.
\( 10.5 = n \) or \( n = 10.5 \)

Answer:

\( m = 57 \)

Page 239: Solve \( w - 21 = 45 \)