Question

geometry with data analysis u2 l4 review cards station 13: solve for x. station 14: which of the following angles has the smallest measure? geometry with data analysis u2 l4 review cards station 15: what is the area of the smallest square? a = 25 cm² a = 16 cm² station 16: determine the height of the triangle. round to the nearest hundredth. 15 ft 13 ft

Explanation:

Station 13: Solve for \( x \)

Step 1: Recall triangle angle sum

The sum of angles in a triangle is \( 180^\circ \). So, \( 85^\circ + (6x - 7)^\circ + (14x + 7)^\circ = 180^\circ \).

Step 2: Simplify the equation

Combine like terms: \( 85 + 6x - 7 + 14x + 7 = 180 \). The \( -7 \) and \( +7 \) cancel, giving \( 85 + 20x = 180 \).

Step 3: Solve for \( x \)

Subtract 85: \( 20x = 180 - 85 = 95 \). Divide by 20: \( x = \frac{95}{20} = 4.75 \).

Answer:

\( x = 4.75 \)

Station 15: Area of the smallest square

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