Tangent 45 = height / 3
height = 3 * tan (45)
height = 3 * 1
height = 3
<span>Trapezoid area = ((sum of the bases) ÷ 2) • height
</span>
<span>Trapezoid area = (9 + 15) /2 * height
</span><span>Trapezoid area = 12 * 3
</span><span>Trapezoid area = 36
</span>
Answer:
y=-x-2*-3
Step-by-step explanation:
⟨A = 7•x + 40° and ⟨B = 3•x + 112°
From a possible diagram of the question, ⟨A = ⟨B, which gives;
<h3>How can the value of <em>x </em>and the measure of ⟨A be found?</h3>
Given;
⟨A = 7•x + 40°
⟨B = 3•x + 112°
In the diagram from a similar question posted online, we have;
- ⟨A and ⟨B are corresponding angles
Corresponding angles formed by parallel lines having a common transversal are congruent, therefore;
Which gives;
7•x + 40° = 3•x + 112°
7•x - 3•x = 112° - 40° = 72°
7•x - 3•x = 4•x = 72°
x = 72° ÷ 4 = 18°
Therefore;
Which gives;
⟨A = 7•x + 40°
⟨A = 7 × 18 + 40° = 166°
- The measure of angle ⟨A = 166°
Learn more about angles formed by parallel lines that have a common transversal here:
brainly.com/question/13209798
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