Matt says he can find the sum of 45+50 without rewriting it. Explain how you can solve this problem using mental math.
2 answers:
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Answer:
x=108
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠RQS≅m∠QLK -----> by corresponding angles
m∠KLM+m∠QLK=180° -----> by supplementary angles (consecutive interior angles)
we have that
m∠RQS=x° ----> given problem
so
m∠QLX=x°
m∠KLM=(x-36)° ----> given problem
substitute
Answer: <em>A. 241 feet</em>
Step-by-step explanation:
<em>The figure shows two rectangular triangles. </em>
<em>These triangles are similar since they have two identical angles: </em>
<em>the first angle is 90 degrees; </em>
<em>the second angle is equal because the law of reflection states that the angle of incidence is equal to the angle of reflection. </em>
<em>The law of reflection states that the angle of incidence is equal to the angle of REFLECTION.</em>
<em>Let's make the proportion:</em>
<em /><em />
<em>It takes a minimum of 100 feet for a parachute to open and safely land without injury, so:</em>
<em>341.25 - 100 = 241.25 (feet)</em>
<em>241.25 ≈ 241 (feet)</em>