Wendy walks 2 miles in 22 minutes. She continues to walk at the same rate. How many minutes will it take her to walk 11 miles? U
se a double number line to support your answer.
1 answer:
Answer:
121 minutes
Step-by-step explanation:
<em>First, we divide the time by the miles</em>
22 ÷ 2 = 11
<em>So now that we have the unit rate, 1 mile for every 11 minutes, we can multiply 11 (the unit rate minutes) by 11 (the given miles she wants to reach)</em>
11 x 11 = 121
<em>So, in 121 minutes, Wendy can walk 11 miles. </em>
<em>(the double number line will look something like this, but going all the way until 121:11)</em>
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Answer:
i. ΔAXC ~ ΔCXB
ii. ΔBCX Is-congruent-to ΔACX
Step-by-step explanation:
From the given ΔABC, CX is the altitude of ΔABC; and also an angle bisector of <ACB.
So that:
m<AXC = m<BXC (right angle property)
m<ACX = m<BCX (congruent property)
m<ACX + m<AXC + m<CAX = (sum of angles in a triangle)
m<BCX + m<BXC + m<CBX = (sum of angles in a triangle)
Therefore, from the figure it can be deduced that;
i. ΔAXC ~ ΔCXB (Angle-Angle-Side, AAS, property)
ii. ΔBCX Is-congruent-to ΔACX (Angle-Angle-Side, AAS, property)