The Venn diagram shows the number of students that exercise in different ways. What number should go in the highlighted box belo
w?
1 answer:
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Answer:
in steps
Step-by-step explanation:
DE // BC
m∠ADE = m∠ABC and m∠AED = m∠ACB
∴ ΔADE similar to ΔABC
AB/AD = AC/AE
(AD + DB) / AD = (AE + EC) / AE
AD/AD + DB/AD = AE/AE + EC/AE
1 + DB/AD = 1 + EC/AE
DB/AD = EC/AE (AD/DB = AE/EC)
Answer:
Step-by-step explanation:
Use the formula to find the sum of the angles in a polygon, given <em>n</em> sides. This formula tells us the angles of this pentagon must add to 540 (
).
So, we can setup an equation:
Solve for z:
Combine like terms
Subtract 200
Divide by 5
Therefore, the value of z = 68.