Answer:
Step-by-step explanation:
HT = TP = 15
so: 3x = 15
x = 15/3
x = 5
ET = EO
so:
y+7 = 2y-3
7+3 = 2y - y
y = 10
EP =?
since HO =30 so EP = HO =30
or we can try using Pythagorean theorem:
c² = a² + b²
EO = ET + TO = y+7 + 2y -3 = 10+7 + 2(10)-3 = 34
EO² = (HO)² + (HE)²
34² = (30)² + (HE)²
HE² = 34² - 30² = 256
HE =
or
HP = HT + TP = 3x + 15 = 3(5) + 15 = 30
EO² = (HO)² + (OP)²
34² = (30)² + (OP)²
OP² = 34² - 30² = 256
OP =
so, solving for EP:
EO² = EP² + OP²
EP² = EO² - OP²
EP² = (34)² - (16)²
EP² = 1156 - 256 = 900
EP² = 900
EP =
again:
EO = ET + TO = (y+7) + (2y -3) = (10+7) + [2(10)-3] = 34
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Answers & Comments
Answer:
Step-by-step explanation:
HT = TP = 15
so: 3x = 15
x = 15/3
x = 5
ET = EO
so:
y+7 = 2y-3
7+3 = 2y - y
y = 10
EP =?
since HO =30 so EP = HO =30
or we can try using Pythagorean theorem:
c² = a² + b²
EO = ET + TO = y+7 + 2y -3 = 10+7 + 2(10)-3 = 34
EO² = (HO)² + (HE)²
34² = (30)² + (HE)²
HE² = 34² - 30² = 256
HE =![\sqrt{256} = 16 \sqrt{256} = 16](https://tex.z-dn.net/?f=%5Csqrt%7B256%7D%20%20%3D%2016)
or
HP = HT + TP = 3x + 15 = 3(5) + 15 = 30
EO² = (HO)² + (OP)²
34² = (30)² + (OP)²
OP² = 34² - 30² = 256
OP =![\sqrt{256} = 16 \sqrt{256} = 16](https://tex.z-dn.net/?f=%5Csqrt%7B256%7D%20%20%3D%2016)
so, solving for EP:
EO² = EP² + OP²
EP² = EO² - OP²
EP² = (34)² - (16)²
EP² = 1156 - 256 = 900
EP² = 900
EP =![\sqrt{900} = 30 \sqrt{900} = 30](https://tex.z-dn.net/?f=%5Csqrt%7B900%7D%20%20%3D%2030)
again:
EO = ET + TO = (y+7) + (2y -3) = (10+7) + [2(10)-3] = 34