2 years ago

Help me with this pls

Mathematics

2 answers:

kozerog [31]2 years ago

8 0

Answer:

x=2 y=17

Step-by-step explanation:

53/17 17x3 = 51 53-51 3 + 1/ x + 1/y

Marat540 [252]2 years ago

7 0

Answer:

$x+y = 10$

Step-by-step explanation:

$~~~\dfrac{53}{17}\\\\\\=3 \dfrac{2}{17}\\\\\\=3+ \dfrac{2}{17}\\\\\\=3+\dfrac{1}{\tfrac{17}2}\\\\\\=3+\dfrac{1}{8\tfrac 12 }\\\\\\=3+ \dfrac{1}{8+ \dfrac 12 }\\\\\\\text{By comparing with}~ 3 + \dfrac 1{x + \tfrac 1y},~ \text{we get}~ x = 8~ \text{and}~ y = 2.\\\\\text{Hence,}~ x +y = 8+2 =10.$

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Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. FInd the measure of each angle.

garik1379 [7]

$\text{Larger angle} =x\\\\\text{Smaller angle} =y\\ \\\text{According to the condition,}\\\\x=10y+15\\\\\text{The two angles are supplementary, so their sum is}~ 180^{\circ} \\\\x+y=180\\\\\implies 10y+15 +y = 180\\\\\implies 11y = 180-15\\\\\implies 11y=165\\\\\implies y = \dfrac{165}{11}\\\\\implies y = 15\\\\\text{So,} ~x =180-15 = 165\\\\\text{Hence the larger angle is}~ 165^{\circ}~ \text{and the smaller angle is }15^{\circ}$