Ann is training for a triathlon and needs to swim a certain distance for today's workout.
If she swims at the rec center pool, she will complete a 100-yard warmup and then swim laps
in a lane that is 40 yards long. If Ann swims at the indoor pool at her gym, she will complete
a 200-yard warmup, plus a main set that consists of 20 yards per lap. If Ann swims the
correct number of laps, she can complete the same distance in either pool. How many laps
will that take?
Write a system of equations, graph them, and type the solution.
Distance

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Ответ:

sony72

05.11.2020

Mathematics

We know that the sum of a straight line is 180° . So here there are 3 angles in a straight line . And the sum is 180° . So that ,

$\tt\to Sum_{(angles \ of \ a \ straight \ line)}= 180^o \\\\\tt \to 7x + 8x + 44.4^o = 180^o \\\\\tt\to 15x = 180^o - 44.4^o \\\\\tt\to 15x = 135.6^o \\\\\tt\to x =\dfrac{135.6^o}{15}\\\\\tt\to \boxed{\orange{\tt x = 9.04^{\circ} \approx 9^{\circ} }}$

So the measure of angle that is highlighted will be 8x = 8(9) = 72°

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