3 years ago

Consider the figure shown. what is the measure of the given angles?

Mathematics

1 answer:

Mars2501 [29]3 years ago

7 0

Step-by-step explanation:

180°=46° +2x=> 2x=134°=>x=67°

x+y=180°=>y=180° -x=>y= 180°-67°=>y=113°

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3 years ago

Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in

Thepotemich [5.8K]

Answer:

34 mph.

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.

Now we will use formula $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ . Upon using our given information we will get two equation and two unknowns as:

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Upon multiplying both sides of our equation by 5 we will get,

$5(\frac{y}{5}+16)=420-y$

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$y+80+y=420-y+y$

$2y+80=420$

$2y=420-80$

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$y=\frac{340}{2}$

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Upon substituting y=170 in 2nd equation we will get,

$x=\frac{170}{5}$

$x=34$

Therefore, Charlene's speed is 34 miles per hour.

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Step-by-step explanation:

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