An isosceles triangle has congruent base angles, so if one of the base angles measure 54 degrees, then the other base angle does, too.
And a triangle measures up to 180 degrees.
180 = x + 2(54)
180 = x + 108
x = 72
So the answer is B) 72

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3 years ago

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Center city has a population of twenty one thousand seventy people write the populationin standard form

Digiron [165]

It would be 21070

In standard form, 20000+1000+70

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3 years ago

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A passenger train and a freight train leave San Jose at 3PM, traveling in the same direction. The passenger train is going three

Liono4ka [1.6K]

Let's say that the speed of the freight train is $x$ and the one of the passenger train is $3x$ .

$x$ MPH means every hour the freight train covers $x$ miles., which means in 3h it will have covered 3 times as much: $3x$ mi.

Following the same logic, $3x$ MPH means every hour the passenger train covers $3x$ miles, meaning after 3h it will have covered 3 times as much as well: $9x$ mi.

Now, having expressed those distances and speeds algebraically, we find the difference between the two distances covered after 3h, knowing it will be equal to 240:

$9x-3x=6x\\6x=240\\x=240/6\\x=40$

Knowing this, we can surely affirm that the freight train is travelling at 40MPH and the passenger train is travelling three times as fast, 120MPH.

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4 years ago