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Mathematics

2 answers:

aalyn [17]3 years ago

8 0

The question reminds you of all the tools you need:

It says ...

"Opposite angles are equal."
So the upper right angle is x+40 just like the bottom left,
and the bottom right angle is 3x+20 just like the upper left.

And it says ...

"The sum of all angles is 360°."
You know what each of the four angles is, so you can addum all up,
set the sum equal to 360, find out what number ' x ' is, and then
use that to find the size of every angle.

padilas [110]3 years ago

5 0

Solve for x in the equation 2(x+40)+2(3x+20)=360 and then plug x value back in for each angle, x=40 therefore, top angle=110 and bottom=70

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leonid [27]

Set up a system of equations and say green route is x and blue route is y

This will give you
Monday 6x + 5y= 52
Tuesday 12x + 13y = 119

Solve by multiplying the top equation by two to get
12x + 10y= 104

Since you have 12x in both equations, these cancel out when you subtract the bottom from the top. This leaves you with

-3y=-15
Y=5

The blue route is 5 miles, but they want to know the green route. Fill in the y value in either one of your equations. Let’s use the one from Tuesday

12x + 13 (5) = 119
12x= 54
X= 4.5

This means that the answer is B, 4.5 miles

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Kobotan [32]

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3 years ago

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Vikki [24]

There is only one property used to determine whether

$4r+4t=4(r+t)$ .

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