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emmasim [6.3K]
3 years ago
11

What is the value of x in the figure?

Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0

Step-by-step explanation:

If there are two straight lines the opposite angles equal each other

so 4x+2=150

subtract both sides by 2

4x=148

divide both sides by 4

x=37

Hope that helps :)

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Answer:

228m

Step-by-step explanation:

Let's draw a rectangle ABCD, A being its bottom left point, B bottom right, C top right and D top left.

That is our soccer field. The player stands in the southeast corner, which is top right corner or, in our case point B. He passes the ball to the player in the opposite corner, which is corner D. He then passes the ball to the player in the southwest corner, which is corner A. And he finally passes it back to the player in the corner B.

So, the ball goes from B to D to A to B. That means that the ball went along the circumference of the triangle DAB.

So, to answer how long the ball travelled we need to find the circumference of the triangle. The circumference is the sum of its three sides. One side is the field's length (76m) and the othet is field's width (57m). We only need to find the triangle's hypotenuse, side BD, using Pythagoras theorem:

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BD = 95

So, the circumference of the triangle is 76+57+95=228m

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