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Marina86 [1]
2 years ago
9

Please help, thank you

Mathematics
1 answer:
grandymaker [24]2 years ago
7 0

Answer:

x = 20

Step-by-step explanation:

The angles that are marked are called "vertical angles" (I think of a pair of scissors) The two angles are equal to each other. (They get bigger or smaller together, like a pair of scissors)

So, set them equal to each other and solve.

3x + 50 = 6x - 10

SUBTRACT 3x from both sides.

50 = 3x - 10

ADD 10 to both sides.

60 = 3x

DIVIDE both sides by 3.

20 = x

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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?
MAVERICK [17]

Answer:  The correct option is

(E) 70.

Step-by-step explanation:  We are given to find the number of  triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.

Therefore, the total number of triangles and quadrilaterals is

n=n_t+n_q=35+35=70.

Thus, option (E) is CORRECT.

8 0
3 years ago
pat has a 10-centimeter length of string she is going to use to measure a small square table. the length she measures is 5 strin
AlladinOne [14]


5 x 10 is how you get the answer


6 0
3 years ago
Read 2 more answers
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