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masya89 [10]
3 years ago
6

Vasco needs to know the area of the four-pointed star

Mathematics
1 answer:
Rama09 [41]3 years ago
7 0

Answer:

Step-by-step explanation:

Find the area of the base

The base is a square.

The formula is Area = s^2

s = 1.5

Area = 1.5^2

Area = 2.25 sq cm.

Area of 1 triangle

h = 2.4

b = 1.5

Area = 1/2 * b * h

Area = 1/2 * 1.5 * 2.4

Area = 1.8 cm^2

Area of 4 triangles

Area = 4 * area of 1 triangle

Area = 4 * 1.8

Area = 7.2

Total Area = 2.25 + 7.2 = 9.45 cm^2

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Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

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To find the point of intersection, we need to solve the system of equations  and the result will be the point of intersection (x,y)

x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

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Answer:

The remaining 3 angles are 300 degrees

Step-by-step explanation:

The sum of the interior angles of a parallelogram is 360 degrees

We know one angle is 60

360 -60 = 300

The remaining 3 angles are 300 degrees

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