Just did this one.
The perimeter is the sum of the sides.
n + (3n - 4) + (3n - 5) = 33
7n - 9 = 33
7n = 42
n = 6
3n-4=18-4=14
3n-5=13
Check: 6+14+13=33, good
Answer: 6 cm, 14 cm, 13 cm
Simple, use the process of elimination to figure this out:
4x-y=2
2x+9y=-12
Convert these, to be able to find either x or y.
2(4x-y=2) 8x-2y=4 multiply by 2.
then
4(2x+9y=-12) 8x+36y=-48
Which makes them
8x-2y=4
-
8x+36y=-48
-38y=52
This simplified makes it y= -26/19.
Then plug y back into the original equation
4x-y=2
4x-(-26/19)=2
Making it x= 3/19.
Thus your Point of Intersection is at (3/19, -26/19)
The coordinate of the partition c on the line segment is (1.2, -4.7)
<h3>How to determine the coordinates of the partition?</h3>
The coordinates are given as:
A = (7,-2)
B = (-8,-9)
m:n = 5:8
The coordinate of the partition is calculated using:
So, we have:
Evaluate the sum and products
Evaluate the product
(x,y) = (1.2, -4.7)
Hence, the coordinate of the partition on the line segment is (1.2, -4.7)
Read more about line segment ratios at:
brainly.com/question/12959377
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The correct answer is 2.5 cm
Explanation:
In any polygon, the area refers to the total space occupied by the polygon. In the case of triangles, the area can be calculated by multiplying the base and height and then dividing the by 2. This means b x h / 2 = area of a triangle. According to this, the area of the triangle presented is 15
5 cm (base) x 6 cm (height) = 30 cm
30 cm / 2 = 15 cm (total area)
This also means the area of the rectangle is 15 considering both figures have the same area. Additionally, the area in rectangles is calculated by multiplying the length base by the width. This implies in the case presented 6 cm x w cm = 15 cm (total area), and you can determine the value of w by using a simple equation as
6 x w = 15
w = 15 / 6
w = 2.5
Also, you can know this is the correct value because 6 cm (length) x 2.5 (width) = 15 cm which is the correct area
