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2 years ago

17) The measures of two sides of a triangle are (2x + 3y) and (5x – 2y). If the perimeter

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

4 0

Answer:

5x +4y

Step-by-step explanation:

The perimeter of a triangle is the sum of side lengths. That fact can be used to find z, the length of the third side.

(2x +3y) +(5x -2y) +z = 12x +5y . . . . sum of sides is perimeter

z = (12x +5y) -(7x +y) . . . . . . . . . . . . subtract (7x+y) from both sides

z = 5x +4y . . . . . . . . . collect terms; the length of the third side

The third side of the triangle is (5x +4y).

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Steps for showing percent of 2028÷30%

4vir4ik [10]

2028/x=100/30
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2028=3.3333333333333*x we divide both sides of the equation by (3.3333333333333) to get x
2028/3.3333333333333=x 
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6 0

3 years ago

Read 2 more answers

The coordinates of the endpoints of directed line sergeant ABC are A(-8,7) and C(7,-13). If AB:BC = 3:2 then the coordinates of

cestrela7 [59]

The correct answer is A) (1,-5)

Further explanation:

Given points are:

A(-8,7)=(x1,y1)

C(7,13)=(x2,y2)

IT is also given that

AB:BC=3:2

Which means that B divides the line segment in 3:2

Here,

m=3

n=2

To find the coordinates of B

$x_B=\frac{mx_2+nx_1}{m+n}\\ = \frac{(3)(7)+(2)(-8)}{3+2}\\=\frac{21-16}{5}\\=\frac{5}{5}\\=1\\y_B=\frac{my_2+ny_1}{m+n}\\=\frac{(3)(-13)+(2)(7)}{3+2}\\=\frac{-39+14}{5}\\=\frac{-25}{5}\\=-5$

The coordinates of point B are (1,-5)

The correct answer is A) (1,-5)

Keywords: Coordinate geometry, mid-point

Learn more about coordinate geometry at:

#learnwithBrainly

7 0

3 years ago

Sort each description of data into the appropriate category.

Alex787 [66]

Answer:

Step-by-step explanation:

Qualitative:

Eye colour

Grade level

favourite music group

Quantitive:

Capacity in litres

Height in inches

Number of siblings

6 0

3 years ago

Read 2 more answers

PLSSS HELPPP DUE SOON ILL GIVE BRAINLESS

Kitty [74]

Answer:

Step-by-step explanation:

A, B, and C are not linear functions

D would be y=x/2

If you graphed y=x/2, you would get the points (4, 2), (7, 3.5), (8, 4), and (10, 5)

It's more obvious if you notice that y is half of x.

3 0

2 years ago

4. If you toss a fair coin 10 times and get heads each time, what is the probability that it will

svlad2 [7]

There’s a 5% chance

8 0

3 years ago