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maks197457 [2]
4 years ago
8

In a parallelogram one side is 5x-4 and the consecutive side 2x+3.If the perimeter is 166cm,find the lengths of the sides.

Mathematics
1 answer:
evablogger [386]4 years ago
4 0

Answer:

5x - 4 = 56

2x + 3 = 27

Step-by-step explanation:

2(5x - 4 + 2x + 3) = 166

10x - 8 + 4x + 6 = 166

14x - 2 = 166

     + 2     +2

14x = 168

divide both sides of the equal sign by 14

12

5(12) - 4 = 60 - 4 = 56

2(12) + 3 = 24 + 3 = 27

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A circular hedge surrounds a sculpture on a square base. The radius of the hedge is 6x. The side length of the square sculpture
andrey2020 [161]
Hi, thank you for posting your question here at Brainly.

Since the hedge is surrounding the square base, the area of the base can be determined by subtracting the area of the base from the hedge.

A = pi*r^2 - (4x)^2
A = pi*(6x)^2 - (4x)^2
A = 2x^2*(3pi - 2)

I hope I was able to answer your question. Have a good day.
6 0
3 years ago
Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)
zubka84 [21]

Parameterize the line segments (call them C_1 and C_2, respectively, by

\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)

\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)

both with 0\le t\le1. Then

\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy

=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt

=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}

6 0
3 years ago
The interior ages of a triangle have measure
Nina [5.8K]

Answer:

See below in bold.

Step-by-step explanation:

1. The 3 angles in a triangle add up to 180 degrees.

So x = 180 - (55 + 25)

= 180 - 80

= 100 degrees.

2.  The 4 angles in a quadrilateral add up to 360 degrees,, so

3x + 127 + 54 + 119 = 360

3x + 300 = 360

3x = 360 - 300

3x = 60

x = 20 degrees.

3. Exterior angle

= 94 + 42

= 136 degrees.

3 0
4 years ago
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6 0
3 years ago
Please answer this correctly
sineoko [7]

Answer:

Chicken: 36%

Beef: 34%

Black Bean: 30%

<em>Hope this helps!</em>

8 0
3 years ago
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