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3 years ago

How to find the value of x in a triangle (5x-11)°, (2x+20)°, (11x-63)°

2 answers:

6 0

Answer:
x=13

Explanation:
All the angles in a triangle add up to 180 degrees, and this is true for every and any triangle. Knowing this, we can set up this equation and solve:

(5x-11)+(2x+20)+(11x-63)=180
1) Open up parentheses
5x-11+2x+20+11x-63=180
2) Combine like terms
5x+2x+11x-11+20-63=180
18x-54=180
3) Add both sides by 54
18x-54+54=180+54
18x=234
4) Divide both sides by 18
18x/18=234/18
x=13

I hope this helps!

asambeis [7]3 years ago

3 0

Answer:

x=13

Step-by-step explanation:

Well, the triangle is always equal to 180 degrees in total. Lets remember that x will always be the same in every equation.

So, (5x-11) x (2x+20) x (11x-63) = 180.

Now, take away the parenthesis and add up all the like terms.

This should = 18x-54 = 180.

Now solve like you regularly would. Add 54 on both sides which equals,

18x=234. Now, divide 18 on both sides.

x = 13.

Hope this helps.

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Kailey and Macy paddle a canoe at a rate of 6 miles per hour in still water. They travel downstream for 10 miles, and to their d

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Answer:3.79

Step-by-step by awnser:

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2 years ago

Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Fi

Shtirlitz [24]

Answer:

$Area = 49\frac{25}{36}$

Step-by-step explanation:

Given

Tile

$Length = 4\frac{5}{6}$

$Width = 2\frac{1}{3}$

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

$Length = 12\frac{1}{4}$

$Width = 5$

Calculate Area

$Area = Length * Width$

$Area = 12\frac{1}{4} * 5$

$Area = 61\frac{1}{4}$

The area of the tiles is:

$Area = 4\frac{5}{6} * 2\frac{1}{3}$

$Area = \frac{29}{6} * \frac{7}{3}$

$Area = \frac{203}{18}$

$Area = 11\frac{5}{18}$

So, the carpet area is:

$Area = Floor\ Area - Tile\ Area$

$Area = 61\frac{1}{4} - 11\frac{5}{18}$

To improper number

$Area = \frac{245}{4} - \frac{208}{18}$

Take LCM

$Area = \frac{2205 - 416}{36}$

$Area = \frac{1789}{36}$

$Area = 49\frac{25}{36}$

7 0

2 years ago

In the right triangle below, tanA = 0.45. What is the approximate length of AB?

garik1379 [7]

In the right triangle ABC wherein AB is the hypotenuse, BC is the opposite and CA is the adjacent tanA=0.45. The approximate length of AB which is the hypotenuse is 22, Opposite (BC) is 9 and Adjacent (CA) is 20. You need to use pythagorean formula in getting the length of AB.

YOUR ANSWER IS (22).

6 0

3 years ago

Read 2 more answers

Find the surface area of the composite solid.

Dvinal [7]

Answer:

281 ft^2

Step-by-step explanation:

We need to add each individual 2d shape together to find the surface area

Bottom: 5*12 = 60

Left side and right side: 4*5 = 20, 2 sides so 20*2= 40

Side facing us and side facing away from us: 12*4 = 48, 2 sides so 48*2=96

Top side that is cut by base of triangle: 7*5 = 35

Each triangle face: base = 5 (12-7), height = 5 1/2base * height so each triangle is .5*5*5 = 12.5; 4 triangles so 12.5*4=50

60+40+96+35+50=281

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2 years ago

Read 2 more answers

A parabola has a vertex of (5,4) and goes through the point (6,-10)

natali 33 [55]

Y = -2(x-5)^2 + 4

Note: vertex form is 0, f(x), y, or nothing= a(x-h)^2 + k
The opposite of the x value of the vertex is h
The y value value of the vertex is k.

Find a. Plug in (6,-10)

-10 = a(6-5)^2 + 4
-10 = 1a + 4
-10 = 5a
a = -2

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3 years ago