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3 years ago

PLEASE HELP ME WILL GIVE BRAINLIEST Find the value of x. 2x° 20°

Mathematics

1 answer:

mixas84 [53]3 years ago

6 0

This is a right triangle so the total angle is 90 degrees.
90 degrees - 20 degrees = 70 degrees, so 2x = 70
2x/2= 70/2
X= 35

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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

3 years ago

Which of the following is NOT a statistical question?

xeze [42]

D is not because you can not graph it.

4 0

2 years ago

For this exercise assume that all matrices are ntimesn. Each part of this exercise is an implication of the form "If "statement

inna [77]

Answer:

C. True; by the Invertible Matrix Theorem if the equation Ax=0 has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the n x n identity matrix.

Step-by-step explanation:

The Invertible matrix Theorem is a Theorem which gives a list of equivalent conditions for an n X n matrix to have an inverse. For the sake of this question, we would look at only the conditions needed to answer the question.

There is an n×n matrix C such that CA= $I_n$ .
There is an n×n matrix D such that AD= $I_n$ .
The equation Ax=0 has only the trivial solution x=0.
A is row-equivalent to the n×n identity matrix $I_n$ .
For each column vector b in $R^n$ , the equation Ax=b has a unique solution.
The columns of A span $R^n$ .

Therefore the statement:

If there is an n X n matrix D such that AD=I, then there is also an n X n matrix C such that CA = I is true by the conditions for invertibility of matrix:

The equation Ax=0 has only the trivial solution x=0.

A is row-equivalent to the n×n identity matrix $I_n$ .

The correct option is C.

5 0

3 years ago

PLEASE HELP QUICKLY,15 POINTS AND WILL

zepelin [54]

Answer:

x=26

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

(2x-5)° +(4x-1)° + 30° = 180

Combine like terms

6x +24 =180

Subtract 24 from each side

6x+24-24 =180-24

6x = 156

Divide by 6

6x/6 =156/6

x =26

7 0

3 years ago

The perimeter of a triangular window is 141 inches. The ratio of the side lengths of the window is 11:18:18. What are the side l

vaieri [72.5K]

The perimeter of a triangular window is the sum of its side lengths

The side lengths of the window are 33 inches, and 54 inches

<h3>How to determine the side lengths?</h3>

The ratio is given as:

Ratio = 11: 18 : 18

Rewrite as:

Ratio = 11x: 18x : 18x

Express as sum

Sum = 11x + 18x + 18x

Sum = 47x

The perimeter is 141 inches.

So, we have:

47x = 141

Divide both sides by 47

x = 3

Recall that:

Ratio = 11x: 18x : 18x

So, we have:

Ratio = 11*3: 18*3 : 18* 3

Ratio = 33: 54 : 54

Hence, the side lengths of the window are 33 inches, and 54 inches