Ask question

Ask question

All categories

3 years ago

9

What is the value of x in the figure? Enter your answer in the box. x = Three lines creating six angles with the top left angle

having a square on it indicating a right angle, the top right angle labeled as sixty one degrees and the angle between them labeled as X degrees

2 answers:

Anestetic [448]3 years ago

7 0

Answer: The value of x is 29° .

Step-by-step explanation:

Since we have given that

There are six angles with the top left angle having a square on it indicating a right angle.

The top right angle labeled as = 61°

Angle between them labeled as = X°

Since the two angles that are formed is complementary angles.

According to question, it becomes,

$61^\circ+x^\circ=90^\circ\\\\x=90^\circ-61^\circ\\\\x=29^\circ$

Hence, the value of x is 29° .

Semmy [17]3 years ago

4 0

Three lines creating six angles

3 angles on top, 3 angles below

Since the top left angle is a right angle

It means the line that divides the top angles from the angles below is bisected by a perpendicular line.

This means the sum of the angles of the top left = 90°

Therefore, x + 61° = 90°

x = 90° – 61°

x = 29°

You might be interested in

Consider the following two ordered bases of R3:

grigory [225]

Answer:

Let $A = (a_1, ..., a_n)$ and $B = (b_1, ..., b_n)$ bases of V. The matrix of change from A to B is the matrix n×n whose columns are vectors columns of the coordinates of vectors $b_1, ..., b_n$ at base A.

The, we case correspond to find the coordinates of vectors of C,

$\{\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right], \left[\begin{array}{ccc}2\\0\\-1\end{array}\right], \left[\begin{array}{ccc}-3\\1\\2\end{array}\right] \}$

at base B.

1. We need to find $a,b,c\in\mathbb{R}$ such that

$\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]$

Then we find these values solving the linear system

$\left[\begin{array}{cccc}1&-2&2&2\\-1&2&-1&-1\\0&-1&1&-1\end{array}\right]$

Using rows operation we obtain the echelon form of the matrix

$\left[\begin{array}{cccc}1&-2&2&2\\0&-1&1&-1\\0&0&1&1\end{array}\right]$

now we use backward substitution

$c=1\\-b+c=-1,\; b=2\\a-2b+2c=2,\; a=4$

Then the coordinate vector of $\left[\begin{array}{ccc}2\\-1\\-1\end{array}\right]$ is $\left[\begin{array}{ccc}4\\2\\1\end{array}\right]$

2. We need to find $a,b,c\in\mathbb{R}$ such that

$\left[\begin{array}{ccc}2\\0\\-1\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]$

Then we find these values solving the linear system

$\left[\begin{array}{cccc}1&-2&2&2\\-1&2&-1&0\\0&-1&1&-1\end{array}\right]$

Using rows operation we obtain the echelon form of the matrix

$\left[\begin{array}{cccc}1&-2&2&2\\0&-1&1&-1\\0&0&1&2\end{array}\right]$

now we use backward substitution $c=2\\-b+c=-1,\; b=3\\a-2b+2c=2,\; a=4$

Then the coordinate vector of $\left[\begin{array}{ccc}2\\0\\-1\end{array}\right]$ is $\left[\begin{array}{ccc}4\\3\\2\end{array}\right]$

3. We need to find $a,b,c\in\mathbb{R}$ such that

$\left[\begin{array}{ccc}-3\\1\\2\end{array}\right]=a\left[\begin{array}{ccc}1\\-1\\0\end{array}\right]+b\left[\begin{array}{ccc}-2\\2\\-1\end{array}\right]+c\left[\begin{array}{ccc}2\\-1\\1\end{array}\right]$

Then we find these values solving the linear system

$\left[\begin{array}{cccc}1&-2&2&-3\\-1&2&-1&1\\0&-1&1&2\end{array}\right]$

Using rows operation we obtain the echelon form of the matrix

$\left[\begin{array}{cccc}1&-2&2&-3\\0&-1&1&2\\0&0&1&-2\end{array}\right]$

now we use backward substitution $c=-2\\-b+c=2,\; b=-4\\a-2b+2c=2,\; a=-2$

Then the coordinate vector of $\left[\begin{array}{ccc}-3\\1\\2\end{array}\right]$ is $\left[\begin{array}{ccc}-2\\-4\\-2\end{array}\right]$

Then the change of basis matrix from B to C is

$\left[\begin{array}{ccc}4&4&-2\\2&3&-4\\1&2&-2\end{array}\right]$

4 0

4 years ago

Can someone please explain this step by step on how to do it

luda_lava [24]

addition factors of 44 equivalent to a ratio of 4:7
4*3= 12
7*3= 21
12+21= 32
4*4= 16
4*7= 28
28+16= 44
This is one of those things that you just have to do a bunch of calculations to eliminate and identify by deductive reasoning.

6 0

3 years ago

There are two bags of marbles. Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange mar

enot [183]

A) 3/20 would be the answer

3 0

4 years ago

Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of the play area is 5.3 meters.

const2013 [10]

39.8 is the answer blah blah

7 0

3 years ago

Read 2 more answers

Fatima has 3 gallon of milk. She

tatiyna

Answer:

1/2 of a gallon

Step-by-step explanation:

3 divided by 6 is 1/2

6 0

3 years ago

Read 2 more answers