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3 years ago

Find the size of the angle a. a=

Mathematics

1 answer:

miss Akunina [59]3 years ago

6 0

a=72

Step-by-step explanation:

2a+a+2a=360 (being complete turn )
5a=360
a=360/5
a=72

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X squared minus 25 equals 0

Yuri [45]

$x^2-25=0\\
x^2=25\\
x=\sqrt{25}\\ x=-5 \vee x=5$

or

$x^2-25=0\\
(x+5)(x-5)=0\\
x=-5 \vee x=5
$

7 0

4 years ago

In the diagram, angle abc is a right angle. Find the value of x<br><br> Show full working out pls ty

Vladimir79 [104]

Answer:

x = 3.75

Step-by-step explanation:

ABC is a right angled triangle.

Therefore, by Pythagoras theorem:

${(10 - x)}^{2} = {x}^{2} + {5}^{2} \\ 100 - 20x + {x}^{2} = {x}^{2} + 25 \\ 100 - 20x = 25 \\ - 20x = 25 - 100 \\ - 20x = - 75 \\ x = \frac{ - 75}{ - 20} \\ \: \: \huge \red { \boxed{x = 3.75}}$

5 0

3 years ago

Use quadrilateral ABCD to find the value of X. The figure is not drawn to scale. Use the following dimensions: mABC=4x, mBCD=3x,

Dmitrij [34]

Answer: x=30

Step-by-step explanation:

The sum of the angles must be 360.

4x+3x+3x+2x = 12x

12x = 360

x =360/12 = 30

5 0

3 years ago

Read 2 more answers

Adjoint of [1 0 2 -1] is

aliina [53]

The adjoint of the matrix $\left[\begin{array}{cc}1&0\\2&-1\end{array}\right]$ is $\left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]$

<h3>How to determine the adjoint?</h3>

The matrix is given as:

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

For a matrix A be represented as:

$A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

The adjoint is:

$Adj = \left[\begin{array}{cc}d&-b\\-c&a\end{array}\right]$

Using the above format, we have:

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

Hence, the adjoint of the matrix $\left[\begin{array}{cc}1&0\\2&-1\end{array}\right]$ is $\left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]$