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iris [78.8K]
3 years ago
10

As shown in figure

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Mathematics
1 answer:
Ber [7]3 years ago
7 0

Answer:

12. \sqrt{3}(2+\sqrt{6} )

13. 9√2

Step-by-step explanation:

12. 4√3-√12+√18

4√3-2√3+√18

2√3+√18

\sqrt{3}(2+\sqrt{6} )

13.(2√12-3√1/3)√6

(4√3 - 3√(1/3))√6

4√18 - 3√(6/3)

12√2-3√2

9√2

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Find the measure of angle x in the figure below: A.) 65° B.) 70° C.) 110° D.) 125°
Grace [21]

Answer: 70ᴼ

Step-by-step explanation:

The triangles are vertical so their angle measures are congruent.

The angles of a triangle add to equal 180ᴼ.

55 + 55 = 110

180 - 110 = 70

7 0
3 years ago
Select the correct answer. Which matrix represents this system of equations? -2y + 7z = 10 9x + 5y = 1 2x + z = -5
Stells [14]

Answer:

In matrix form this can be represented as

\left[\begin{array}{ccc}0&-2&7\\0&5&0\\2&0&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}10\\1\\5\end{array}\right]



Step-by-step explanation:

The given equations are

-2y + 7z = 10

9x + 5y = 1

2x + z = -5

Which can be written as

0x+-2y + 7z = 10

9x + 5y+0z = 1

2x +0y+ z = -5

In matrix form this can be represented as

\left[\begin{array}{ccc}0&-2&7\\0&5&0\\2&0&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}10\\1\\5\end{array}\right]



When we multiply the above matrices we get the given set of equations.

In multiplying the matrices we check the no of columns of the first matrix and the number of rows of the second matrix. If they are equal ( as in this case they are 3) then the matrices can be multiplied .

The answer has the number of rows equal to the number of rows of the first matrix and the number of columns equal to the number of columns of the second matrix which is true in this case.

4 0
3 years ago
Find the slope of each line y=9/5x+5
Montano1993 [528]
Y = Mx + b
M = slope
Given that, the slope is 9/5
7 0
3 years ago
Which of the following expressions with absolute values is neither positive nor negative? ||1|| |−1| |−1 - 1| |−3 + 3|
Dovator [93]
-3+3 because it is equal to zero, and zero is not positive nor negative. All absolute values are positive unless the number is zero.
5 0
3 years ago
The perimeter of a rectangle is 22m. The length of the rectangle is 1 m less than three times the width Give me an equation and
aivan3 [116]
22/2=11( sum of both lengths)

4x-1=11
4x=12
x=3

length=8
width=3
8 0
4 years ago
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