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3 years ago

Pls help asap no trolls!!

Mathematics

1 answer:

marshall27 [118]3 years ago

7 0

Answer:

w= 1

x = 6

Step-by-step explanation:

Congruent Triangles

When two triangles are determined to be congruent, their side lengths and angles have the same measure.

We are given the condition that triangles FGH and ABC are congruent. This implies that sides FH and AC have the same measure, or, equivalently:

x + 12 = 18

Solving:

x = 18 - 12 = 6

x = 6

Similarly, sides HG and CB have the same length, thus:

w + 45 = 46

Solving:

w = 46 - 45 = 1

w= 1

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Answer:

Let pens be x and y be pencils

Let's solve now

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3 years ago

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Step-by-step explanation:

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3 years ago

Evaluate NM if possible.

Sedaia [141]

The MN matrix is $\left[\begin{array}{ccc}-2 & 1 & 0 \\17 & 2 & -3\\11 & 12 & -5\end{array}\right]\\$ .

What is matrix?

A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that is used to represent a mathematical object or an attribute of one. is a matrix having two rows and three columns, for instance.

Given $M=\left[\begin{array}{cc} 1 & 0 \\ -4 & 3 \\ 2 & 5 \end{array}\right]$

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

M is a matrix with 3 * 2 dimension and N is a matrix with 2 * 3 dimension.

So finding MN is possible and the dimension will be 3 * 3.

Now,

$MN=\left[\begin{array}{cc}1 & 0 \\-4 & 3 \\2 & 5\end{array}\right] \times \left[\begin{array}{ccc}-2 & 1 & 0 \\3 & 2 & -1\end{array}\right]\\= \left[\begin{array}{ccc}1 \times (-2)+0 \times 3 & 1 \times 1+0 \times 2 & 1 \times 0+0 \times (-1) \\(-2) \times (-4)+3 \times 3 & (-4) \times 1+3 \times 2 & (-4) \times 0+3 \times (-1) \\2 \times (-2)+5 \times 3 & 2 \times 1+5 \times 2 & 2 \times 0+5 \times (-1) \\\end{array}\right]\\$