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3 years ago

What is the missing angle measure of 112 68 50

Mathematics

2 answers:

IrinaK [193]3 years ago

6 0

I'm pretty sure it is 130

serious [3.7K]3 years ago

5 0

It's 130, any quadrilateral's angles add up to 360 and those numbers add up to 230, 360-230 = 130

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Find the inverse of ????−7 −2

Masja [62]

Answer:

$A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

Step-by-step explanation:

$A=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}$

$det\ A=-7\times 1-(-2)\times 4\\\Rightarrow det\ A=1$

$A^{-1}=\frac{1}{det\ A}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\frac{1}{1}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

$\therefore A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

$A.A^{-1}=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}\times \begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}\left(-7\right)\cdot \:1+\left(-2\right)\left(-4\right)&\left(-7\right)\cdot \:2+\left(-2\right)\left(-7\right)\\ 4\cdot \:1+1\cdot \left(-4\right)&4\cdot \:2+1\cdot \left(-7\right)\end{pmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}1&0\\ 0&1\end{pmatrix}$

Hence, confirmed

6 0

4 years ago

Aaron, Darren, Karen, Maren, and Sharon rode on a small train that has five cars that seat one person each. Maren sat in the las

Aleks04 [339]

Answer:

Sharon

Step-by-step explanation:

The given parameters are;

The number of persons that rode on the small train = 5

The number of cars in the train = 5

The position Maren sat = Last car

The position Aaron sat = Directly behind Sharon

The position Darren sat = In one of the cars in front of Aaron

The position of one of the members = Between Karen and Darren

The given seating arrangement is as follows;

Maren → Aaron → Sharon → Darren → Karen

Therefore, the person who sat in the middle car is Sharon.

7 0

3 years ago

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nataly862011 [7]

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4 0

2 years ago

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GaryK [48]

A would be the correct ans

4 0

4 years ago

A children's pony ride at a zoo has ponies attached to a carousel pole in the center of a circle that the ponies walk around as

stepladder [879]

We simply need to solve for the circumference of the imaginary circle.

Given:
Diameter = 25 feet.

Circumference = 2 * radius * π OR Circumference = diameter * π

C = 25feet * 3.14
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The pony will walk 78.50 feet to complete one trip around the circle.

3 0

3 years ago