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IrinaK [193]
2 years ago
13

The sum of the measures of the interior angles of a quadrilateral is 360°. If the acute interior angle of the figure measures 75

°, what does the obtuse interior angle measure?
Mathematics
1 answer:
quester [9]2 years ago
3 0
The sum of the interior angles of a quadrilateral is 4 Right Angles or 360 Degrees.

Hope this helps
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A certain bookstore chain has two stores, one in San Francisco and one in Los Angeles. It stocks three kinds of books: hardcover
riadik2000 [5.3K]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

(a)

\left[\begin{array}{cccc}T&H&S&P\\S&600&1300&2000\\L&400&300&400\end{array}\right] = A.

In the above matrix A, the columns refers the three type of books and the rows refers the from which stores the books are been sold.

The numbers represents the corresponding sales in the month of January.

The sale is same for the 6 months.

Hence, 6A = \left[\begin{array}{cccc}T&H&S&P\\S&3600&7800&12000\\L&2400&1800&2400\end{array}\right]. This matrix 6A represents the total sales over the 6 months.

(b)

If we denote the books in stock at the starting of January by B, then

B = \left[\begin{array}{cccc}T&H&S&P\\S&1000&3000&6000\\L&1000&6000&3000\end{array}\right].

Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 500 hardcover, 500 softcover, and 500 plastic books to Los Angeles.

If we represent the amount restocked books at the end of each month by another matrix C, then

C = \left[\begin{array}{cccc}T&H&S&P\\S&500&1400&1400\\L&500&500&500\end{array}\right].

This restocking will be done for 5 times before the end of June.

If there would be no sale, then the stock would be

B + 5C = \left[\begin{array}{cccc}T&H&S&P\\S&1000+2500&3000+7000&6000+7000\\L&1000+2500&6000+2500&3000+2500\end{array}\right] \\= \left[\begin{array}{cccc}T&H&S&P\\S&3500&10000&13000\\L&3500&8500&5500\end{array}\right].

Since, the total sale is given by 6A, at the end of June, the inventory in each store can be shown as following,

B+5C-6A \left[\begin{array}{cccc}T&H&S&P\\S&3500&10000&13000\\L&3500&8500&5500\end{array}\right] - \left[\begin{array}{cccc}T&H&S&P\\S&3600&7800&12000\\L&2400&1800&2400\end{array}\right] \\= \left[\begin{array}{cccc}T&H&S&P\\S&-100&2200&1000\\L&1100&6700&3100\end{array}\right]

6 0
3 years ago
Factorise completely (2x+1)^2 -(x-1)^2
Vladimir79 [104]
Use photomath ! It's an app that gives you the answer with the explanation and it shows you how it got to the answer !
5 0
2 years ago
Can anyone help?............
sertanlavr [38]

Answer:

52+46

Step-by-step explanation:

3 0
3 years ago
Solve the system of equations using substitution
Sauron [17]

y = −2x + 1

4x + 2y = −1

Replace Y in the second equation with the value of Y in the first one.

4x + 2(-2x +1) = -1

Distributive Property:

4x + -4x + 2 = -1

Combine like terms:

2 = -1 which is not true, so there are no solutions.

4 0
3 years ago
Read 2 more answers
What will be the multipicative inverse of 2/3?
Eddi Din [679]

Answer:

3/2

Step-by-step explanation:

The multiplicative inverse also known as reciprocal implies it is something that is the opposite.

The given value is 2/3, so the opposite would just mean you flip the numerator and denominator. Thus, the reciprocal of 2/3 is 3/2.

8 0
2 years ago
Read 2 more answers
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