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mario62 [17]
3 years ago
6

What is the measure of angle K in degrees?

Mathematics
2 answers:
maxonik [38]3 years ago
5 0
The measure is 30° degrees
Art [367]3 years ago
4 0

Answer:

74.5

Step-by-step explanation:

the angle sum of a triangle is equal to 180. With that, we now add 32.5 and 73 which gives me 105.5. Now we subtract 180-105.5= 74.5 degrees.

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Line AB contains points A (4,5) and B(9,7). What is the slope of AB
ki77a [65]
This line crosses the point (4,5)so we can make an equation to find the slope:
4 = a \times 5 \\ 4 = 5a \\  a =  \frac{4}{5}
hope this helps

8 0
3 years ago
Read 2 more answers
The graph shows the result of a matrix transformation, where the pre-image has dashed lines Which matrix operation is represente
diamong [38]

The <em>matrix operation</em> is the <em>addition subtraction </em>and <em>multiplication </em>involving matrices.  The coordinates of the <em>image </em>can be represented as a matrix obtained from the coordinates of the <em>preimage </em>through matrix operations

The best correct option is<u> option D)</u>,<em> (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows</em>:

\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]

The reason the above matrix value for the matrix operation are correct are as follows:

Known parameters:

From the diagram, we have that the <em>coordinates</em> of the vertices of the preimage are;

(2, -5), (3, -7), (9, -3), and (7, -7)

The <em>coordinates </em>of the vertices of the image are;

(2, 5), (3, 7), (9, 3), and (7, 7)

Required:

The matrix operation for the transformation of the preimage points to the image points

Solution:

The transformation from the coordinates of the vertices of primage to the  vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by <em>multiplying by</em> (-1)

Therefore, the required matrix operation is presented as follows:

\mathbf{\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]} =\left[\begin{array}{rrrr}9&7&3&2\\3&7&7&5\end{array}\right]

Therefore, the <em>best correct</em> option is option D)

Learn more about matrix operations here:

brainly.com/question/17141646

3 0
3 years ago
The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $487.50
Drupady [299]

The company picnic cost $ 1300 for 80 employees

<em><u>Solution:</u></em>

Given that cost of a company picnic varies directly as the number of employees attending the picnic

Let "c" be the company picnic cost

Let "n" be the number of employees attending the picnic

Therefore,

cost \propto \text{ number of employees attending picnic }

c \propto n\\\\c = kn

Where "k" is the constant of proportionality

c = kn ---------- eqn 1

<em><u>Given that company picnic costs $487.50 for 30 employees</u></em>

Therefore substitute c = 487.50 and n = 30

487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25

<em><u>How much does a company picnic cost for 80 employees?</u></em>

Substitute n = 80 and k = 16.25 in eqn 1

c = 16.25(80) = 1300

Thus $ 1300 is the cost for 80 employees

5 0
3 years ago
Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amo
sveticcg [70]

The options aren't given, however, the range of amount spent could be calculated

Answer:

Kindly check explanation

Step-by-step explanation:

Paula purchase 3 dvd and 7 cds and spent between 90 and 100. Each dvd costs the same amount the price of cd is 10 select all amounts that could be the price of the dvd

Given that :

DVD costs the same amount

Number of DVD's = 3

Cost of cds = 10

Number of cds = 7

Total cost of cd's = 10 * 7 = 70

Let the price of DVD = x

Total amount spent = 90 - 100

Lowest price of DVD :

(amount spent - price of cd) / number of dvd

(90 - 70) / 3 = 20 /3 = 6.667

Highest price :

(100 - 70) / 3 = 30 / 3 = 10

Hence the pice of each DVD will range between /

6.6666 and 10.

Hence, prices listed within the range above are possible.

3 0
3 years ago
Which geometric figure contains exactly two perpendicular lines
Leviafan [203]

Answer:

Like a square, a rectangle has lines that are perpendicular to two other lines. This means it also has four right angles.

Step-by-step explanation:

4 0
3 years ago
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