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pashok25 [27]
3 years ago
5

The measure of the complement of an angle is 14 less than half the measure of its supplement. Find the angle.

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
4 0

Answer:

The angle is 28.

Step-by-step explanation:

If we consider the system below (were "A"is the angle):  

A   +  [(x/2)-14] = 90       (complement)

A   +   x   = 180                 (suplement)

We can isolate "X=180 - A"  and apply this in the first equation. This way we are able to have only one variable, and w'll see that A=28.

You might be interested in
How many, and what type of, solutions does 4x² + 12x + 9 = 0 have? 2 irrational solutions 1 rational solution 2 nonreal solution
SVEN [57.7K]

The discriminant is

\sqrt{ {12}^{2}  - 4(4)(9)}

which is 0.

Since the discriminant is 0, there is only one real solution.

4 0
4 years ago
The cost of riding in a cab is $3.00 plus $0.75 per mile. The equation that represents this relation is y = 0.75x +3, where x is
Gemiola [76]

Answer:

Yes, the relation is a function.

Step-by-step explanation:

Given:

The equation that represents the cost of riding a cab is given as:

y=0.75x+3

Where, 'x' is the number of miles traveled and 'y' is the the total cost of the trip.

The above equation represents a line as it is of the form y=mx+b which represents a line with constant slope.

Now, in order to plot this equation, we need at least two points.

Now, let x =0, then

y=0.75(0)+3=3. So, (0, 3) is a point on the line.

Let x =1, then

y=0.75(1)+3=3.75. So, (1, 3.75) is a point on the line.

Plot these two points on a graph and draw a line passing through these two points.

Now, for a relation to be a function, it should pass the vertical line test.

According to vertical line test, vertical lines passing through the graph must cut the graph at only 1 point for the graph to represent a function.

Here, we observe that vertical lines passing through the line will intersect the line only at one point. So, it represent a function.

8 0
3 years ago
Solve 7p - 4 + 12p = -3 (5 + p) Can you show the work please?
prisoha [69]
7p - 4 + 12p = -3(5 + p)
7p - 4 + 12p = -15 - 3p
        + 4              + 4
7p + 12p    = -11 - 3p
        + 3p                + 3p
22p             = -11

p = -1/2  Answer
7 0
3 years ago
Read 2 more answers
Evaluate 5x-\dfrac xy5x−
olga2289 [7]

Answer:

5x - (x/y) = 18 when x=4 and y=2

Step-by-step explanation:

5x - (x/y)

When x=4 and y=2

Substitute the value of x=4 and y=2 into the expression

5x - (x/y)

5(4) - (4/2)

Multiply 5 by 4 and divide 4 by 2

=20 - 2

Subtract 2 from 20

=18

5x - (x/y) = 18 when x=4 and y=2

7 0
3 years ago
PLZ HELP I WILL GIVE BRAINLIST
Basile [38]

Answer:  instead of X put 5 and instead of y put 2

5+6(2)

5+12= 17

6 0
3 years ago
Read 2 more answers
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