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inn [45]
3 years ago
12

If a 67 degree angle is complementary to angle Q, what is the measure of angle Q?

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
8 0

Answer:

23°

Step-by-step explanation:

Complementary angles add up to 90°

67 + X = 90

X = 90 - 67

X = 23°

Vikentia [17]3 years ago
4 0

Answer:

Q = 23

Step-by-step explanation:

Complementary angles add to 90 degrees

67+Q =90

Subtract 67 from each side

67+Q -67 = 90-67

Q = 23

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Please help me solve the system of equations.
Iteru [2.4K]

Answer: (-2, 0) and  (0, -2)

Step-by-step explanation:

This system is:

y + x = -2

y = (x + 1)^2 - 3

To solve this we first need to isolate one of the variables in one fo the equations, in the second equation we have already isolated the variable y, so we can just replace it in the first equation:

(x + 1)^2 - 3  + x = -2

Now we can solve this for x.

x^2 + 2*x + 1 - 3 = -2

x^2 + 2*x + 1 -3 + 2 = 0

x^2 + 2*x + 0 = 0

The solutions of this equation are given by the Bhaskara's formula, then the solutions are:

x = \frac{-2 +- \sqrt{2^2 -4*1*0} }{2*1} = \frac{-2 +- 2}{2}

The two solutions are:

x = (-2 - 2)/2 = -2

In this case, we replace this value of x in the first equation and get:

y - 2 = -2

y = -2 + 2 = 4

This solution is x = -2, y = 0, or (-2, 0)

The other solution for x is:

x = (-2 + 2)/2 = 0

If we replace this in the first equation we get:

y + 0 = -2

y = -2

This solution is x = 0, y = -2, or (0, -2)

7 0
3 years ago
The cable company charges a monthly fee of $45.each movie rental is $1.99.yoi owe $68.88.how many movies did you rent
Olenka [21]
You rented 12 movies ( 68.88 - 45.00 = 23.88 then divide 23.88 by 1.99 to get 12)
8 0
4 years ago
In a survey of 2,500 people who owned a certain type of​ car, 750 said they would buy that type of car again. What percent of th
mariarad [96]

Answer:

30%

Step-by-step explanation:

Simply divide your final value (750) by your initial value (2500).

6 0
3 years ago
Descriptive statistics are techniques for describing and summarizing data, whereas inferential statistics are techniques for obt
WITCHER [35]

Answer:

True

Step-by-step explanation:

Descriptive statistics gives certain information about the data that helps us understand it better. For example, If you have a data set containing the number of customers that visit a shopping mall per day, the proportion of male customers or the average number of customers over period of time are some examples of descriptive statistics.

Inferential statistics uses sample data from a larger population to make certain inferences and draw conclusions about that population based on some standard procedures. Some examples of methods in inferential statistics are, Confidence intervals, Hypothesis Testing and Regression analysis

4 0
3 years ago
Use the quadratic formula to determine the exact solutions to the equation <br> 6x^2 + 4x - 3 = 0
mezya [45]
To solve quadratics, the most correct and effective way, in my opinion, is the quadratic formula:

{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}.}<span><span>

Plugging it in, we get:

</span></span>\frac{-4\pm \sqrt{16+72} }{12}  =  \frac{-4\pm 2\sqrt{22}}{12} =  \frac{-2\pm \sqrt{22} }{6}

So the final answer is:

\frac{ \sqrt{22}-2 }{6} and \frac{-2- \sqrt{22} }{6}
5 0
3 years ago
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