All categories

2 years ago

Two complementary angles have measures 4x and x + 50. Find x.

Mathematics

1 answer:

Inessa05 [86]2 years ago

5 0

Answer:

x =17

Step-by-step explanation:

Complementary angles add to 90

4x+ x+5 = 90

Combine like terms

5x+5 = 90

Subtract 5 from each side

5x+5-5 = 90-5

5x = 85

Divide by 5

5x/5 = 85/5

x =17

You might be interested in

Y=-3x+5 5x - 4y= -3 solvining systems of equations by substitution

andreyandreev [35.5K]

$\left\{\begin{array}{ccc}y=-3x+5\\5x-4y=-3\end{array}\right\\\\\\substitute\\\\5x-4(-3x+5)=-3\\5x+12x-20=-3\\17x-20=-3\\17x=-3+20\\17x=17\ \ \ \ /:17\\x=1\\\\y=-3\cdot1+5=-3+5=2\\\\ \left\{\begin{array}{ccc}x=1\\y=2\end{array}\right$

4 0

2 years ago

The number of violent crimes committed in a day possesses a distribution with a mean of 2.3 crimes per day and a standard deviat

marusya05 [52]

Answer:

B) approximately normal with mean 2.3 and standard deviation 2

Step-by-step explanation:

Given the following :

Mean crimes per day = 2.3

Standard deviation = 2

Number of samples = 100

Sampling distribution of the mean:

According to the central limit theorem:

Sample mean = population mean

2.3 = 2.3

The standard deviation of the sample (s) : ratio of the population standard deviation and square root of the sample size.

s = population standard deviation / √sample size

s = 2 / √100

s = 2 / 10

s = 0.2

The central limit theorem also posits that once ths sample size is large enough, the sampling of the sample mean will be approximately normal.

Hence, the distribution is approximately normal, with mean of 2.3 and standard deviation of 0.2

7 0

2 years ago

What is the domain of the following function: f ( x ) = √ x + 4/ x − 2

Tju [1.3M]

Answer:

(-∞,+∞) interval notation

it is not clear if the square root on the x only or the four too.

the answer above is if the equation is :

√x +4/x -2

5 0

2 years ago

Factor completely:<br>64 - y^3

madam [21]

From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is $4^{3}$ , and $y^{3}$ .

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are $a^{3}$ and $b^{3}$ . The difference of those two cubes is:
$a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})$

In our problem, a = 4 (since $a^{3}$ = 64) and b = y (since $b^{3} = y^{3}$ . Plug these values into the rule to find the factor of $64 - y^3$ :
$64 - y^3 \\
= (4 - y)( 4^{2} + 4y + y^{2}) \\
= (4 - y)( 16 + 4y + y^{2})$

-----

Answer: $(4 - y)( 16 + 4y + y^{2})$

8 0

2 years ago

Find the area of a circle with radius 5mm, rounded to the nearest tenth. A. 15.7mm2 B. 31.4mm2 C. 78.5mm2 D. 246.7mm2

icang [17]

1. The Formula to getting the area of a circle is pi r^2= 3.14 times the radius squared. Plug in the number given in the question to get your answer.
2. The Circumference formula is 2pir which is 2 time 3.14 times the radius given. Plug in the number to get your answer.
3. This one is giving you the diameter, therefore you need to divide the diameter by 2 to get the radius (diameter is twice the size of radius) and plug in the radius into the first formula (3.14 times r^2) to get your answer.

8 0

2 years ago