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2 years ago

the painted lines that separate parking spaces are parallel. The measure of amgle 1 is 60. what us the measure of angle 2

Mathematics

2 answers:

Serggg [28]2 years ago

8 0

Answer:

Step-by-step explanation:

they are parallel, so they are equal, exactly side by side.

so if one angle is 60 and is the one next to it is the same angle its 60

erastovalidia [21]2 years ago

6 0

Answer:

60 degrees

Step-by-step explanation:

Angles 1 and 2 are "corresponding angles" and as such are equal. Thus, the measure of angle 2 is 60 degrees.

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What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?

Hatshy [7]

The root sof this quadratic equation are -4 and 2.5.

The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.

$\frac{-b +/- \sqrt{b^{2}- 4ac}}{2a}$

In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.

$\frac{3 +/- \sqrt{-3^{2}- 4(-2)(20)}}{2(-2)}$

$\frac{3 +/- \sqrt{9 + 160}}{-4}$

$\frac{3 +/- 13}}{4}$

Now you separate and get the two separate answers. First the positive.

$\frac{3 + 13}}{4}$

$\frac{16}}{4}$

Now the negative

$\frac{3 - 13}}{4}$

$\frac{-10}}{4}$

-2.5

5 0

2 years ago

Read 2 more answers

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The

kobusy [5.1K]

Answer:

20 and 16

Step-by-step explanation:

Let us find x and y.

x – y = 4 _____(1)

x/2 + y/2= 18___(2)

Multiply (2) by 2 and add to (1)

x - y = 4

+(x + y = 36)

2x = 40

=> x = 40 / 2 = 20

From (1):

20 - y = 4

=> y = 20 - 4 = 16

The two numbers are 20 and 16.

6 0

1 year ago

Read 2 more answers

Emily is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Emily will earn $

Hitman42 [59]

Answer:

(6,2)

Step-by-step explanation:

Variable Definitions:

x= the number of commercials

y= the number of movies

Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:

50x+150y=600

Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.

x=3y

Write System of Equations:

50x+150y=600

x=3y

Solve for y in each equation:

1) 50x+150y=600

150y=−50x+600

y=-1/3x+4

2) x=3y

y=1/3x

The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:

Emily's songs were played on 6 commercials and 2 movies.

4 0

1 year ago

What is the value of x? Enter your answer, as a decimal, in the box. x= A right triangle with vertices labeled as A, B, and C. S

____ [38]

x=3.95

Explanation

From the given information we find that the triangle is right angled at C. CB is the base,AC is the height and AB is the hypotenuse.

Given that D is the hypotenuse of the hypotenuse AB.

BC=6

BD=4.2

AD=x

the height and the base of the triangle is given.

Using pythagoras theorem, we can find the hypotenuse AB.

$AB=\sqrt{AC^2+CB^2} \\=\sqrt{5^2+6^2} \\=\sqrt{25+36} \\=\sqrt{61} \\$

D is the midpoint of AB

therefore AD=AB/2= $\sqrt{61}/2$

=3.905

x=3.905 cm

6 0

1 year ago

Let X represent the amount of time until the next student will arrive in the library parking lot at the university. If we know t

Ber [7]

Answer:

The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

Step-by-step explanation:

The random variable X is defined as the amount of time until the next student will arrive in the library parking lot at the university.

The random variable X follows an Exponential distribution with mean, μ = 4 minutes.

The probability density function of X is:

$f_{X}(x)=\lambda e^{\lambda x};\ x\geq 0, \lambda >0$

The parameter of the exponential distribution is:

$\lambda=\frac{1}{\mu}=\frac{1}{4}=0.25$

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10}{0.25e^{-0.25x}}\, dx$

$=0.25\times \int\limits^{\infty}_{10}{e^{-0.25x}}\, dx\\=0.25\times |\frac{e^{0.25x}}{-0.25}|^{\infty}_{10}\\=(e^{-0.25\times \infty})-(e^{-0.25\times 10})\\=0.0821$

Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.

3 0

2 years ago