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3 years ago

What is the measure of the angle shown ?

Mathematics

2 answers:

netineya [11]3 years ago

7 0

Answer:

A. 55°

Step-by-step explanation:

Yuliya22 [10]3 years ago

6 0

Answer:

55 degree

Step-by-step explanation:

You might be interested in

Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.

Elina [12.6K]

Answer:

a. The number of light bulbs that burn out in the next year in a room with 19 bulbs: is a discrete random variable.

b. The usual mode of transportation of people in City Upper A: is not a random variable because its outcome isn't numerical.

c. The number of statistics students now doing their homework: is a discrete random variable.

d. The number of home runs in a baseball game: is a discrete random variable.

e. The exact time it takes to evaluate 67 plus 29: is a continuous random variable.

f. The height of a randomly selected person: is a continuous random variable.

Step-by-step explanation:

A random variable often used in statistics and probability, is a variable that has its possible values as numerical outcomes of a random experiment or phenomenon. It is usually denoted by a capital letter, such as X.

In statistics and probability, random variables are either continuous or discrete.

1. A continuous random variable is a variable that has its possible values as an infinite value, meaning it cannot be counted.

Example are the height of a randomly selected person, time it take to move from Texas to New York city, etc.

2. A discrete random variable is a variable that has its possible values as a finite value, meaning it can be counted.

Examples are the number of light bulbs that burn out in the next year in a room with 19 bulbs, the number of chicken in a district etc.

4 0

3 years ago

Read 2 more answers

Use slopes and y-intercepts to determine if the lines 5x-5y=-2 and -x+2y=4

HACTEHA [7]

The given pair of lines are not perpendicular.

The line is a curve showing the shortest distance between 2 points.

5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5

The slope of equation 1 is $m_1 = 1$ and intercept c = 2 / 5

Similarly
x + 2y = 4 - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2

Slope of the equation 2 $m_2$ = -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2

Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e
$m_1*m_2 = -1$

Thus, the given pair of lines are not perpendicular.

Learn more about lines here:

brainly.com/question/2696693

#SPJ1

6 0

1 year ago

One angle is 25 less than four times it's supplement. What is the measure of both angles?

Elenna [48]

Let the first angle be x and the second be y.

Supplementary angles add up to 180, so:
x + y = 180

Also, as given in the statement:
x = 4y - 25

Substituting into the first equation:
4y - 25 + y = 180
5y = 205
y = 41

x = 4(41) - 25
x = 139

One angle is 139° and the other is 41°.

6 0

3 years ago

Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum

const2013 [10]

Answer: The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

$S=\sum_{i=1}^{\infty}15(4)^{i-1}.$

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, $\sum_{i=1}^{\infty}a_i$ is an infinite series, with complex coefficients $a_i$ and we consider the following limit:

$L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.$

Then, the series will be convergent if L < 1 and divergent if L > 1.

For the given series, we have

$a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.$

So, the limit is given by

$L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.$

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0

4 years ago

Read 2 more answers

A scale on a map shows that 1 inch = 25 miles. How many inches on the map represent 100 miles? *

Lilit [14]

Answer:

4 inches

Step-by-step explanation:

Every 25 miles the map shows 1 inch
100 miles is equal to 4 x 25 miles, thus 100 miles on the map will be 4 times longer than 1 inch => 4 inches

8 0

2 years ago