1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergey [27]
3 years ago
5

One of two complementary angles is 12 degrees greater than the other. Find the measure of the larger angle.

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

39,51

Step-by-step explanation:

Complementary angles add to 90 degrees

Let one angle be x

The other angle is x+12

x+ x+12 = 90

Combine like terms

2x+12 = 90

Subtract 12 from each side

2x+12-12 = 90-12

2x = 78

Divide each side by 2

2x/2 = 78/2

x =39

The other angle is 39+12 =51

You might be interested in
heights of statistics students were obtained by a teacher as part of an experiment conducted for the class. The last digit of th
hammer [34]

Answer:

1) B. The height appear to be reported because there are disproportionately more 0s and 5s.

2) A. They are likely not very accurate because they appear to be reported.

Step-by-step explanation:

The distribution table is shown below:

Last Digit           Frequency

     0                          9

     1                           1

     2                          1

     3                          3

     4                          1

     5                         11

     6                          1

     7                          0

     8                          3

     9                          1

1. Based on the distribution table, we see a very disproportionate distribution. There is a high frequency of 0's and 5's. This lays credence to the heights being reported rather than measured. As such, option B is the correct answer

<u>B. The height appear to be reported because there are disproportionately more 0s and 5s</u>.

2. Since the heights were reported and not measured, they are most certainly not accurate. The conclusion is that the result is not accurate. As such, option A is the correct answer

<u>A. They are likely not very accurate because they appear to be reported</u>.

7 0
3 years ago
Find the average value of f over region
yan [13]
The area of D is given by:

\int\limits \int\limits {1} \, dA = \int\limits_0^7 \int\limits_0^{x^2} {1} \, dydx  \\  \\ = \int\limits^7_0 {x^2} \, dx =\left. \frac{x^3}{3} \right|_0^7= \frac{343}{3}

The average value of f over D is given by:

\frac{1}{ \frac{343}{3} }  \int\limits^7_0  \int\limits^{x^2}_0 {4x\sin(y)} \, dydx  = -\frac{3}{343}  \int\limits^7_0 {4x\cos(x^2)} \, dx  \\  \\ =-\frac{3}{343} \int\limits^{49}_0 {2\cos(t)} \, dt=-\frac{6}{343} \left[\sin(t)\right]_0^{49} \, dt=-\frac{6}{343}\sin49
3 0
3 years ago
A test was given to a group of students. The grades and gender are summarized below
jasenka [17]

Answer:

<h3>★ <u>11/30</u> is the right answer. ★</h3>

Step-by-step explanation:

  • Number of male students who got 'A' in the test is 11
  • Number of female students who got 'A' in the test is 19
  • Total students who got 'A' in the test is 30
  • Probability that the male student got an 'A' is P(A | male) = (Number of male students who got 'A' in the test)/(Number of total students who got 'A' in the test) = <em><u>11/30</u></em>
4 0
3 years ago
whether the distribution of the mean of a large number of independent, identically distributed variables. true or false
san4es73 [151]

Answer:

The statement is false

Step-by-step explanation:

Given

See comment for complete statement

Required

Is the statement true or false

From central limit theorem, we understand that a distribution is approximately normal if the distribution takes a sample considered to be large enough from the population.

Also, the mean and the standard deviation are known.

However, the given statement implies that the distribution will be normal depending on an underlying distribution; this is false.

6 0
2 years ago
(Angles) Only 14-17 please, do 15 if you want
Butoxors [25]

Answer:

N.14 ABC = 5x+20, N.15 ABE = 90. N.16. 123, 29, 28. N.17 K = 80

Step-by-step explanation:

Because of vertical angles, 5x+20 = 3x+66.

5x=3x+46

2x = 46

x = 23

Sum of angles in a circle is 360

360-135-135=180

ABE = CBD because vertical angles.

180 / 2 = 90

16.

Sum of angles in triangle is 180

180=123-x-2-x-3

x = 31

123, 29, 28.

17.

Sum of angles in triangle is 180

180-72-28 = 80

K = 80

8 0
2 years ago
Other questions:
  • Why was the baby any confused ?
    12·1 answer
  • If an angle is obtuse , then it measures between 90 degrees and 180 degrees
    15·2 answers
  • Where does f(x) = g(x)
    12·1 answer
  • Round to the nearest tenth.
    7·1 answer
  • What is the probability of spinning a white on the spinner
    9·1 answer
  • What is the value of x when g(h(x)) = 4?
    14·1 answer
  • Please I need help!
    6·1 answer
  • What is the value of 3 in 345,268.19
    11·1 answer
  • In the diagram below, overline AE cong overline BE overline DE cong overline DC and m angle D=32^ . Find m angle A .
    13·1 answer
  • Use your equation from Exercise 6 to find m when n=40
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!