MATHEMATICS HIGH SCHOOL

Which pair of angles listed below are adjacent angles?Parallel Lines and Transversals

A.
1 and 2

B.
1 and 3

C.
1 and 4

D.
2 and 3
Which pair of angles listed below are adjacent angles? Parallel - 1

Answers

Answer 1
Answer:

Lets look at the question is asking:

They are looking for adjacent angles.

The geometrical definition for adjacent is neighboring.

So with this we can tell that They are looking for neighboring angles.

The adjacent/neighboring angles are

∠1 and∠2 and ∠3 and ∠4.

So since ∠3 and∠4 are not an option, we can make an educated guess that the answer is A.

(I feel slightly confused on this question, so if it wrong I am truly sorry!)

 I hope this helped :)

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In Triangle ABC, which trigonometric ratio has the value a/c?A) tan A B) cos A C) tan C D) cos C E) sin C

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, negative 1, and 2 Which of the following functions best represents the graph?

f(x) = x3 + x2 − 4x − 4
f(x) = x3 + 4x2 − x − 4
f(x) = x3 + 3x2 − 4x − 12
f(x) = x3 + 2x2 − 4x − 8

Answers

Based on the given intercepts, the factors of the polynomial are
f(x) = (x-2)(x+1)(x-2)
Multiplying the binomials would give us the correct answer. Multiplying the first two,
f(x) = (x2 - x - 2)(x-2)
Then multiplying the result with other binomial,
f(x) = x3 + x2 - 4x - 4

Using the Factor Theorem, the function that best represents the graph is given by:

f(x) = x³ + x² - 4x - 4.

What is the Factor Theorem?

The Factor Theorem states that a polynomial function with roots x_1, x_2, \codts, x_n is given by:

f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)

In which a is the leading coefficient

In this problem, we consider a = 1, and the roots are the x-interceptsx_1 = -2, x_2 = -1, x_3 = 2, hence:

f(x) = (x + 2)(x + 1)(x - 2)

f(x) = (x² + 3x + 2)(x - 2)

f(x) = x³ + x² - 4x - 4.

More can be learned about the Factor Theorem at brainly.com/question/24380382

#SPJ5

Solve for h in the mathematical formula V=pi r^(2)h

Answers

Answer:

(V)/(\pi r^(2) ) = h

Step-by-step explanation:

Lets try and get everything we can away from h.

V = \pir^(2) h

Divide \pir^(2) from both sides of the equation.

Now we end up with:

(V)/(\pi r^(2) ) = h

Cual es la mitad de 1.5

Answers

\frac{1.5}2=(15)/(20)=(3)/(4)=0.75.

Green eyes.

What is the value of the expression "eight more than three times the difference of four and a number" when n =3?
□44
□19
□17
□11​

Answers

Answer:

11

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

11

Answer:

11

Step-by-step explanation:

Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was 1 9 0 centimeters tall. She measured it once a year and found that it grew at a constant rate. 3 years after she moved into the house, the tree was 2 7 4 centimeters tall.

Answers

It would grow 28 centimeters each year. 274-190=84 which is the difference from 3 years. You would then divide the 84 between three different years to get 28.

Deanna collected data on the favorite sports of the students of two grades. The table shows the relative frequencies of rows for the data collected: Favorite Sport Swimming Running Volleyball Row totals Grade 8 0. 14 0. 18 0. 22 0. 54 Grade 9 0. 17 0. 24 0. 05 0. 46 Column totals 0. 31 0. 42 0. 27 1 Based on the data, which statement is most likely correct? In Grade 8, 14 students liked swimming. In Grade 9, 31% of students liked swimming. In Grade 8, 22% of students liked volleyball. In Grade 9, 5 students liked volleyball.

Answers

Answer:

In Grade 8, 22% of students liked volleyball.

Step-by-step explanation:

Given:

The table representing the relative frequencies of different sports in different grades among the students.

                          Swimming      Running    Volleyball                   Row totals

Grade 8                        0.14           0.18         0.22                          0.54

Grade 9                        0.17           0.24        0.05                          0.46

Column totals              0.31           0.42        0.27                             1

Relative frequency gives the ratio of the number of quantities of a particular kind and the total number of quantities.

From the above table, we can conclude the following points:

Grade 8:

14% liked swimming, 18% liked running and 22% liked volleyball. So, a total of 54% students liked playing sports.

Grade 9:

17% liked swimming, 24% liked running and 5% liked volleyball. So, a total of 46% students liked playing sports.

Combining students of grade 8 and 9:

31% liked swimming, 42% liked running and 27% liked volleyball.

From all the options available, we observe that, third option is only correct.

In Grade 8, 22% of students liked volleyball.
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