Maths-

General

Easy

Question

# In the figure shown, line j is parallel to line and line is parallel to line . What is the value of x ?

- 40
- 60
- 80
- 100

## The correct answer is: 40

### Parallel lines are lines that always stay the same distance apart and never meet. A transversal is a line that crosses two or more other lines.

Step-by-step solution:-

i. In the given diagram, lines j & k are parallel to each other and line m is the transversal.

∴ the angle between lines k & m is congruent to the angle between j & m (i.e. 40°) ----------- (Corresponding angles)

ii. In the given diagram, lines l & m are parallel to each other and line k is the transversal.

∴ the angle between lines m & p is congruent to the angle between p & l (i.e. 40°) --------- (Alternate interior angles)

Final Answer:-

Option A i.e. 40 is the correct answer.

### Related Questions to study

Maths-

x | -1 | 0 | 1 | 2 | 3 |

y | 1 | 2 | 3 | 4 | 5 |

x | -1 | 0 | 1 | 2 | 3 |

y | 1 | 2 | 3 | 4 | 5 |

Maths-General

Maths-

### Century and Region of United States Presidents' Births as of 2014

The table above shows the distribution of United States presidents according to the century and the region of the country in which they were born. Based on the information in the table, what fraction of presidents who were not born in the nineteenth century were born in the South?

### Century and Region of United States Presidents' Births as of 2014

The table above shows the distribution of United States presidents according to the century and the region of the country in which they were born. Based on the information in the table, what fraction of presidents who were not born in the nineteenth century were born in the South?

Maths-General

English-One-to-One

### Choose the word with the correct magic “e”.

### Choose the word with the correct magic “e”.

English-One-to-OneGeneral

Maths-

### A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.

What is the number of computers for which the line of best fit predicts a value less than the actual value?

### A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.

What is the number of computers for which the line of best fit predicts a value less than the actual value?

Maths-General

Maths-

### A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.

Based on the line of best fit, the estimated value of a 6-year-old computer is k thousand dollars, where k is an integer. What is the value of k?

### A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.

Based on the line of best fit, the estimated value of a 6-year-old computer is k thousand dollars, where k is an integer. What is the value of k?

Maths-General

Maths-

### The linear function f is defined by f(x) = cx + d, where c & d are constants. If f (50) = 27,000 and f (100) = 38,000, what is the value of c?

### The linear function f is defined by f(x) = cx + d, where c & d are constants. If f (50) = 27,000 and f (100) = 38,000, what is the value of c?

Maths-General

Maths-

### The length, in meters, of the sides and the height of a parallelogram are shown in the given figure. What is the area in square meters, of the parallelogram?

### The length, in meters, of the sides and the height of a parallelogram are shown in the given figure. What is the area in square meters, of the parallelogram?

Maths-General

Maths-

### One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. How many more calories from fat are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100 calorie serving of the pretzels?

### One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. How many more calories from fat are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100 calorie serving of the pretzels?

Maths-General

Maths-

### 4x + y = 4 &

8x + y = 5

If (x, y) is the solution of the system of equations above, what is the value of x?

### 4x + y = 4 &

8x + y = 5

If (x, y) is the solution of the system of equations above, what is the value of x?

Maths-General

Maths-

### 4, 13, 5, 8, R, 5, 11

In the data set shown, R is an integer. If the median of the data set is 8 and R < 11, what is a possible value of R?

### 4, 13, 5, 8, R, 5, 11

In the data set shown, R is an integer. If the median of the data set is 8 and R < 11, what is a possible value of R?

Maths-General

Maths-

### (x - 3)^{4} = 0. What value of x makes the given equation true?

### (x - 3)^{4} = 0. What value of x makes the given equation true?

Maths-General

Maths-

### The expressions x^{2} + bx + 10 and (x - 3)^{2} + c, where b and c are constants, are equivalent. What is the value of

b + c?

### The expressions x^{2} + bx + 10 and (x - 3)^{2} + c, where b and c are constants, are equivalent. What is the value of

b + c?

Maths-General

Maths-

### In the given equation, k is a constant. If the equation has no solution, what is the value of k?

### In the given equation, k is a constant. If the equation has no solution, what is the value of k?

Maths-General

Maths-

### In the given equation, a & b are positive constants and a ≠ b How many distinct x-intercepts does the graph of the equation in the xy-plane have?

Y = bx(x - a)(x - a)(x + b)(x - b)

### In the given equation, a & b are positive constants and a ≠ b How many distinct x-intercepts does the graph of the equation in the xy-plane have?

Y = bx(x - a)(x - a)(x + b)(x - b)

Maths-General

Maths-

### The function f is defined for all real numbers, and the graph of y = f (x) in the xy-plane is a line with a negative slope. Which of the following must be true?

I. If a < b, then f(a) > f (b).

II. If a < 0, then f (a) > 0.

III. If a > 0, then f (a) < 0.

### The function f is defined for all real numbers, and the graph of y = f (x) in the xy-plane is a line with a negative slope. Which of the following must be true?

I. If a < b, then f(a) > f (b).

II. If a < 0, then f (a) > 0.

III. If a > 0, then f (a) < 0.

Maths-General