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3 years ago

What is the value of n

Mathematics

2 answers:

Vladimir79 [104]3 years ago

8 0

<h2>Answer:</h2>

The correct option is (D) 69

<h2>Step-by-step explanation:</h2>

n = (interior angle of 131° + interior angle of 160°)

From the figure we can see that

The interior angle of angle 131° = 180 - 131 = 49° because the sun of the two angles must be 180 for a straight line

Similarly

The interior angle of angle 160° = 180 - 160 = 20° because the sun of the two angles must be 180 for a straight line

Now the sum of interior angles of a triangles is 180 so n = 49° + 20° = 69°

Crank3 years ago

7 0

Answer:

The correct answer is option D. 69°

Step-by-step explanation:

Points to remember

1). The sum of angles in a linear pair is 180°

2). In a triangle sum of two angles are equal to the exterior angle of third angle

From the figure we can see a triangle in which two exterior angles area given.

To find the value of n

from figure we get,

n = (interior angle of 131° + interior angle of 160°)

interior angle of 131° = 180 - 131 = 49°

interior angle of 160° = 180 - 160 = 20°

n = 49° + 20° = 69°

Therefore the correct answer is option D. 69°

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Step-by-step explanation:

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3 years ago

A rectangle has a perimeter of 116 centimeters and a length of 26 centimeters what is the width of the rectangle

notsponge [240]

Answer:

The width of the rectangle=32 cm

Step-by-step explanation:

We are given that

Perimeter of rectangle, P=116 cm

Length of rectangle, l=26 cm

We have to find the width of the rectangle.

We know that

Perimeter of rectangle, P= $2(l+b)$

Where l=Length of rectangle

b=Width of rectangle

By using the formula

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4 0

3 years ago

Read 2 more answers

Can anyone help me with this and explain it too?

arlik [135]

Answer:

(6, 3)

Step-by-step explanation:

$Midpoint (x_{m},y_{m})=(\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2})\\\\=(\frac{3 + 9}{2}, \frac{6 + 0}{2})\\\\=(\frac{12}{2}, \frac{6}{2})\\\\Midpoint of a line segment (x_M, y_M) = (6, 3)$

How to Calculate Midpoint?

The x-coordinate of the midpoint M of the segment $\overline{AB}$ is the arithmetic mean of the x-coordinates of the endpoints of the segment $\overline{AB}$ . Similarly, the y-coordinate of the midpoint M of the segment $\overline{AB}$ is the arithmetic mean of the y-coordinates of the endpoints of the segment $\overline{AB}$ .

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4 years ago

A new bank customer with $4 comma 500 wants to open a money market account. The bank is offering a simple interest rate of 1.5

Jet001 [13]

a) Simple interest earned by customer in 10 years is $ 675

b) Account balance after 10 years is $ 5175

Solution:

The simple interest is given by formula:

$Simple\ Interest = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"r" is the rate of interest

"n" is the number of years

a. How much interest will the customer earn in 10 years?

From given,

Principal = p = $ 4500

Simple interest rate = r =1.5 %

n = 10

Substituting the values in formula,

$Simple\ Interest = \frac{4500 \times 10 \times 1.5}{100}\\\\Simple\ Interest = 450 \times 1.5\\\\Simple\ Interest = 675$

Thus simple interest earned by customer in 10 years is $ 675

b. What will the account balance be after 10 years ?

Account balance = principal + simple interest

Account balance = 4500 + 675 = 5175

Thus account balance after 10 years is $ 5175

8 0

3 years ago