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3 years ago

What is the value of the angle marked with x?

Mathematics

1 answer:

morpeh [17]3 years ago

4 0

Given:

Quadrilateral with opposite lines are parallel.

To find:

The value of x

Solution:

Quadrilateral with opposite lines are parallel.

Therefore the quadrilateral is a parallelogram.

In parallelogram, the adjacent angles are supplementary angles.

⇒ 48° + x = 180°

Subtract 48° from both sides.

⇒ 48° + x - 48° = 180° - 48°

⇒ x = 132°

The value of the angle x is 132°.

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Part 1: How's the weather? A. Investigate the weather forecast in your city. Record the high and low temperatures that are forec

victus00 [196]

Using the mean concept, it is found that:

1. The mean change in the forecasted high temperatures is of -0.33ºC.

2. The mean change in the forecasted low temperatures is of 0.5ºC.

-----------------------------

The mean of data-set is given by the sum of all observations divided by the number of observations.

Item 1:

The changes in the high temperature are: 2, 1, -1, -1, -1, -2

Thus:

$M = \frac{2 + 1 - 1 - 1 - 1 - 2}{6} = -0.33$

The mean change in the forecasted high temperatures is of -0.33ºC.

Item 2:

The changes in the low temperature are: 2, -2, 2, 1, 0, 0.

$M = \frac{2 - 2 + 2 + 1 + 0 + 0}{6} = 0.5$

The mean change in the forecasted low temperatures is of 0.5ºC.

A similar problem is given at brainly.com/question/24754716

3 0

2 years ago

What is the solution for the following system of equations? Use ANY method to solve. 2x + 8y = 4 x = -3y + 5 Question 4 options:

Elan Coil [88]

Answer:

x = 14, y= -3

Step-by-step explanation:

Solve the following system:

{2 x + 8 y = 4 | (equation 1)

{x = 5 - 3 y | (equation 2)

Express the system in standard form:

{2 x + 8 y = 4 | (equation 1)

{x + 3 y = 5 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + 8 y = 4 | (equation 1)

{0 x - y = 3 | (equation 2)

Divide equation 1 by 2:

{x + 4 y = 2 | (equation 1)

{0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{x + 4 y = 2 | (equation 1)

{0 x+y = -3 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{x+0 y = 14 | (equation 1)

{0 x+y = -3 | (equation 2)

Collect results:

Answer: x = 14, y = -3

7 0

3 years ago

( show your work ) Find the total cost of 6 puppies if each pull-ups coast $250

yKpoI14uk [10]

Answer: $1500

Step-by-step explanation:

Given information

Number of puppies = 6

Cost of each puppy = $250

Given expression deducted from the question

Total cost = number of puppies × cost of each

Substitute values into the expression

Total cost = 6 × 250

Simplify by multiplication

Total cost = $\boxed{1500}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

3 years ago

Read 2 more answers

What is the difference between an arithmetic sequence and a geometric sequence?

earnstyle [38]

Answers

Part 1

Arithmetic sequence is a sequence by which the next term is found by adding a constant number. It can be a positive number or a negative number. This number is called the common difference. On the other hand, a geometric sequence is one whose next term is found by multiplying the previous term with a constant (common ratio).

Part 2

Sequences are useful in our daily lives as well as in higher mathematics. For example, the interest portion of monthly payments made to pay off an automobile or home loan, and the list of maximum daily temperatures in one area for a month are sequences.

Example: arithmetic sequence

A child building a tower with blocks uses 15 for the bottom row. Each row has 2 fewer blocks than the previous row. Suppose that there are 8 rows in the tower. Find an for n = 8.

The number of blocks in each row forms an arithmetic sequence with a₁ = 15 and d= −2. The formula to be used is an = a₁ + (n − 1)d.

Example: geometric sequence

An insect population is growing in such a way that each new generation is 1.5 times as large as the previous generation. Suppose there are 100 insects in the first generation. How many will there be in the fifth generation?

The population can be written as a geometric sequence with a₁ as the first generation population, a₂ as the second-generation population, and so on. Then the fifth generation population will be a₅. The formula to be used is an = a₁×r⁽ⁿ⁻¹⁾

3 0

3 years ago

How do you write the fraction for 20/10 as a mix number???

IceJOKER [234]

You divide 20 and 10

3 0

3 years ago

Read 2 more answers