All categories

3 years ago

Use the image to the right to answer the questions:

Mathematics

1 answer:

arsen [322]3 years ago

8 0

Answer:

a. Linear pair theorem

b. x = 40

Step-by-step explanation:

a. You can use linear pair theorem. That is, two angles on a straight line are supplementary. They sum up to 180°

b. Thus:

x + (4x - 20) = 180°

x + 4x - 20 = 180

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 200/5

x = 40

You might be interested in

Need this quick!!!

Leya [2.2K]

A function assigns the values. The correct option is graph X.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The function which is giving a constant term is the graph on the right, while the function where the value of x increases to positive infinity is the upper graph.

Hence, the correct option is graph X.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

7 0

2 years ago

Write the six terms of each arithmetic sequencePlease see picture for question

chubhunter [2.5K]

ANSWER

The six terms for the arithmetic sequence is 1.6, 1.2, 0.8. 0.4, 0, -0.4

EXPLANATION

Given that;

$\begin{gathered} a_n\text{ = a}_{n\text{ - 1}}\text{ - 0.4} \\ \text{ a}_1\text{ = 1.6} \end{gathered}$

To find the second term, let n = 2

$\begin{gathered} \text{ a}_2\text{ }=\text{ a}_{2\text{ - 1}}\text{ - 0.4} \\ \text{ a}_2\text{ }=\text{ a}_1\text{ - 0.4} \\ \text{ a}_1\text{ = 1.6} \\ \text{ a}_2\text{ }=\text{ 1.6 - 0.4} \\ \text{ a}_2\text{ }=\text{ 1.2} \end{gathered}$

To find the third term, let n = 3

$\begin{gathered} \text{ a}_3\text{ }=\text{ a}_{3\text{ - 1}}\text{ - 0.4} \\ \text{ a}_3\text{ }=\text{ a}_2\text{ - 0.4} \\ \text{ a}_2\text{ = 1.2} \\ \text{ a3 }=\text{ 1.2 - 0.4} \\ \text{ a}_3\text{ = 0.8} \end{gathered}$

To find the fourth term, let n = 4

$\begin{gathered} \text{ a}_4\text{ }=\text{ a}_{4-\text{ 1}}\text{ - 0.4} \\ \text{ a}_4\text{ = a}_3\text{ - 0.4} \\ \text{ a}_3\text{ = 0.8} \\ \text{ a}_4\text{ = 0.8 - 0.4} \\ \text{ a}_4\text{ = 0.4} \end{gathered}$

To find the fifth term, let n = 5

$\begin{gathered} \text{ a}_5\text{ = a}_{5\text{ - 1}}\text{ - 0.4} \\ \text{ a}_5\text{ }=\text{ a}_4\text{ - 0.4} \\ \text{ a}_4\text{ = 0.4} \\ \text{ a}_5\text{ = 0.4 - 0.4} \\ \text{ a}_5\text{ = 0} \end{gathered}$

To find the 6th term, let n = 6

$\begin{gathered} \text{ a}_6\text{ }=\text{ a}_{6\text{ - 1}}\text{ - 0.4} \\ \text{ a}_6\text{ = a}_5\text{ - 0.4} \\ \text{ a}_5\text{ = 0} \\ \text{ a}_6\text{ = 0 - 0.4} \\ \text{ a}_6\text{ = -0.4} \end{gathered}$

Hence, the six terms for the arithmetic sequence is 1.6, 1.2, 0.8. 0.4, 0, -0.4

5 0

1 year ago

Gavin and Caleb are playing baseball. When Gavin hits the baseball it is projected upward from ground level over Caleb's head wi

KengaRu [80]

The answer is 1434 hope this helps

6 0

3 years ago

Read 2 more answers

Which measurement is the width of this rectangle? Area = 112 cm²

nevsk [136]

C. 10 cm
To understand the given problem use the formular of area.

Hence, area is the length and width of the object in unit squared.

Mathematically expressing, a = l x w
Since a = l x w
a = lw unit squared

Given:
Area = 112 cm2

Square root of Area = Square root of 112 cm2
Area = 10.58 cm

Check:
Area = (10.58 cm)^2
Area = 111.9 / 112

6 0

3 years ago

How do you simplify 5/8

gulaghasi [49]

You divide 5 by 8 which is .625

3 0

3 years ago

Read 2 more answers