1. Use the figure below to answer the questions.

(a) Solve for x.

Answers

Answer 1

Answer:

Based on the diagram representing a regular polygon, the value of x is equal to 61°.

How to determine the value of x?

In Mathematics and Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:

Sum of interior angles = 180 × (n - 2)

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

Sum of interior angles = 180 × (5 - 2)

Sum of interior angles = 180 × 3

Sum of interior angles = 540°.

Since all interior angles must be equal to 540, the measure of interior angle x is given by;

90 + 107 + 144 + 138 + x = 540°

479 + x = 540°

x = 540° - 479

x = 61°

Read more on interior angles here: brainly.com/question/13293407

#SPJ2

Answer 2

Answer:

Let's see what to do buddy...

_________________________________

The sum of the angles of each n-sided figure is found in the following equation :

$(n - 2) * 180$

The question's figure is 5-sindes figure

so the sum the angles equal :

$(5 - 2) * 180 = 3 * 180 = 540 \n$

So we have :

$90 + 107 + 144 + 138 + x = 54 0 \n$

$479 + x = 540$

Subtract the sides of the equation minus 479

$x = 540 - 479$

$x = 61$

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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The expression 8 x plus 12 y represents the sum of Harry and Mike’s total monthly wages, where x represents the number of hours Harry worked and y represents the number of hours Mike worked. What is another way to write the expression, and what can you conclude from rewriting it in this way?A. 8 left parenthesis x plus 1.5 y right parenthesis ; Harry’s hourly wage is 1.5 times Mike’s.B. 8 left parenthesis x plus 1.5 y right parenthesis; Mike’s hourly wage is 1.5 times Harry’s.C. 12 left parenthesis 8 x plus y right parenthesis ; Harry’s hourly wage is 8 times Mike’s.D. 8 left parenthesis x plus 4 y right parenthesis ; Mike’s hourly wage is 4 times Harry’s.
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Read these lines of poetry: O say, can you see, by the dawn's early light,
What so proudly we hailed at the twilight's last gleaming?

In which poem do these lines appear?

A.
"The Star-Spangled Banner"

B.
"This Land is Your Land"

C.
"I Hear America Singing"

D.
"America the Beautiful"

Answers

the answer would be A. that is our national anthum

Answer:

A "The Star-Spangled Banner" (Our National Anthem)

Step-by-step explanation:

This is a mathematical sentence written with a greater than, a less than sign, or a not equal to sign.

Answers

greater than means >

less than <

not equal to ≠

Compare using <, >, or =.
11/2____1

Answers

< Means the number on the right is larger than the left.
> Means the number on the left is larger than the right.

11/2 = 5.5
1 = 1

5.5 Is obviously bigger than 5.
Therefore 5.5 > 1.

Please help me! I’m so confused!! I will give BRAINLIEST :) A coat hanger is in the shape of isosceles triangle ABC shown in the figure. Sides AB and BC are congruent.

If angle BAC = 22 degrees the angle ABC = ?

Answers

Answer:

136 degrees

Step-by-step explanation:

if BAC is 22 degrees, than BCA is also 22 degrees. together that's 44 degrees. triangles are 180 degrees in total so 180 - 44 is 136

Answer:

Angle ABC is equal to 136 degrees.

Step-by-step explanation:

Since sides AB and BC are congruent (meaning they are equal to each other), they will have the same angle measurement. So, angle BAC and angle BCA will both have a measure of 22 degrees.

Triangles always add up to 180 degrees, so add 22 and 22 together, and subtract from 180. This leaves you with 136 degrees for angle ABC.

136 + 22 + 22 = 180, so this works!

I hope this helps!

Dish Network charges $100 for installation plus $55 each month for their service. If you have spent a total of $540, how many months have you had Dish Network?

Answers

Answer:

8 months

Step-by-step explanation:

cost = 100 + 55m where m is the number of months

540 = 100 + 55m

Subtract 100 from each side

540-100 = 100 + 55m -100

440 = 55m

Divide each side by 55

440/55= 55m/55

8 = m

8 months

Answer:

Step-by-step explanation:

55m + 100 = 540

55m = 440

m = 8 months

What is the range of the function on the graph?O all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to 2

Answers

Answer:

4th Option: All real numbers greater than or equal to 2.

Step-by-step explanation:

Range is the set of y-values that can be outputted by function f(x).

We see here our range spans from 2 to infinity. Since 2 is a closed dot, we can include it in our range. Therefore our answer is All real numbers that are greater than or equal to 2.

[2, ∞)

Answer:all real numbers greater than or Equal to 2

Step-by-step explanation:

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