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77julia77 [94]
3 years ago
10

The value of x is___.

Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

To find the value of x. We have to use Exterior Angle Theorem.

It is says "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle."

In the given figure,

45x = 25x + (57 + x)

Now let's find the value of x.

First we need to isolate the variable terms

45x - 25x = 57 + x

20x - x = 57

19x = 57

x = 57/19

x = 3

The value of x = 3.

Thank you.

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I need help I don’t get this
AlexFokin [52]

Answer:

-3

Step-by-step explanation:

-2(2x+5)-x=5(x+1) +15

distribute

-4x-10-x=5x+5+15

add common terms

-5x-10=5x+20

move common terms to the same sides

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divide

x=-3

3 0
3 years ago
Read 2 more answers
What is the area of the shape below
Bad White [126]

Answer:

The area of the shape is A=886 \:cm^2.

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First  separate the composite shape into three simpler shapes, in this case two rectangles and  a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is A=34\cdot 16=544\:cm^2

The area of the second rectangle is A=11\cdot19=209\: cm^2

The area of a triangle is given by the formula A=\frac{1}{2} bh where <em>b</em> is the base and <em>h</em> is the height of the triangle.

The area of the triangle is A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2

Finally, add the areas of the simpler figures together to find the total area of the  composite figure.

A_{composite\:shape}=544+209+133=886 \:cm^2

3 0
3 years ago
Check
asambeis [7]

Answer:

Step-by-step explanation:

An equation contains a sign equality (=) between two expressions.

And an expression is a simple algebraic statement.

By these definitions,

          Equations                          Expressions

         x = 2x + 5                            21x - 13 + 11x

         \frac{1}{2}x=5+3                           -3.7x - 13  

         3x + 1 = -2.1                          \frac{1}{2}x+5

7 0
3 years ago
write how much has passed. 10:45 am to 11:15 am. 2:15 pm to 2:30 pm 6:15 am to 6:45 am 3:30 pm to 4:30 pm 9:15 am to 10:00 am
liq [111]

Answer:

1. 30 minutes

2. 15 minutes

3. 30 minutes

4. 60 minutes/ 1 hour

5. 45 minutes

Step-by-step explanation:

1.  60 - 45 = 15

15+15 = 30

2. 30 - 15 = 15

3. 45 - 15 = 30

4. 60 - 30 = 30

30 + 30 = 60

5. 60 - 15 = 45

3 0
3 years ago
Find the common difference of the arithmetic sequence 4, 1, -2, ...​
wel

Answer:

6. i dont kno

Step-by-step explanation:

7 0
3 years ago
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