Answer:
Step-by-step explanation:
1. 73 because it is vertical angles
2. 73 complimentary angles
3. 107 Supplementary angles
4. 73 Complimentary to a vertical angle
5 107 vertical angle to a Supplementary angle
The slope is negative
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Answer:
The area of the given polygon is:
Step-by-step explanation:
To find the area of the polygon in the picture, you can divide the polygon in three rectangles: a 3 cm by 14 cm, a 5 cm by 14 cm rectangle, and the last rectangle must have a base of 12 cm (20 cm - 3 cm - 5 cm), and a height of 10 cm (14 cm - 4 cm). We can calculate the area of the rectangles with the formula below:
- Area of a rectangle = Base * height
Now, we're gonna replace the measurements in the formula.
<em>First rectangle:</em>
- Area of a rectangle = 3 cm * 14 cm
- <u>Area of a rectangle = 42 cm^2</u>
<em>Second rectangle:</em>
- Area of a rectangle = 5 cm * 14 cm
- <u>Area of a rectangle = 70 cm^2</u>
<em>Third rectangle:</em>
- Area of a rectangle = 12 cm * 10 cm
- <u>Area of a rectangle = 120 cm^2</u>
By last, we must add the area of the rectangles:
- Area of the polygon = 42 cm^2 + 70 cm^2 + 120 cm^2
- <u>Area of the polygon = 232 cm^2</u>
As you can see, <em><u>the area of the polygon in the picture is 232 cm^2</u></em>.
Answer:
15 pieces
Step-by-step explanation:
we see if we get 3 pieces from one bread then 5 will be 15
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Answer:
11
Step-by-step explanation:
First, write an equation to represent the situation.
34 = 2a + 12
This equation works because your combined age is half of 68, so 34. If your age is a, then yours sister's age is a + 12. if you add your age to your sister's, you get 2a + 12.
Now just solve for a.
34 = 2a + 12
First, subtract 12 from both sides.
22 = 2a
Then divide both sides by 2.
11 = a
So you are 11 years old. If you need to check your work, your age (11) plus your sister's age (11 + 12, which is 23) is 34, which is half of your grandfather's age.
