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2 years ago

What are questions 10-15?

Mathematics

1 answer:

AfilCa [17]2 years ago

6 0

Answer:

10. 105

11. 75

12. 75

13. 105

14. 75

15. 105

Step-by-step explanation:

Notice that 75? Anything that is adjacent (has a common vertex like 75º) to the vertex is a linear pair. here is an example below:

Since there is only THAT 75, you must find the supplementary angle (adds up to 180). and remember in order to get a supplementary angle it has to be a STRAIGHT LINE and HAS TO EQUAL 180. (4, 1 in your image)

180 - 75 = 105.

and also it's also a linear pair so it reflects too which makes things a lot easier!

So, if 4 is 75 and it reflects, then that means 2 is also 75. 1 is 105 and it reflects so 3 has to be 105. and the same for the rest of the numbers.

Hope this makes sense

~R3VO

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Find the distance round to the nearest tenth (-8, -6) (-3,-2)

lina2011 [118]

Answer:

$\displaystyle d \approx 6.4$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (-8, -6)

Point (-3, -2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-3+8)^2+(-2+6)^2}$
[√Radical] (Parenthesis) Add: $\displaystyle d = \sqrt{(5)^2+(4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{25+16}$
[√Radical] Add: $\displaystyle d = \sqrt{41}$
[√Radical] Evaluate: $\displaystyle d = 6.40312$
Round: $\displaystyle d \approx 6.4$