Answer:
The slope is 1/2.
Step-by-step explanation:
All you have to do is see what is being multiplied by x, and that will be your slope. The number after is your "b"
A linear pair is a pair of angles that form a line. And since they form a line, when added, they equal 180.
x = one angle....y = the other one
x + y = 180
x = y + 26
time to sub
y + 26 + y = 180
2y + 26 = 180
2y = 180 - 26
2y = 154
y = 154/2
y = 77 <=== this is one angle
x = y + 26
x = 77 + 26
x = 103 <=== and the other one
Answer:
16.1 cm (nearest tenth)
Step-by-step explanation:
<u>Pythagoras’ Theorem</u>
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
Substitute the given values into the formula and solve for c:
6^2/2(3)+4
Follow the order of operations, (GEMDAS) which goes like this:
<em>grouping, exponents, multiplication/divison, addition/subtraction
</em>
First up is our grouping, specifically parentheses. While we do have parentheses in our expression there isn't anything going on <em>inside</em> of them that we'd have to do first. (The 2(3) is another way of writing 2×3.)
Next we have exponents, which would be our 6^2. (6 squared)
When something is squared, that means it is multiplied by itself. 6^2 = 6×6 = 36.
Now our expression is 36/2(3)+4.
Next we need to handle the multiplication and division. (order doesn't matter)
The best way to do this is from left to right. The 36/2 = 18...
Then 18(3) = 54.
If we took 36(3) then divided by 2 we would get the same answer.
However, what you <em>cannot</em> do is multiply the 2(3), simply because the 2 is a denominator of a fraction. If you don't know what this is or why, it's okay--just always do it left to right and you'll never have to worry about it.
Now our expression is 54+4.
Finally, we can handle the addition/subtraction. 54+4 leaves us with 58.
