A) Pine Road and Oak Street form a right angle, so we can extract the relation

where

is the distance we want to find (bottom side of the rectangle).
Alternatively, we can use the other given angle by solving for

in

but we'll find the same solution either way.
b) Pine Road and Oak Street form a right triangle, with Main Street as its hypotenuse. We can use the Pythagorean theorem to find how long it is.

Let

be the length of Main Street. Then

but of course the distance has to be positive, so

.
Answer:
6
Step-by-step explanation:
-6(2+a) = -48
-6 × 2 + -6 × a = -48
-12 - 6a = -48
-6a = -48 + 12
-6a = -36
a = -36/-6
a = 6
hope you understood!
Answer:
50 : 6 = x : 40 is the proportion
Step-by-step explanation:
50 : 6 = x : 40
x = 50 * 40 : 6
x = 333.33
--------------------------
check
50 : 6 = 333.33 : 40
8.33 = 8.33
The answer is good
If we want to simplify Algebraic Fractions:
We have to take a look at the numerator and the denominator
Why? Because to simplify we need to have a common multiple.
When we find the common multiple, we now know by which factor we have to break down the fraction in the numerator and the denominator
I have some examples attached below for help.
I hope this helps you
9x-2=12
9x=14
x=14/9
x= 1,555555
1 <1,5555 <2
B