Before we begin, let's identify what kind of angles these are and are they related in any way?
These angles are both acute and they are both corresponding angles.
Corresponding angles are equal to each other, and we can use this fact to our advantage.
Since they are equal to each other, we can set the equations of 1 and 2 equal to each other. Like so,
1 = 2
83 - 2x = 92 - 3x
Now, we can solve for X by isolating it on one side.
83 - 2x = 92 - 3x
Add 3x to each side: (This basically moves the X on the right side to the left.)
83 - 2x + 3x = 92 - 3x + 3x
83 + x = 92
Subtract 83 on each side to isolate the X.
83 + x - 83 = 92 - 83
x = 92 - 83
x = 9
Therefore, X equals 9. To check our work, we can substitute X for 9.
83 - 2(9) = 92 - 3(9)
83 - 18 = 92 - 27
65 = 65 -
TRUE
So to conclude, Angle 1 is 65 degrees, Angle 2 is 65 degrees, and X equals 9.
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Answer:
$24.5 = 1 tank
Step-by-step explanation:
All you have to do is multiply.
Since 12.5 gallons = 1 tank,
and $1.96 = 1 gallon
to get the answer, the equation would be,
$1.96*12.5 = 1 tank
$24.5 = 1 tank
Hope it helps!!
Answer:
81x^4
Step-by-step explanation:
With exponents, whatever is in the parentheses is multiplied by <u>itself</u> however many times the exponent says.
In this case, you would be solving 3 x 3 x 3 x 3 and (x)^4.
3^4 = 81 with x^4 gives you:
81x^4
Hope this helps you :)
Answer:
13
Step-by-step explanation:
a = 5
b = -8
5 - -8 = 13
Answer:
a. tanB= 3/2
Step-by-step explanation:
tanA= p/b =:2/3
For angle A,
p= 2
b=3
For angle B,
p = 3
b=2
So, TanB = 3/2