Answer:
a) 4x + 76 = 180 (x = 26)
b)
- m<1 = 102
- m<2 = 78
Step-by-step explanation:
First we know 4x + 76 = 180. The reason for that is we know angle one plus angle two = 180 so 3x + 1x + 76 has to equal 180.
We can solve for x now.
4x + 76 = 180.
Subtract 76 to maintain equality on both sides.
4x = 104.
x = 26
Now we can get the angles.
For angle #1 let's substitute x as 26.
angle one = 26 + 76.
angle one = 102
For angle #2 let's substitute x as 26.
angle two = 3(26)
angle two = 78
Let's check!
78 + 102 = 180.
180 = 180 YES
Well, this took some time :)
Simplifying
6.4n + -10 = 4.4n + 6
Reorder the terms:
-10 + 6.4n = 4.4n + 6
Reorder the terms:
-10 + 6.4n = 6 + 4.4n
Solving
-10 + 6.4n = 6 + 4.4n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-4.4n' to each side of the equation.
-10 + 6.4n + -4.4n = 6 + 4.4n + -4.4n
Combine like terms: 6.4n + -4.4n = 2n
-10 + 2n = 6 + 4.4n + -4.4n
Combine like terms: 4.4n + -4.4n = 0.0
-10 + 2n = 6 + 0.0
-10 + 2n = 6
Add '10' to each side of the equation.
-10 + 10 + 2n = 6 + 10
Combine like terms: -10 + 10 = 0
0 + 2n = 6 + 10
2n = 6 + 10
Combine like terms: 6 + 10 = 16
2n = 16
Divide each side by '2'.
n = 8
Simplifying
n = 8
<em>-ur local skatergirl, Rin:)</em>
Let month be y
Let inches be x
y = 1/2x + 16
Answer:
111.7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that in triangle ABC, A=25, C=55 and AB=60. We are asked to find the approximate measures of the remaining side lengths of the triangle.
We will use Law of Sines to solve for side lengths of given triangle.
, where a, b and c are opposite sides corresponding to angles A, b and C respectively.
Upon substituting our given values, we will get:
Therefore, the measure of side 'a' is approximately 31 units.
We can find measure of angle B using angle sum property as:
Therefore, the measure of side 'b' is approximately 72 units.
