To find the value of x, and then find the angles of triangle RST, we first need to set up an equation equal to 180.
First, the equation = 180:
We have 31, x+4, and 3x+9.
What we can do is make an equation in which adds the angles to equal 180.
As so:
31 + x + 4 + 3x + 9 = 180
Combine like terms:
31 + x + 4 + 3x + 9 = 180
44 + x + 3x = 180
44 + 4x = 180
Now, we need to simplify this further by subtracting 44 from each side:
44 - 44 + 4x = 180 - 44
4x = 136
Next, to simplify this equation <em>even</em> further, we need to divide each side by 4 (Resulting in the x being alone on one side of the equation.)
4x / 4 = 136 / 4
x = 136 / 4
x = 34
Awesome! We now know that x = 34!
However, we are not completely finished with this problem. Let's continue.
To find the angles of S and T, we need to substitute 34 in for x:
S:
(x + 4)
(34 + 4)
38 <em>degrees</em>
T:
(3x + 9)
(3(34) + 9)
(102 + 9)
111 <em>degrees
</em>
<em />Amazing! We now can conclude all of the angles' measurements:
<em>R</em> = 31
<em>S</em> = 38<em>
</em><em>T = </em>111
Also, x = 34.
Hope I could help you out! If my math is wrong or it isn't the answer you were looking for, please let me know!
Have a good one.
Answer:
x=26°
Step-by-step explanation:
6x+(x-2)=180 (because together they form a straight angle which is 180°)
solve:
6x+x-2=180
7x-2=180
7x=182
x=26
Answer:
Step-by-step explanation:
we know that
In a join variation, If j varies jointly with respect to g and v, the equation will be of the form 
where k is a constant
step 1
Find the value of k
we have
j=2,g=4,v=3
substitute and solve for k
The equation is equal to
step 2
Find the value of j when g=8,v=9
substitute the values in the equation and solve for j
Answer:
Point A
Step-by-step explanation:
count 3.5 steps into the negative x direction(left), then count 4.5 steps into the negative y direction(down).
