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.
That expression can’t be simplified and the answer is unknown. Finding what 3x+4y is impossible unless more information is provided.
<span>y = −2x + 13
y = 2x − 3
</span>−2x + 13 = 2x − 3
subtract 2x on both sides
−2x + 13 −2x = 2x − 3 - 2x
simplify
-4x + 13 = -3
subtract 13 on both sides
-4x + 13 -13 = -3 - 13
simplify
-4x = -16
divide both sides by (-4)
x = 4
substitute x = 4 into y = 2x − 3 to find y
y = 2x − 3
y = 2(4)− 3
y = 8 - 3
y = 3
answer
solution x = 4 and y = 3
hope it helps
Answer: 48
Step-by-step explanation: multiply
