Answer:
x = 34
∠S = 38
∠T = 111
Step-by-step explanation:
Angles in a triangle add up to equal 180
If ΔRST is a triangle and ∠R, ∠S and ∠T are angles in that triangle
Then ∠R + ∠S + ∠T = 180
That being said we want to create an equation to solve for x
If angles in a triangle have a SUM of 180
Then, 31 + x + 4 + 3x + 9 = 180
We now solve for x
Step 1 combine like terms
31 + 4 + 9 = 44
x + 3x = 4x
we now have 44 + 4x = 180
step 2 subtract 44 from each side
44 - 44 cancels out
180 - 44 = 136
We now have 136 = 4x
Step 3 divide each side by 4
4x / 4 = x
136 / 4 = 34
We're left with x = 34
Now we want to find the measures of ∠S and ∠T
To do so, we substitute 34 for x in their given expression
∠S = x + 4
* substitute 34 for x *
∠S = 34 + 4
34 + 4 = 38
Thus ∠S = 38°
∠T = 3x + 9
* substitute 34 for x *
∠T = 3 ( 34 ) + 9
34 * 9 - 102
102 + 9 = 111
Thus, ∠T = 111°
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Answer:
80
Step-by-step explanation:
Sum of interior angles of a polygon = (n-1)x180= (6-2)x180=720
Since this looks like a regular hexagon each interior angle =720/6=120
Hence the inside angle touching the line is 120 (inside the hexagon)
Since one side of the hexagon is parallel to the line, y and 20 form adjacent angle, sum 180,
Then y= 180-20=160
Then x=360-(160+120)=80 because sum of all angles round a point=360
Step-by-step explanation:
The distance traveled varies directly with the time spent in motion. If d is distance and t is time taken. Then,
or
k is the constant of variation
If d = 150 miles and t = 4 hours
