dctjr
09.12.2020 •
Mathematics
Find the measure of each exterior angle of the regular polygon.
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Ответ:
Exterior Angle 1 (2x-10): 140 degrees
Exterior Angle 2 (x+25): 130 degrees
Exterior Angle 3 (right angle): 90 degrees
Step-by-step explanation:
Givens:
Angle 3 = 90 degrees
Angle 1 + Angle 2 + Angle 3 = 180 degrees
Angle 1/2/3 + exterior angle = 180 degrees -> 180 - Angle1/2/3 = exterior angle
Step 1: Solving for x.
1. Using the first equation above, substitute the angles.
(2x-10) + (x+25) + 90 = 180
2. Combine like terms.
3x + 105 = 180
3. Solve for x.
3x = 75
x = 25
Step 2: Solving for angle 1 and 2.
Plug 25 in for x for both angles
Angle 1:
(2(25)-10) = 40 degrees
Angle 2:
((25)+25) = 50 degrees
Step 3: Solving for exterior angles.
Plug in the knowns to the second equation above and solve.
Angle 1:
180 - 40 = 140 degrees
Angle 2:
180 - 50 = 130 degrees
Angle 3:
180 - 90 = 90 degrees
I hope this helps!
Ответ:
x=25
Step-by-step explanation:
90+2x-1-+x+25=180
3x+105=180
-105 -105
3x/3=25/3
Meaning x=25
Ответ:
Step-by-step explanation:
This problem gives one the following equation to model the graph of a line: (). The problem asks one to find the value of (x) when (y=0). Rather than using the graph, an easier way to solve this problem is to substitute (0) in for the value of (y) and then solve for (x) using inverse operations.
Substitute,
Inverse operations,
Round:
As one can see on the graph, this result is very close to the value at which the graph intersects the (x) axis. Thus, one can conclude that (x) does indeed approximately equal (1.4)