Step-by-step explanation:
As it is a quadrilateral so sum of all angles of quadrilateral is equal to 360°
14x - 11° + 8x + 7° + 5x + 18° + 10x + 13° = 360°
37x+ 27° = 360°
37x = 360° - 27°
37x = 333°
x = 333° / 37
Therefore x = 9°
Now
<B = 8 * 9° + 7° = 79°
Hope it will help you.
Answer: There is no need to round in this case, but 159% of 980 is 1558.2.
<h2><u>Given</u>:-</h2>
Angle B = 90°
Angle C = 67°
<h2><u>To</u> <u>find</u>:-</h2>
Angle A.
<h2><u>Solution</u>:-</h2>
✅
<h2><u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:-</h2>
We know that,
➪ ∠ A + ∠ B + ∠ C = 180°
➪ ∠ A + 90° + 67° = 180°
➪ ∠ A + 157° = 180°
➪ ∠ A = 180° - 157°
➪ ∠ A = 23°
<h2>
<u>To </u><u>verify</u>:-</h2>
∠ A + ∠ B + ∠ C = 180°
✒ 23° + 90° + 67° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
<u>Note</u>:-
Please refer to the attached file.
11.81 dollars the way i got this is 5.25 multiplied by 2 is 10.30 and 15 divided by 60 is 4 so 1/4 times 5.25 is 1.31 which was rounded that is why it is 11.81 dollars.
Answer:
x=133 y=-25
Step-by-step explanation:
I'll do both ways for you. So let's start with Substitution:
With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.
x + 2y = 83 & x + 5y = 8
Solve for x.
x = 83 - 2y & x = 8 - 5y
Once you have solved for x, set each equation equal to one another and solve for y now.
83 - 2y = 8 - 5y
Isolate all variables to one side:
83 = 8 - 3y
Now subtract the 8 to fully isolate the y variable:
75 = -3y
Divide by -3:
-25 = y Now that you have your first variable, plug it into one of the original equations and solve for x.
x + 2(-25) = 83
x - 50 = 83
x = 133
Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:
Put each equation on top of one another and subtract:
x + 2y = 83
- (x + 5y = 8)
The x's will cancel out:
(x - x) + (2y - 5y) = (83 - 8)
Simplify:
-3y = 75
Solve for y
y = -25
Then, plug y = -25 into one of the original equations:
x + 5(-25) = 8
Solve for x:
x - 125 = 8
x = 133
Hope this helps!
