11. The two angles are vertical angles, which mean they are equal to each other.
14x - 5 = 13x
Add 5 to both sides:
14x = 13x + 5
Subtract 13x from both sides:
x = 5
12. The two angles are supplementary and when added together need to equal 180 degrees.
5x -20 + 3x = 180
Combine like terms:
8x -20 = 180
Add 20 to both sides:
8x = 200
Divide both sides by 8:
x = 200 /8
x = 25
(a) Calculate the vertical distance between the eagle and the seahorse.
Answer a: 11.38 meters is the vertical distance between them.
(b) Describe Adrian's position from the sea level.
Answer b: Adrian is 1.13m below the sea level.
Step-by-step explanation:
(a) Since sea level is the origin of coordinates. distances above sea level are positive and distances below sea level are negative. The distance between two points is the difference between them.
The vertical distance between the eagle and the seahorse is the difference between their positions:
Distance = 4.56m - (-6.82m) = 4.56m + 6.82m = 11.38 meters
Answer a) 11.38 meters is the vertical distance between them.
(b) Adrian's position is in the middle of the distance between the eagle and the seahorse:
Middle = 11.38m/2 = 5.69m
Since 5.69m is more than 4.56m above the sea level, then Adrian is below the sea level:
4.56m - 5.69m = -1.13m
Answer b: Adrian is 1.13m below the sea level.
<h2><em>Spymore</em></h2>
Answer:
x=4.5.
The slope is undefined. Thus the y variable is irrelevant. It appears as though the line crosses through 4.5 on the x axis making the equation
x = 4.5
Answer:
1
pages
Step-by-step explanation:
Since the concert promoter started with 2
pages of ads but had to cancel 1
, subtracting the cancelled amount from the original amount will give the amount of advertising space the promoter is now actually using:
2
= 2 
- <u>1
</u> - <u>1
</u>
1
pages
In order to subtract fractions, you need to have like denominators, so you need to convert
into an equivalent fraction with a denominator of '8'. Since 4 x 2 = 8, then you also need to multiply the numerator by the same factor: 3 x 2 = 6.
Answer:
Khannas salary is $547
Step-by-step explanation
Literally all you have to do is subtract 584 by 37.