Answer:
x is y less than z
Step-by-step explanation:
The given equation is x + y = z
This equation relates the whole numbers x, y, and z.
This equation can be rearranged to make x the subject of the formula or to make y the subject of the formula. When this is done, the relationship between the terms or numbers would be clearly expressed.
Making y the subject of the formula, it becomes
y = z-x (this shows that z is greater than y by x)
Making x the subject of the formula, it becomes
x = z-y (this shows that z is greater than x by y)
Looking at the options given, the correct comparisons between z and x is
x is y less than z
Suppose there is a rectangle with a width and length of x and y. The area would be xy.
A rectangle with width and length 2x and 2y would have an area of 4xy.
In essence, when you multiply the lengths by 2, the area multiplies by 2 SQUARED.
4(4(x+3)) = 16(x+3).
The ratio will be the same for any value of x because the area is still being multiplied by the same 2².
Answer:
x = pi n
Step-by-step explanation:
6 sec^2(x) − 6 = 0
Add 6 to each side
6 sec^2(x) − 6+6 = 0+6
6 sec^2(x)=6
Divide by 6
sec^2(x) = 1
Take the square root of each side
sqrt( sec^2(x) ) = ±sqrt(1)
sec(x) =± 1
sec (x) = 1 sec(x) = -1
Take the inverse sec of each side
sec^-1(sec (x)) = sec^-1(1) sec^-1(sec (x)) = sec^-1(-1)
x = 2 pi n x = pi + 2 pi n where n is an integer
Combining
x = pi n
Answer:
Q1. Regular (A)
Q2. 105° (C)
Q3. x=45°
Step-by-step explanation:
Q1. A regular polygon is a polygon with all sides and angles equal.
Q2. The sum of the measure of exterior angles of a polygon is always 360°. Therefore, 360°-255°=105°
Q3. 148°+112°+(2x+10)°+(2x)°+90°= Sum of angles in a pentagon.
<u><em>Note</em></u>: The square at the fifth angle shows that its a right angle which is 90°. Also all the angles are equal to the sum of angles in a pentagon 'cause the polygon has 5 sides ( a pentagon).
Sum of interior angles of a polygon is: (n-2)180°. Where "n" is the number of sides of the polygon.
Therefore the sum of interior angles is (5-2)180°=540°
solving the equation you have;
360°+4x=540°
4x=540°-360°
4x=180°
x=180°/4
x=45°
therefore x=45°
Answer:
2/3 ( 3x - 4 ) + 3x = 5/6
2x - 8/3 + 3x = 5/6
5x - 8/3 = 5/6
6(5x -8/3) = 6x5/6
30x - 16 = 5
<u> +16 +16</u>
<u>30x = 21</u>
30
x = 21/30
x = 0.7
Step-by-step explanation:
- distribute the bracket by 2/3
- combine like-terms
- multiply both sides by 6 (lcm of 3 and 6)
- add 16 to both sides
- divide both sides by 30 to get x
