Answer:
x = 90
y = 100
z = -10
Step-by-step explanation:
To find x and y in the above parallelogram ABCD as shown above, recall that one of the properties of a parallelogram is: the consecutive angles in a parallelogram are supplementary.
This means that the sum of angle A and angle B in the parallelogram ABCD = 180°.
Thus,
(x + 30)° + (x - 30)° = 180°
Solve for x
x + 30 + x - 30 = 180
x + x + 30 - 30 = 180
2x = 180
Divide both sides by 2
2x/2 = 180/2
x = 90
=>Find y:
Also, recall that opposite angles in a parallelogram are congruent.
This means, angle A and angle C in parallelogram ABCD above are equal.
Thus,
(x + 30)° = (y + 20)°
Plug in the value of x to solve for y
90 + 30 = y + 20
120 = y + 20
Subtract 20 from both sides
120 - 20 = y
100 = y
y = 100
=>Find z, if z = x - y
z = 90 - 100
z = -10
Answer:
don't press that link
Step-by-step explanation:
Answer:
B) 1
Step-by-step explanation:
The smallest integer larger than 0.6 is 1.
___
The funny single-ended brackets signify the "ceiling" function. If the bent end is at the bottom, the "floor" function is indicated. The "ceiling" function returns the smallest integer not less than the given value. The "floor" function returns the largest integer not greater than the given value.
These are more commonly used than you might think. For example, the charge in a parking lot may be for a number of hours or fraction thereof. That is an expression of the ceiling function applied to hours. In this problem, that would mean that parking for 0.6 hours would be charged as 1 hour.
Answer:
y = 150
Step-by-step explanation:
y varies inversely as x²
yx² = k
----------------
y = 6 when x = 30
6(30²) = k
6(900) = 5400
--------------------------
what is y when x = 6
y(6²) = 5400
y(36) = 5400
y = 5400/36
y = 150
