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
1/5 discount = 4/5 price of washing machine
4/5 × 1200 = $960
a. 6, 8, 10, 12, 14
Work:
a_1 = 2(1) + 4
a_1 = 6
a_2 = 2(2) + 4
a_2 = 8
a_3 = 2(3) + 4
a_3 = 10
a_4 = 2(4) + 4
a_4 = 12
a_5 = 2(5) + 4
a_5 = 14
b. 500
Work:
Since the common difference is 2, we can add 2 to each number until we reach the 20th term.
6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 = 500
Answer: a=-4
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Since the entire line is 60 and MN is five times as long. Then I would say that you could just divide 60 by 1/5 or 0.2
