Answer:
B
Step-by-step explanation:
Supplementary angles sum to 180°, hence
3x + 9 + 2x + 2 = 180, that is
5x + 11 = 180 ( subtract 11 from both sides )
5x = 169 ( divide both sides by 5 )
x = 33.8
Hence the smaller angle has a measure of
2x + 2 = (2 × 33.8) + 2 = 67.6 + 2 = 69.6° → B
Answer:
8,840
Step-by-step explanation:
Multiply 4420 by 200% to get the answer 8840. You can also multiply 4420 by 2 to get the same answer as you would multiplying by 200%.
140 (number of customers) * .65 (% of customers who ordered a large coffee) = 91 customers who ordered a large coffee
We are given the following data
x y
1 4.5
2 6.75
3 10.125
4 15.1875
To get the multiplicative rate of change, we pick out two pairs of data so,
MROC = 6.75/4.5 / (2 - 1)
MROC = 1.5
The answer is 1.5
Answer:
Step-by-step explanation:
10) The opposite sides of a parallelogram are equal. It means that
a + 15 = 3a + 11
3a - a = 15 - 11
2a = 4
a = 4/2 = 2
Also,
3b + 5 = b + 11
3b - b = 11 - 5
2b = 4
b = 4/2 = 2
11) The opposite angles of a parallelogram are congruent and the adjacent angles are supplementary. This means that
2x + 11 + x - 5 = 180
3x + 6 = 180
3x = 180 - 6 = 174
x = 174/3 = 58
Therefore,
2x + 11 = 2×58 + 11 = 127 degrees
The opposite angles of a parallelogram are congruent, therefore,
2y = 127
y = 127/2 = 63.5
12) The diagonals of a parallelogram bisect each other. This means that each diagonal is divided equally at the midpoint. Therefore
3y - 5 = y + 5
3y - y = 5 + 5
2y = 10
y = 10/2 = 5
Also,
z + 9 = 2z + 7
2z - z = 9 - 7
z = 2
