<span>With 1026 being the mean score on the SAT and StDev of 209, Jessica has a score of 799/209 z-scores above the mean. Her z-score would be 3.823. The mean of the ACT and StDev are 20.8 and 4.8, respectively. A 28 ACT score would be 7.2/4.8 z-scores above the mean, for a z = 1.500. This means that Jessica has the higher z-score.</span>
Answer:noooooooooooooooooooo
Step-by-step explanation:
450/30
15
15/3x =5
x= 5
5+2y= 315
5-5+2y =315-5
2y = 310
2y/2 = 310/2
y=155
Step-by-step explanation:
450/45
10
2x+4y=450
2×5=10
10+(4×155)
=620/155
=4
10/5=2
Answer:
cost to make paper signs = $1
cost to make laminated signs = $2
Step-by-step explanation:
Let
x = cost to make paper signs
y = cost to make laminated signs
8x + 2y = 12 (1)
10x + 10y = 30 (2)
Multiply (1) by 5
40x + 10y = 60 (3)
10x + 10y = 30 (2)
Subtract (2) from (3) to solve for x
40x - 10x = 60 - 30
30x = 30
x = 30/30
x = $1
Substitute x = 1 into (1)
8x + 2y = 12
8(1) + 2y = 12
8 + 2y = 12
2y = 12 - 8
2y = 4
y = 4/2
y = $2
cost to make paper signs = $1
cost to make laminated signs = $2
Answer:
Step-by-step explanation:
Properties of a kite;
1). A kite has one pair of equal angles.
2). A kite has two pairs of adjacent sides.
3). Diagonals of a kite intersect at 90°.
4). Kite has at least one diagonal that bisects the opposite angles.
It's given in the question,
m∠ABC = 70° and m∠ADC = 46°
By the property number -4,
m∠2 = m∠3 = 
= 35°
m∠8 = m∠9 = 
= 23°
By the property number - 3,
m∠4 = 90°
By the property of interior angles in a triangle,
m∠3 + m∠4 + m∠5 = 180°
35° + 90° + m∠5 = 180°
125° + m∠5 = 180°
m∠5 = 55°
Similarly, m∠1 + m∠2 + 90° = 180°
m∠1 + 35° + 90° = 180°
m∠1 = 55°
Now m∠6 + 90° + m∠8 = 180°
m∠6 + 90° + 23° = 180°
m∠6 = 180 - 113 = 67°
Therefore, m∠6 = m∠7 = 67°
