Answer:
b = 26°
Step-by-step explanation:
a ; b = complementary =>
a + b = 90° } => b = 90° - 64° = 26°
a = 64°
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.
B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127
We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y
In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5
x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5
So the cost of each student is $3.5, and the cost of each teacher is $5.
Hope this helps! :)
Answer:
200
Step-by-step explanation:
<u>Step 1: Add</u>
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
21 + 7 = 28
28 + 8 = 36
36 + 9 = 45
45 + 1 = 46
46 + 2 = 48
48 + 3 = 51
51 + 4 = 55
55 + 5 = 60
60 + 6 = 66
66 + 7 = 73
73 + 8 = 81
81 + 9 = 90
90 + 10 = 100
<em>100</em>
<u>Step 2: Multiply</u>
100 * 2
<em>200</em>
Answer: 200
Answer:
Choice D for Angle R
70 degrees for Angle P
Step-by-step explanation:
Google "central angles and inscribed angles geometry" for an explanation.
It's actually a poorly worded question.
Answer:
-2d-8
Step-by-step explanation:
