The answer is N/2 + 8 = C.
Answer:
a = 16
b = 
Step-by-step explanation:
Length of the design 16 inches is represented by the point (0, 16) and length of 12 inches by (1, 12).
That means these points lie on the graph of the function 'f' represented by,
f(x) = a(b)ˣ
For the point (0, 16),
f(0) = a(b)⁰
16 = a(1)
a = 16
For another point (1, 12),
f(1) = a(b)¹
12 = ab
12 = 16(b) [Since a = 16]
b = 
b =
Therefore, values of a and b are 16 and respectively.
Answer:
The measure of these two angles are 80° and 100°
Step-by-step explanation:
Let
x and y ----> the measure of the same side angles
we know that
The sum of of the same side angles of two parallel lines is equal to 180 degrees
x+y=180° -----> equation A
x=y-20° ----> equation B
substitute equation B in equation A and solve for y
(y-20°)+y=180°
2y=180°+20°
y=200°/2
y=100°
Find the value of x
x=100°-20°=80°
Answer: No
Step-by-step explanation:
Three of the other angles are 45°. The other four are 180° - 45°, which is not 55°. At the intersection of two lines, opposite angles are equal and adjacent angles are complementary, so two adjacent angles add to 180°. Adding a parallel line gives four more angles identical to the first four.
Answer:
1st odd = 71
2nd odd = 73
3rd odd = 75
Step-by-step explanation:
As numbers are consecutive odd so let:
1st odd = x
2nd odd = x + 2
3rd odd = x + 4
According to given condition:
x + x +2 + x + 4 = 219
Adding like terms
3x + 6 = 219
Subtracting 6 from both sides
3x + 6 -6 = 219-6
3x = 213
Dividing both sides by 3
x = 213/3
x = 71
So the numbers will be:
1st odd = x = 71
2nd odd = x + 2 = 71 + 2 = 73
3rd odd = x + 4 = 71 + 4 = 75
Proof:
1st odd + 2nd odd + 3rd odd = 219
71 + 73 + 75 = 219
219 = 219
Hence proved!
I hope it will help you!
