Answer:
Step-by-step explanation:
B3)
z + 127 = 180 {linear pair}
z = 180 - 127
z = 53
y= 55 {Corresponding angles}
w + z + y = 180 {angle sum property of triangle}
w + 53 + 55 = 180
w + 108 = 180
w = 180 -108
w = 72
x = w {Vertiaclly opposite angles}
x = 72
B4) q + 101 = 180 {Linear pair}
q = 180 -101
q = 79
p = 142 {Corresponding angles}
p + s = 180 {linear pair}
142 + s = 180
s = 180 - 142
s = 38
s +q +r = 180 {angle sum property of triangle}
38 + 79 + r = 180
117 + r = 180
r = 180 - 117
r = 63
y + 63 = 180 {linear pair}
y = 180 - 63
y = 117
x = q = {corresponding angles}
x = 79
Answer:
There are 7 cups of soup left in the pot
Step-by-step explanation:
Firstly, we need to know the number of cups of soup made.
Since 1 quarts = 4 cups, the number of cups her 4 quarts is would be 4 * 4 = 16 cups
Now she served 1.5( 1 1/2 = 1.5) to 6 people, her total servings is thus 6 * 1.5 = 9 cups
What is remaining is thus 16 cups - 9 cups = 7 cups
Answer:
9 containers of frosting
Step-by-step explanation:
25 x 18 x 4, gives you 1800 square inches, divide 1800 by 200 and you get 9
Answer:
Option "A" is correct
Step-by-step explanation:
P(A) probability of event A is true
P(B) probability of event B is true
P(AB) probability of event AB is true
P(BA) probability of event BA is true
P(AB)= (BA) × (A)/(B)
Answer:
The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2
The rule of arithmetic sequence = a + d(n - 1)
Where a is the first term and n is the number of terms
So, for the even numbers between 0 and X
The first term = a = 0
d = 2
So, we need to find n at the last term which is X
∴ X = 0 + 2 ( n -1 )
∴ n - 1 = X/2
∴ n = X/2 + 1
The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)
Substitute with a and d and X
So, the sum = (n/2) * (2*0 + (n−1)*2)
= (n/2) * ((n−1)*2)
= n(n-1)
= (X/2 + 1) * (X/2)
= X/2 by (X/2 + 1)
So, The quick way to add all even numbers between 0 and X always works.
