Answer:
AB+BE+EF+GF+HG+AH = 14 #EQU 1
BC+CD+DE+EF+GF+BG = 22 #EQU 2
AB+BC+CD+DE+EF+GF+HG+AH = 24 #EQU 3
IMPLEMENTING EQU 2 IN EQU 3
AB+22-EF+ HG+AH = 24 # EQU 5
FROM EQU 1
AB+HG+AH = 14-(BE+EF+GF) #EQU 4
IMPLEMENTING EQU 4 IN EQU 5
22+14 - (BE+EF+GF+EF) = 24
36 - 24 = BE+EF+GF+BG(EF=BG)
12 = PATH TAKEN ON THURSDAY
Answer:
m<C = 56°
m<D = 124°
Step-by-step explanation:
Of CDEF is a parallelogram then the sum of angle m<C and angle m<D must be equal to 180°
4x + 28 + 17x + 5 = 180 add like terms
21x + 33 = 180 subtract 33 from both sides
21x = 147 divide both sides by 21
x = 7 now to find the measure of each angle replace x with 7
The perimeter is composed of two straight parts and two semicircles. We can use this to break down the problem.
We can find the straight parts easily. They are given in the problem.
straight parts: 82 x 2 = 164 m
The two semicircles make a circle. We just have to find the circumference of a circle with a diameter of 66 cm to get the length of the semicircles.
semicircles: 2(π)(66/2) = 66(3.14) = 207.24 m
answer: 164+207.24 = 371.24 m
Answer:
So a bag of chip costs $2.39
Step-by-step explanation:
Let x = cost of a bag of chip
Let y = cost of a box of pretzel
Micheal buys two bags of chips and three boxes of pretzels for $5.13
This means
2x + 3y = 5.13 - - - - - - - - - -1
He then buys another bag of chips and 2 boxes of pretzels for $3.09
This means
x + 2y = 3.09 - - - - - - - - - - - -2
Solving equation 1 and equation 2 simultaneously and using the elimination method,
Multiply equation 1 by 1 and equation 2 by 2
2x + 3y = 5.13
2x + 6y = 6.18
Subtracting,
-3y = -1.05
y = -1.05/-3= $0.35
Put y= 0.35 in equation, x + 2y = 3.09
x + 2(0.35)= 3.09
x + 0.7= 3.09
x = 3.09-0.7 = $ 2.39
So a bag of chip costs $2.39
1.)There is one outlier, indicating very few books were checked out on that day
This is because there is one day where only 2 books were checked out while on all of the other days 35-45 books were checked out.
2.) 0; it represents no correlation between x and y
This is because no matter the age they could answer 17 questions
Hope this helps!
