Answer:
C
Step-by-step explanation:
x is the exterior angle of angle EFG while EFG = 180 - 62 - 43 = 75
—> x = 180 - 75 = 105
Ok? Where’s the rest of the question.
Answer:
|x-5|=2
Step-by-step explanation:
1- Find the mid value between the given numbers 3 and 7
(3+7)/2= 10/2 = 5
2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.
|5-3|= 2 or |7-5|=2
3- Arrange the absolute equation like this:
|x-mid value from step 1|= absolute difference from step 2
|x-5|=2
4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2
|3-5|=2 correct
|7-5|=2 correct
Answer:
AB // CD and AD // BC, then ABCD is a parallelogram
Step-by-step explanation:
Step 2: Show AD // BC
A = (-3 , 3) and D = (0 , 0)
Find the slope of AD
B = (2 , 5) and C = (5 , 2)
The slope of AD = the slope of BC
So AD // BC because they have the same slope
Step 3:
Each two opposite sides are parallel in quadrilateral ABCD
So the quadrilateral is a parallelogram
Answer:
125feet
Step-by-step explanation:
Given the equation that modeled the height expressed as h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds.
The arrow reaches the maximum height at dh/dt = 0
dh/dt = -32t + 80
0= -32t+80
32t = 80
t = 80/32
t = 2.5secs
substitute t = 2.5 into the formula;
h = -16t^2 + 80t + 25
h = -16(2.5)^2 + 80(2.5) + 25
h = -16(6.25)+225
h = -100+225
h = 125
Hence the maximum height the arrow reaches is 125feet
