Answer:
HJ = 8 JE = 4
Step-by-step explanation:
it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.
HJ= 1/2 (GF)
x + 3 = 1/2 (4x - 4)
x + 3 = 2x - 2
x = 5
^ Thus meaning the value of x is 5.
Now you just fill into your equations:
HJ = x + 3 = (5) + 3 = 8
JE = x - 1 = (5) - 1 = 4
Therefore, HJ = 8; JE = 4.
I got the answer Antonio had a head start of 3 meters.
Answer:
22
Step-by-step explanation:
Solve the inequality (20 + 0.5x) + 0.15(20 + 0.5x) ≤ $62.10 for x:
20 + .5x + 3 + 0.75x ≤ 62.10
Combining the x terms, we get:
20 + 3 + 1.25x ≤ 62.10.
Combining the constants on the left:
23 + 1.75x ≤ 62.10
Combining the constants:
1.75x = 39.10
Solving for x: 39.10/1.75 = 22.34
Thus, the max number of whole pages she can have in her book is 22.
Answer:
A) 3.5
B) 1.6202
Step-by-step explanation:
In binomial distribution,
E(X) = np and Var(X) = npq while
SD (X) = √(npq)
Where n is number of cards drawn
p is probability of getting one particular shape
q = 1-p
So from the question, n = 14
p = 13/52 = 1/4
q = 1-(1/4) = 3/4
So;
A) E(x) = np = 14 x 1/4 = 3.5
B) SD (X) = √(npq) = √(14 x 1/4 x 3/4) = √(42/16) = √2.625 = 1.6202
If it takes yards and turns it into feet then it just multiplies it by 3
so if the input is 10.5 then you just multiply it by three
31.5 feet is the imput
