Answer:
Step-by-step explanation:
we know that
In a parallelogram the diagonals bisect each other
The figure XYZW is a parallelogram
so
VW=VY
VX=VZ
<em>Find the value of b</em>
VW=VY
substitute the given values
solve for b
Find the length of YW
----> by addition segment postulate
substitute the value of b
Answer:
<2 = 75
<1 = 105
Step-by-step explanation:
<2 and 75 are alternate interior angles and since the lines are parallel, they are equal
<2 = 75
<2 + <1 = 180 since the angles form a line
75+ <1 = 180
Subtract 75 from each side
<1 = 180-75
<1 = 105
Answer:
RO = 39.5
Step-by-step explanation:
RO/9 = 57/13
13RO = 513
RO = 513/13
RO = 39.46
Answer:Black people
Step-by-step explanation:
Black people black people eating poopiebutt
Answers:
(a) p + m = 5
0.8m = 2
(b) 2.5 lb peanuts and 2.5 lb mixture
Explanations:
(a) Note that we just need to mix the following to get the desired mixture:
- peanut (p) - peanuts whose amount is p
- mixture (m) - mixture (80% almonds and 20% peanuts) that has an amount of m; we denote this as
By mixing the peanuts (p) and the mixture (m), we combine their weights and equate it 5 since the mixture has a total of 5 lb.
Hence,
p + m = 5
Note that the desired 5-lb mixture has 40% almonds. Thus, the amount of almonds in the desired mixture is 2 lb (40% of 5 lb, which is 0.4 multiplied by 5).
Moreover, since the mixture (m) has 80% almonds, the weight of almonds that mixture is 0.8m.
Since we mix mixture (m) with the pure peanut to get the desired mixture, the almonds in the desired mixture are also the almonds in the mixture (m).
So, we can equate the amount of almonds in mixture (m) to the amount of almonds in the desired measure.
In terms mathematical equation,
0.8m = 2
Hence, the system of equations that models the situation is
p + m = 5
0.8m = 2
(b) To solve the system obtained in (a), we first label the equations for easy reference,
(1) p + m = 5
(2) 0.8m = 2
Note that using equation (2), we can solve the value of m by dividing both sides of (2) by 0.8. By doing this, we have
m = 2.5
Then, we substitute the value of m to equation (1) to solve for p:
p + m = 5
p + 2.5 = 5 (3)
To solve for p, we subtract both sides of equation (3) by 2.5. Thus,
p = 2.5
Hence,
m = 2.5, p = 2.5
Therefore, the solution to the system is 2.5 lb peanuts and 2.5 lb mixture.
