Firstly,we need to understand the properties of a parallelogram:
-Opposite sides are parallel by .
-Opposite sides are congruent.
-Opposite angles are congruent.
-The diagonals bisect each other.
Therefore in this case:
XW must be congruent to YZ.
WZ must be congruent to XY.
Hope it helps!
Answer:
Therefore Josie drove 57.5 miles.
Step-by-step explanation:
Speed: The ratio of distance to time.
To find the distance we use the following formula
Given that Josie drove 45 minutes at 70 miles per hour.
In 45 minutes, she traveled = 
=52.5 miles.
The she drove 15 minutes at 20 mile per hour.
In 15 minutes, she traveled 
=5 miles
Therefore Josie drove (52.5+5) miles= 57.5 miles.
Answer:
7
Step-by-step explanation:
2v ÷ e + 3
we want to find the value of the expression when v = 10 and e = 5
to do so we substitute the values into the expression
2v ÷ e + 3
==> substitute 10 for v and 5 for e
2(10) ÷ 5 + 3
We now evaluate using bpemdas
==> multiply 2 and 10
20 ÷ 5 + 3
==> divide 20 by 5
4 + 3
==> add 4 and 3
= 7
Answer:
28 units sqr
Step-by-step explanation:
Area of Rectangle
A= Lw = 8(4) = 32
Area of Triangle
A= 
= 
= 4
32- 4 = 28 units sqr
Write an equation system based on the problem
For an instance, e stands for the price of a carton of eggs, and b stands for the price of a loaf of bread
"Kate bought 3 cartons of eggs and 5 loaves of bread for $30.07" could be written as 3e + 5b = 30.07 (first equation)
"Melissa bought 2 cartons of eggs and 2 loaves of bread for $14.74" could be written as 2e + 2b = 14.74 (second equation)
Solve the equation system using elimination method
Eliminate b to find e. To eliminate b, we should equalize the coefficient of b.
3e + 5b = 30.07 (multiplied by 2)
2e + 2b = 14.74 (multiplied by 5)
-------------------------------------------
6e + 10b = 60.14
10e + 10b = 73.70
------------------------- - (substract)
-4e = -13.56
e = -13.56/-4
e = 3.39
The price for a carton of eggs is $3.39
