ANSWER
The value of x is,
EXPLANATION
We were given that the opposite angles of a parallelogram are
and
.
The opposite angles of a parallelogram are equal.
We can write the equation below in x and use to find the value of x.
We group like terms to obtain,
This implies that,
We divide both sides of the equation by 2 to obtain,
Answer:
m<HIG and alternate interior angles
HOPE IT HELPS
Answer: there are 70 dimes and 40 quarters.
Step-by-step explanation:
A dime is 10 cents
A nickel is 5 cents
A quarter is 25 cents
Let x represent the number of dimes at the bottom.
Let y represent the number of quarters at the bottom.
The city park employee collected 1,850 cents in nickels, dimes, and quarters at the bottom of a wishing well. If there were 30 nickels, it means that
10x + 25y + 30 × 5 = 1850
10x + 25y = 1850 - 150
10x + 25y = 1700- - - - - - - - -1
There is a combined total of 110 dimes and quarters. It means that
x + y = 110
Substituting x = 110 - y into equation 1, it becomes
10(110 - y) + 25y = 1700
1100 - 10y + 25y = 1700
1100 + 15y = 1700
15y = 1700 - 1100
15y = 600
y = 600/15
y = 40
x = 110 - y = 110 - 40
x = 70
Answer:
98°
Step-by-step explanation:
each half adds up to 180° so 103+28=131 then 180-131=49
and that would be just one of the bottom angles so you would double it to get 98
Density=mass/volume.
1) we have to calculate the iron volume in liters.
iron volume=second level - first level=49.10 ml-45.50 ml=3.6 ml
3.6 ml=3.6 ml(1 liter / 1000 ml)=0.0036 liters
2) we calculate the mass iron in kg.
28.5 g=28.5 g(1 kg /1000 g)=0.0285 kg.
2) we calculate the density of iron.
density=0.0285 kg / 0.0036 liters=7.92 kg/L
7.92 kg/l=7.92 kg/L(1000 g/1Kg)(1000 cm³/1 L)=7.92 g/cm³.
answer: From this information the Iron density is 7.92 Kg/L or 7.92 g/cm³.
