Answer:
X = 44
because the bottom triangle's sides are equal, which means that both angles are equal. so you can add 68 to 68 and get 136. then you need to subtract it by 180 to get the final angle which is 44 and because there is a vertical pair of angles, they both equal the same value. So for the top triangle because both sides are also equal it will make both corner angles equal to each other.
Answer:
2=x
Step-by-step explanation:
8(4-x)=7x+2
Distribute
32 - 8x = 7x+2
Add 8x to each side
32 - 8x+8x = 7x+8x+2
32 = 15x+2
Subtract 2 from each side
32-2 = 15x+2-2
30 = 15x
Divide each side by 15
30/15 = 15x/15
2 =x
Her total allowance as a fraction could be expressed by 9/9. When you subtract the amount that she used, 4/9, you are left with 5/9, which is the solution.
Answer:
You will likely need to actually measure a few people for parts 1 and 2, but the statement in part 2 should be something like "The length of the forearm of one person will be very similar to the length of their foot" or "As the length of the forearm increases, the length of the foot will increase in similar amounts".
Since the equation in pt.3 is y = 0.860x + 3.302, if x=17, then 0.860(17) + 3.302=17.922
The next question is dependant on pt.1
The data from pt.1 should be somewhat similar to the data you collected, the values between them are different because of the allowed error margin between the two.
The data can be made into a function using the "line of best fit". The equation in part A represents a function because there are no two points where two y coordinates are on the exact same x coordinate.
Step-by-step explanation:
Answer:
There are 65 dimes. There are 55 nickels.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of dimes
y is the number of nickels.
There are a total of 120 coins in the bag
This means that x + y = 120.
The total value of the coins is $9.25.
The dime is worth $0.10 and the nickel is worth $0.05. So
0.1x + 0.05y = 9.25
System:


From the first equation:

Replacing in the second:







There are 65 dimes. There are 55 nickels.