The answer is x=3.6 or 3 3/5.
First we convert the decimal answer to a fraction; 0.9 is read as "nine tenths," so the corresponding fraction is 9/10:
1 5/6 - (x - 7/12) + 2 1/12 = 9/10
Now we find a common denominator. The first thing that 6, 12 and 10 will all divide into is 60:
1 50/60 - (x - 35/60) + 2 5/60 = 54/60
Distributing the negative, we have:
1 50/60 - x + 35/60 + 2 5/60 = 54/60
Combining like terms, we have:
-x + 4 30/60 = 54/60
Subtracting 4 30/60 from each side, we have:
-x + 4 30/60 - 4 30/60 = 54/60 - 4 30/60
-x = -3 36/60
Divide both sides by -1:
-x/-1 = (-3 36/60)/-1
x = 3 36/60 = 3 3/5 = 3.6
Answer: B. They have corresponding sides that are congruent.
Step-by-step explanation: Sorry I took awhile, I was finishing 5 quizizzs, anyways, it's B
Hope this helps :D
Step-by-step explanation:
Area of a trapezoid is 1/2h(b1+b2)
Height is 8 in. Base 1 is 5 in and Base 2 is 10 in. Do not use the diagonal side.
For the triangle-scalene triangle area formula is bh/2 (base times height divided by 2) The base is 5 in and the height is 4 inches.
For the paralellogram multiply base by height. 6 multiplied by 5 is 30
If 1 pint is equal to 2 cups then 5 pints equals 10 cups
5 times 2 equals 10.
Answer:
The sum of the two numbers is 15
Step-by-step explanation:
Let the counting numbers be x and y.
Then we can write the following equations
x=4y.......1 (one is four times greater )
x(y)=36.....2 (the product of the two)
Putting equation 1 into equation 2, we get
4y(y)=36
Dividing through by 4,we get
Taking square root of both side, we obtain
y=3
Putting the value of y into equation , we get
x=4(3)=12
Hence the numbers are 3 and 12
Therefore the sum of the two numbers is 3+12=15
