Answer:
The answer is C. 6
Step-by-step explanation:
The answer is C. because 30 divided by 5 equals 6.
According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
The answer is A. The Associative Property, followed by the Associative Property.
It's because they want you to group stuff, not simplify them.
The given data is
t, h: 0 2 4 6 8 10
r(t), L/h: 8.6 7.9 6.8 6.4 5.7 5.3
The lower and upper estimates for the total amount that leaked may be computed as the Left and Right Riemann sums.
The shape of the graph of r versus will determine which of the two sums yields an upper or lower sum.
The plot of the graph is shown below.
The Left Riemann sum is
Sl = 2*(8.6+7.9+6.8+6.4+5.7) = 70.8 L
The Right Riemann sum is
Sr = 2*(7.9+6.8+6.4+5.7+5.3) = 64.2 L
Answer:
The lower estimate for oil leakage is 64.2 L
The upper estimate for oil leakage is 70.8 L
Answer: b) Large blue t-shirt & Medium RC jeans
<u>Step-by-step explanation:</u>
The subscript numbers attached to the matrix letter represents the:
ROW, COLUMN
![A=\left[\begin{array}{ccc}a_{1,1}&a_{1, 2}&a_{1, 3}\\a_{2,1}&a_{2, 2}&a_{2, 3}\\a_{3,1}&a_{3, 2}&a_{3, 3}\end{array}\right] \qquad B=\left[\begin{array}{ccc}a_{1,1}&b_{1, 2}&b_{1, 3}\\b_{2,1}&b_{2, 2}&b_{2, 3}\\b_{3,1}&b_{3, 2}&b_{3, 3}\end{array}\right]\\](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da_%7B1%2C1%7D%26a_%7B1%2C%202%7D%26a_%7B1%2C%203%7D%5C%5Ca_%7B2%2C1%7D%26a_%7B2%2C%202%7D%26a_%7B2%2C%203%7D%5C%5Ca_%7B3%2C1%7D%26a_%7B3%2C%202%7D%26a_%7B3%2C%203%7D%5Cend%7Barray%7D%5Cright%5D%20%5Cqquad%20B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da_%7B1%2C1%7D%26b_%7B1%2C%202%7D%26b_%7B1%2C%203%7D%5C%5Cb_%7B2%2C1%7D%26b_%7B2%2C%202%7D%26b_%7B2%2C%203%7D%5C%5Cb_%7B3%2C1%7D%26b_%7B3%2C%202%7D%26b_%7B3%2C%203%7D%5Cend%7Barray%7D%5Cright%5D%5C%5C)
A₁,₃ = 1st row, 3rd column
1st row is Blue, 3rd column is Large
B₃,₂ = 3rd row, 2nd column
3rd row is RC jeans, 2nd column is Medium
A₁,₃ + B₃,₂ = Large blue t-shirt & Medium RC jeans