Answer:
Choice C.
Step-by-step explanation:
A parallelogram is a quadrilateral with two pairs of opposite parallel sides.
There is a theorem that states that opposite sides of a parallelogram are congruent.
In this case, sides AB and CD are opposite sides.
Sides BC and AD are opposite sides.
Side CD is opposite side AB, so they are congruent.
Answer:
Choice C.
CD = AB; Opposite sides of parallelograms are congruent.
This could be an adding fractions problem. We can add the two fractions together and then determine how many miles she walked.
9 1
--- + ----
10 3
First, we need to find a common denominator. It would be 30, since this is the smallest number both 3 and 10 go into.
So, after that, we need to multiply each numerator by the number we needed to multiply our denominator by to get to 30.
So, 10 times 3 equals 30. So, we need to multiply 9 by 3 as well, which is 27.
Our new fraction here would be:
27
----
30
Next, to get 30, we need to multiply 3 by 10 to get 30. So, we also need to multiply 1 by 10, which is 10.
Our new fraction would be:
10
---
30
So lets take a look at our new equation.
27 10
--- + ----
30 30
Lets add them together. Remember the denominators need to stay the same:
37
----
30
Now that we have an improper fraction, we need to simplify it. 37 goes into 30 once, and we have 7 left over.
So, our final answer would be:
1 and 7
---- of a mile.
30
Answer:
x = -1/4, y = 5/4.
Step-by-step explanation:
Because of the absolute value equation y = |x - 1| the value of y must be positive.
Solving x - 1 = 3x + 2 :
2x = -3
x = -3/2 and y = -5/2 so x= -3/2 is not a solution.
x - 1 xcan also be negative so we have the equation
- (x - 1) = 3x + 2
1 - x = 3x + 2
-1 = 4x
x = -1/4
y = 1 - - 1/4 = 5/4.
Answer:
B.The exponent of the solution is –12, the difference of the original exponents.
C.The coefficient of the solution must be greater than or equal to one but less than 10.
D.The quotient is 3.0 ×
Step-by-step explanation:
We are finding the quotient of the expression below in scientific notation
The following conclusions can be drawn
B.The power of 10 in the solution is –12, the difference of the original exponents.
C.The coefficient is 3, which is greater than or equal to one but less than 10.
D.The quotient is 3.0 ×