Answer:
B: A square
Step-by-step explanation:
Let's use the process of elimination:
We know that each shape here has opposite parallel sides so there's not much we can do about that one.
All sides congruent automatically gets rid of A.) Rectangle and C.) Parallelogram because they do not <em>always</em> have congruent sides
Opposite angles are congruent gets rid of D.) Rhombus. Although a rhombus can have all congruent angles, it isn't <em>always</em> congruent the way a square is. The definition of a rhombus is a quadrilateral with <em>equal side lengths</em>. Not angles.
So the only shape that meets each criteria all the time is a square.
Answer:
(B)The GCF of the numbers(28 and 36) in each term in the expression is 4.
(C)The GCF of the variables(a and ab) in each term in the expression is a.
(E)The factored form of the expression is 4a(7+9b)
Step-by-step explanation:
Given the expression:
If we write it as a product, we obtain:
We can see the following
- The GCF of the numbers(28 and 36) in each term in the expression is 4.
- The GCF of the variables(a and ab) in each term in the expression is a.
- The factored form of the expression is 4a(7+9b)
The correct options are B, C, and E.
Answer:
Let F = customer's fare (in dollars)
Let d = distance traveled (in miles)
Given:
- Base fee = $5
- Charge per mile = $2 per mile
Creating an equation from given information:
F = 2d + 5
This is a linear equation, with slope of 2 and y-intercept of (0, 5)
**see attached graph**
Answer:
x=(3/2) OR 1.5
Step-by-step explanation:
2x+3=6
2x=6-3
2x=3
x=(3/2) OR 1.5
Answer:
x = 20
Step-by-step explanation:
Perimeter = Sum of all sides
Perimeter = (x+4)+(4x)+10x-(10)
Where Perimeter = 294 in.
294 = 15x-6
15x = 294+6
15x = 300
Dividing both sides by 15
=> x = 20