Answer:
Options (C)
Step-by-step explanation:
For the congruence of the triangles ΔADB and ΔADC,
Statements Reasons
1). AB ≅ AC 1). Given
2). AD ≅ AD 2). Reflexive property
3). ∠BAD ≅ ∠CAD 3). Given
4). ΔABD ≅ ΔCAD 4). SAS postulate
Therefore, Options (C) will be the correct option.
Answer:
1. -6
Step-by-step explanation:
f(x)=x²-9
g(x)= x-3
1. (f+g)(2) =
(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6
Answer:
a. 
b. 
Step-by-step explanation:
The formula for calculate the area of a rectangle is:

Where "l" is the lenght and "w" is the width
a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:

Therefore, substituting these values into the formula, we get that the area of the kitchen is:

b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:

Therefore, the total of the living room and the kitchen is:

Answer:
4xy and 12x
Step-by-step explanation:
In this question, we are to select which of the options to put into the blank space that will make the greatest common factor of the polynomial 2x. We are to select two options
Now, looking at the blank space, we should understand that , any answer we shall be choosing shall be an answer that contains x alongside the number.
This makes 24 and 44y out of the way.
Now let’s look at 4xy and 12x. Let’s insert them into the blank space;
36x^3-22x^2 - 4xy which gives : 2x(18x^2-11x-2y)
and 36x^3-22x^2-12x = 2x(18x^2-11x-6)
The reason why we will not use 44y and 24 is because 2x is not a factor of either.
Answer:
Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.
Step-by-step explanation:
From the graph shown below, we can see that the intersection point is (2,3). When using the graphing method to solve a system of equations, the intersection point is the answer. In this case, x = 2 and y = 3.
Thus, Kaylee drove her scooter for 2h and Sophia drove her scooter for 3h.