Answer:
B) consistent, dependent
Step-by-step explanation:
The given system is
45x - 30y = -90
-12x + 8y = 24
Let us make y the subject in both equations to get:
Top equation
Bottom equation
We can see that both equations are identically the same.
There is going to be infinitely many solutions.
We say the system is consistent and dependent.
The correct choice is B
Answer:
5units
Step-by-step explanation:
Given the two vertices of a rectangle at (3,2) and (8,2). We are to calculate the distance between the two points.
Using the formula
D = √(x2-x1)²+(y2-y1)²
D = √(2-2)²+(8-3)²
D = √0+5²
D = √25
D = 5
Hence the length of the side of the rectangle is 5units
Answer:
The answer is A. ( x-3/x-6 x X^3 + 5/x+1 ) is rational because it is a product of rational expressions since rational expressions are closed under multiplication.
Step-by-step explanation:
Answer:
the answer is C. class number and painting prefence
Step-by-step explanation:
hope this helps :) edge 2021
Answer:
1. ΔXYZ is a right Δ with altitude YU.
Given
2. ΔXYZ ~ ΔYUZ
Right Triangle Altitude Similarity Theorem
3. VW || XY
Given
4. ∠VWZ ≅ ∠XYZ
Corresponding angles
5. ∠Z ≅ ∠Z
Reflexive property of congruence
6. ΔXYZ ~ ΔVWZ
AA Similarity postulate
7. ΔYUZ ~ ΔVWZ
Transitive property of similar triangles
Step-by-step explanation:
The first statement is given in the problem. Since we know the altitude of a right triangle, we can use the Right Triangle Altitude Similarity Theorem to say that the triangles formed by the altitude are similar to each other and the original triangle.
Next, we are given in the problem statement that the lines VW and XY are parallel. Therefore, ∠VWZ and ∠XYZ are corresponding angles, which makes them congruent. And since ∠Z is equal to itself (by reflexive property), we can use AA similarity to say ΔXYZ and ΔVWZ are similar.
Finally, combining statements 2 and 6, we can use transitive property to say that ΔYUZ and ΔVWZ are similar.
