Answer:
3. ASA
4. Corresponding sides of congruent triangles are congruent
Step-by-step explanation:
I marked this in the attached image. ∠B ≅∠E, ∠ACE ≅ ∠DCE, and the side between them BC ≅ EC, so the the triangles ΔACB and ΔDCE are congruent by ASA.
If the triangles are congruent, then all corresponding angles and sides are also congruent.
Answer:
16
Step-by-step explanation:
The ratio fo the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
In a 30-60-90 triangle, the length of the short leg is the length of the long leg divided by sqrt(3).
The length of the short leg is 8 cm.
The length of the hypotenuse is twice the length of the short leg.
g = 2 * 8 cm = 16 cm
Answer:
b)
The point is (-1,5) and (0,0) also satisfies the given inequalities
The solution of the given inequalities
(x, y) = (4 , -2 )
Step-by-step explanation:
<em>Step(i):</em>-
Given system of equations are
3x + 2y < 8
-5x - 9y > -2
The solution of the given equations are
3x + 2y = 8 multiply '5'
-5x - 9y = -2 multiply '3'
15 x + 10 y = 40 ...(i)
-15x - 27 y = -6.....(ii)
Adding (i) and (ii) , we get
- 17 y = 34
y = -2
Substitute y = -2 in equation 3x + 2y =8
3x - 4 =8
3x = 12
x =4
The solution of the given system of inequalities
(x, y) = (4 , -2 )
<u><em>Step(ii)</em></u>:-
3x + 2y < 8
-5x - 9y > -2
The point is (-1,5)
-3 + 10 < 8
7 < 8
5 - 45 > -2
-40 > -2
The point (0,0) also satisfies the given inequalities
Final answer :-
The point is (-1,5) and (0,0) also satisfies the given inequalities
Answer:
It should be A
Step-by-step explanation:
I hope this helps
Answer:
The system don't have a unique solution
Step-by-step explanation:
We define the problem in different variables:
Dried Fruit is going to be x
Almonds are going to be y
So, in this new terms we have that a small bag (S) and a large bag ( L) are going to be represented by:
- 3x+4y=S
- 4
x+6y=L
If we multiply both sides of the first equation by 1.5 we got this:
- 4x+6y=1.5S
- 4x+6y=L
Therefore we can notice that the system of equations has an unlimited number of soltions because is a consistent and dependent system.
