Answer:
5x + 6y = 20_____(1)
8x - 6y = -46_____(2)
Solving simultaneously:
Eqn(1) + Eqn(2)
5x + 8x + 6y + (-6y) = 20 + (-46)
13x = -26
x = -2
substituting this into Eqn (1):
5(-2) + 6y = 20
-10 + 6y = 20
6y = 30
y = 5
hence:
x = -2,y = 5.
3/4x + 3 - 2x = -1/4 + 1/2x + 5
Put in terms of 4 as denominator
3/4x + 12/4 - 8/4x = -1/4 + 2/4x + 20/4
Combine like terms
-5/4x + 12/4 = 2/4x + 19/4
Simplify
12/4 = 7/4x + 19/4
-7/4 = 7/4x
x = -1 :)
Check:
3/4(-1) + 3 - 2(-1) = -1/4 + 1/2(-1) + 5
-3/4 + 3 + 2 = -1/4 - 1/2 + 5
-3/4 + 5 = -3/4 + 5
-3/4 = -3/4 :)
Answer:
ASA
Step-by-step explanation:
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle, then the triangles are congruent.
The included side is the side between the vertices of the 2 triangles.
Here
∠ S = ∠ W ( 1 angle )
∠ R = ∠ X ( 2 angles )
RS = XW ( side between the 2 angles )
Thus the 2 triangles are congruent by the ASA postulate
Answer:
Yes they are congruent
they are congruent by SSS rule that is Side Side Side rule
AD = CD (given side) in the question itself
AB = CB (given side) in the question itself
Db = BD (common side)
thats why by SSS rule they are congruent
Let j = Jake's age.
Because Mallory is 2 years older than three times Jake, Mallory's age is
3j + 2.
Answer: Mallory's age is 3j + 2