Y varies directly as x means this equation : y=kx
given y=36 and x=9, plug it into the equation to find k
36 = 9k, so k=?
k=4
so now you have your equation y=4x
and you're trying to find y given x=5
so
y= 4(5) so y=?
Triangle RTS is congruent to RQS by AAS postulate of congruent
Step-by-step explanation:
Let us revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles
and one side in the 2nd Δ
- HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ
∵ SR bisects angle TSQ ⇒ given
∴ ∠TSR ≅ ∠QSR
∴ m∠TSR ≅ m∠QSR
∵ ∠T ≅ ∠Q ⇒ given
∴ m∠T ≅ m∠Q
In two triangles RTS and RQS
∵ m∠T ≅ m∠Q
∵ m∠TSR ≅ m∠QSR
∵ RS is a common side in the two triangle
- By using the 4th case above
∴ Δ RTS ≅ ΔRQS ⇒ AAS postulate
Triangle RTS is congruent to RQS by AAS postulate of congruent
Learn more:
You can learn more about the congruent in brainly.com/question/3202836
#LearnwithBrainly
So for this one all you have to do is use the formular
Z*k=x
30k=8
K=4/15
Then when x=4
4/15x=4
So x=15
1 rational solution
4x² + 12x + 9 = 0
(2x+3)²=0
2x + 3 =0
2x +3 -3 = 0-3
2x = -3
2x/x = -3/2
x = -3/2
Use Conects it got all the math questions n got the answer to questions ahead of the one u looking for