Answer:
Line QR = line BC
Step-by-step explanation:
To prove congruency using the SAS theorem, (SAS = Side Angle Side)
You obviously need 2 sides and 1 angle.
BUT
The ONE angle has to be right between the TWO sides, hence the name: side ANGLE side.
So coming to your problem:
We know angle Q = angle B. And QS=BD
We need one more SIDE. Pick side QR in triangle RQS. Is angle Q in the middle of QR and QS?
Yes it is!
Now find the corresponding side in the other triangle to QR. This is the shortest side, BC.
Check:
Is angle B in the middle of CB and BD?
Yes!!
So you can prove the congruency of these two triangle using the SAS theorem if you know that BC = QR. That’s your answer.
Hope this helped!!!!!
PS let me know if it’s correct!
Answer:
The absolute value of -9 is less than 9 I'm pretty sure
Answer:
(- 2, 0 ) and (- 4, - 2 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² + 7x + 10 → (2)
Since both equations express y in terms of x we can equate them, that is
x² + 7x + 10 = x + 2 ( subtract x + 2 from both sides )
x² + 6x + 8 = 0 ← in standard form
(x + 2)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 4 = 0 ⇒ x = - 4
Substitute these values into (1) for corresponding values of y
x = - 2 : y = - 2 + 2 = 0 ⇒ (- 2, 0 )
x = - 4 : y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )
Solutions are (- 2, 0 ) and (- 4, - 2 )
<span>6(x + 2) - x = 4(x + 4) + 7
Use distributive property
6x+12-x=4x+16+7
Subtract x from 6x
5x+12=4x+16+7
Add 7 to 16
5x+12=4x+23
Subtract 4x from both sides
x+12=23
Subtract 12 from both sides
Final Answer: x=11</span>
