Answer:
1st - 10(n-4)
2nd - 3n^3 x (2n ^3 - 4n^2 -5)
3rd - (<u>k</u><u>^</u><u>2-3</u>) x (k^2 +3)
4th 3(<u>x-2</u>)x(x<u>+</u><u>2</u><u>)</u>
Answer:
Always true.
Step-by-step explanation:
All rectangles are made up of four right angles, which are always congruent.
Answer:
The Option is D) ΔDEC ≅ ΔDEA
ΔDEC ≅ ΔDEA ….{By Side-Angle-Side Congruence Statement}
Step-by-step explanation:
Given:
AE ≅ EC
∠AED ≅ ∠CED = 90°
To Prove:
ΔDEC ≅ ΔDEA
Proof:
In ΔDEC and ΔDEA
AE ≅ EC ……….{Given}
∠AED ≅ ∠CED …………..{measure of each angle is 90°}
ED ≅ ED ……….{Reflexive Property}
ΔDEC ≅ ΔDEA ….{By Side-Angle-Side Congruence Statement}
Answer:
x = 5 or x = 1
Step-by-step explanation:
Absolute Value Equation entered :
3|3x-9|=18
Step by step solution :
Step 1: Rearrange this Absolute Value Equation
Absolute value equalitiy entered
3|3x-9| = 18
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|3x-9|
For the Negative case we'll use -3(3x-9)
For the Positive case we'll use 3(3x-9)
Step 3: Solve the Negative Case
-3(3x-9) = 18
Multiply
-9x+27 = 18
Rearrange and Add up
-9x = -9
Divide both sides by 9
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(3x-9) = 18
Multiply
9x-27 = 18
Rearrange and Add up
9x = 45
Divide both sides by 9
x = 5
Which is the solution for the Positive Case
Step 5: Wrap up the solution
x=1
x=5
Solutions on the Number Line
Two solutions were found :
x=5
x=1
Yes...the person's hypothesis could be correct.