32,000 and 42,000. I know this because the question states "Two Thousands." 32,000 and 42,000 are both two thousands because 32 and 42 both end with 2's because of the "Two" in "Two Thousand."
For the first one, you did good. I will just suggest a couple things.
Statement Reason
JK ≅ LM Given
<JKM ≅ < LMK Given (You did both of these steps so well done.)
MK ≅ MK Reflexive Property (Your angle pair is congruent but isn't one of the interior angle of the triangles you are trying to prove.)
ΔJMK ≅ ΔLKM SAS
Problem 2: (You also have a lot of great stuff here.)
Statement Reason
DE ║ FG Given
DE ≅ FG Given
<DEF≅<FGH Given
<EDF≅<GFH Corresponding Angles (You don't need to know that F is the midpoint but you got corresponding angle pair which is correct.)
ΔEDF≅ΔGFH ASA
<DFE≅<FHG CPCTC
Answer:
k=-2x+9
Step-by-step explanation:
-4x+6=k*2x-3
+3 +3
-4x+9=k*2x
/2x /2x
-2x+9=k
A. It says “If Nancy is having a birthday then joe will buy her a card” it could Also be C. But it says “if joe buys Nancy a card he will GIVE IT TO HER” not just buying it so the most likely answer is A
Given that the last term is -3x^4, the polynomila is ordered in descending order of the exponent of x. Then, the first term is that where y is with the highest exponent, that is y^4
Simplify the terms with y^4: -2y^4 + 6y^4 = 4y^4
Then the first term is 4y^4