Answer:
7
Step-by-step explanation:
Note the factors of each number. Prime numbers are numbers that can only be factored to itself and 1. Note:
Factors of 1:
1
Factors of 3:
1 , 3
Factors of 7:
1 , 7
Factors of 9:
1 , 3 , 9
Factors of 21:
1 , 3 , 7 , 21
Factors of 63:
1 , 3 , 7 , 9 , 21 , 63
Well all you have to do is subtract 19,496 from 39,835. 39,835-19,496=20340 now you have to round to the nearest hundred. Your answer would be 20,300 miles
22. Step by step: 2x^2+5x-3=0
factor the left side
(2x-1)(x+3)=0
set the factors to equal zero
2x-1=0 and x+3=0
x=1/2 x=-3
23. Use same technique.
3x^2-13x-10=0
factor the left side once more
(3x+2)(x-5)=0
set factors to zero
3x+2=0 and x-5=0
x=-2/3 x=5
Answer and Step-by-step explanation:
The mistake is that the sign (<) isn't flipped.
When a negative number is multiplied, the sign of the inequality flips to go the other way, so < would go >.
3. <u>Two angles and included side (ASA congruence theorem)</u>.
<u>Reason:</u> This is because, it is given that angle Q is congruent to angle T and line QR is congruent to line TR. Also, we proved in step 2 that 
. Thus, we have two angles and the side included as congruent and thus, the two triangles are congruent.
4. <u>CSCT (Corresponding Sides of a Congruent Triangle)</u>
<u>Reason:</u> PR and SR are the corresponding sides of the congruent triangles 
and 
, therefore, by the CSCT these corresponding sides have to be congruent.
