Answer:
x = 6
Step-by-step explanation:
Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:
5x - 3 = 3x + 9
2x = 12
x = 6
<u>Answer:</u>
The Time taken by Elena and Jade to meet up is 2.5 hours
<u>Explanation:</u>
Given,
Elena moves with a speed of 6mph while Jada walks at a speed of 4 mph
Also, Distance can be calculated by the formula

To find out the Total speed, i.e., speed of both Elena and Jada as both of them are walking in opposite direction we should add the speed of both the persons, if in same direction we should subtract the values
Here it will be:
= 10mph
Distance apart is given as 25 miles. Substituting the values,

25 = 
Time = 25/10
Time = 2.5 hour
Hence, It will take 2.5 hours to meet up.
The answer is C, hope this helps
Answer:
4x + 1 and 6x - 2x - 2 + 3
Step-by-step explanation:
we can expand and find 2 equations that are the same as this
one being 6x+3 -2x -2
and another being 4x + 1
hope this helps!
Answer:
The prime factorization of 1001 is 7*11*13, so with the constraint that the tables seat between 2 and 19 guests, we can use tables that seat either 7, 11, or 13 guests.
For tables that seat 7, the caterer would need 11*13 = 143 tables.
For tables that seat 11, the caterer would need 7*13 = 91 tables.
Step-by-step explanation: