Answer: LP=15
Step-by-step explanation:
Ok triangle ΔNPL is congruent to ΔNML because they share side LN so side LN = LN
Angle LNP and LNM are right angles so they are congruent.
Sides PN and MN are marked congruent.
With that information we can use SAS to say those triangles are congruent.
This means that side LP=LM
so 10x-5=7x+1
Now we solve
Now we can sub in x to solve LP
10(2)-5
20-5
15
Answer:
the teams total yardage is 9 yards
Step-by-step explanation:
Answer:
Each CD was $15.30.
Step-by-step explanation:
97.20-5.40= 91.80 => 91.80/6= 15.30
Answer:
Step-by-step explanation:
| Given
| Distribute the 2 inside the parentheses
| Add 10 to both sides
| Add. <em>Optional; not included in your question.</em>
<em /><em> </em>| Divide by 2 on both sides.
<em />
Answer:
Divisible by 3 is the answer
Step-by-step explanation:
First get everything to have the same base of 5
25^11 - 5^19
(5^2)^11 - 5^19
5^(2*11) - 5^19
5^22 - 5^19
Now factor out the GCF 5^19 to get
5^22 - 5^19
5^(19+3) - 5^(19+0)
5^19*5^3 - 5^19*5^0
5^19(5^3 - 5^0)
5^19(125 - 1)
5^19*(124)
At this point, we factor the 124 into 31*4 to end up with this full factorization: 5^19*31*4
Therefore, 25^11 - 5^19 is equivalent to 5^19*31*4
Since 31 is a factor of the original expression, this means the original expression is divisible by 31.
