Answer:
7x+29
Step-by-step explanation:
First take away ( ), so it would be 5x+15+2x+14. Then, just add the alike terms together. 7x+29
<em>The</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>2</em><em>8</em><em>0</em>
<em>pl</em><em>ease</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>for</em><em> </em><em>full</em><em> solution</em>
<em>Hope</em><em> </em><em>it</em><em> helps</em>
<em>G</em><em>ood</em><em> luck</em><em> on</em><em> your</em><em> assignment</em>
Answer:
a) rCn = 1176
b) 2352
Step-by-step explanation:
a)Each committee should be formed with 3 members ( no two members could be of the same state) then
Let´s fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then
rCn = n! / (n - r )! *r!
rCn = 49!/ (49 - 2)!*2!
rCn = 49*48*47! / 47!*2!
rCn = 49*48 /2
rCn = 1176
So we can choose in 1176 different ways a senator for a given state
b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.
1176*2 = 2352
Answer:
x = 3.5
Step-by-step explanation:
By definition, congruent chords are equidistant from the center of a circle. We are given two congruent chords and their distances(the lines perpendicular), meaning those distances must be equal. We set set up an equation to model the situation:
x + 8 = 3x + 1
8 = 2x + 1
2x = 7
x = 3.5
What diagram can you add a picture of it ?