Answer:
AB would be 18 or the first choice.
Since BD is the median that means from A to D and from D to C are equal. We set this up as an equation and solve it.
<em>x + 8 = 2x - 17</em>
<em> </em><em><u>+ 17 +17</u></em>
<em>x + 25 = 2x</em>
<em><u>-x -x</u></em>
<em> 25 = x</em>
This gives us our first bit of the answer. Then we plug this into our equation for the length of AB to get 18.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Answer:
angles 1, 3, 6, 8 = 142°
angles 2, 4, 5, 7 = 38°
Step-by-step explanation:
Vertical angles and corresponding angles are congruent, as are alternate interior angles. Hence the angles 1, 3, 6, 8 are all congruent:
∠1 = ∠3 = ∠6 = ∠8 = 142°
Each of the remaining angles forms a linear pair with one or another of those, so is its supplement:
∠2 = ∠4 = ∠5 = ∠7 = 180° -142° = 38°
F(x) = g(x)
3(2) - 4 = (2)² - 2
6 - 4 = 4 - 2
2 = 2
I just substituted all the values in the domain to see which one would work. That's not really the quickest way but that's the only way I know
Answer:
mean= 73.167
mode= 85
range= 47
median= 78.5
Step-by-step explanation:
46 58 72 85 85 93
mean= 73.167
mode= 85
range= 47
median= 78.5
Answer:
Option E is correct.
12 pairs of socks and 15 pairs of shorts did team buy each year.
Step-by-step explanation:
Let the number of pairs of socks be x and the number pairs of shorts be y.
As per the statement:
Last year, the volleyball team paid $5 pair for socks and $17 per pair for shorts on a total purchase of $315.
⇒
.....[1]
It is also given that: This year they spent $342 to buy the same number of socks and shorts, because the socks now cost $6 a pair and the shorts cost $18.
⇒
.....[2]
Multiply equation [1] by 6 both sides we get;
.......[3]
Multiply equation [2] by 5 both sides we get;
.....[4]
Subtract equation [4] from [3] we get;
Divide both sides by 168 we get;
y = 15
Substitute the given values of y =15 in [1] we get;
5x+17(15) = 315
5x + 255 = 315
Subtract 255 from both sides we get;
5x = 60
Divide both sides by 5 we get;
x = 12
Therefore, 12 pairs of socks and 15 pairs of shorts did team buy each year.
