Answer:
56 degrees
Step-by-step explanation:
We know that the angle TWR must be 90 degrees because TWK is 90 degrees and the two angles msut add up to 180. Since we know that TWR=90 degrees and since LWR=34 degrees we do 90-34 so angle 2=56 degrees.
Answer:

Step-by-step explanation:
We can think of the 10 pairs of gloves as simply being gloves of different colors. Picking no matching pair is the same as picking no 2 gloves of the same color. To compute the probability of doing so, we can compute the number of ways to select 8 gloves from different colors, and divide that by the total number of ways to select 8 random gloves out of the 20 gloves.
To compute the number of ways in which we can select 8 gloves from different colors, we can think of the choosing procedure as follows:
1st step- We choose from which 8 colors are we going to pick gloves from. So we have to pick 8 out of 10 colors. This can be done in
ways.
2nd step - We now have to choose which glove are we going to pick from each of the chosen colors. Either the left one or the right one. For the first chosen color we have 2 choices, for the second chosen color we have 2 choices, for the third chosen color we have 2 choices, and so on. Therefore the number of ways in which we could choose gloves from the chosen colors is 
And so the total number of ways in which we could choose 8 gloves from different colors is

Now, the total numer of ways in which we could choose 8 gloves out of the 20 gloves is simply 
So the probability of picking no mathing pair is

Answer:
Interest would be 1200
Step-by-step explanation:
Answer:

Step-by-step explanation:
since on a horizontal line which means y axis and the sllope line is on 2
Answer:
Step-by-step explanation:
Let z and b represent the number of packs that Zack and Brian bought, respectively. Then the problem statement tells us ...
b = 2z -3 . . . . . . . Brian bought 3 fewer than twice what Zack bought
b + z = 30 . . . . . . they bought a total of 30 packs
Using the first equation to substitute into the second, we have ...
(2z -3) +z = 30
3z -3 = 30
3z = 33 . . . . . . add 3
z = 11
b = 2·11 -3 = 22 -3 = 19
_____
<em>Check</em>
b + z = 19 + 11 = 30 . . . . answer checks OK
Zack bought 11 packs; Brian bought 19 packs of gum.