Answer:
x = 38, y = 4
Step-by-step explanation:
Since AB = BC then the triangle is isosceles and the base angles are congruent, that is
∠ DAB = ∠ DCB = 52°
Subtract the sum of the base angle from 180° for ∠ ABC
∠ ABC = 180° - (52 + 52)° = 180° - 104° = 76°
Note that ∠ ABD = ∠ CBD, thus
x = 76 ÷ 2 = 38
BD bisects the side AC, thus DC = AD = 4
Thus y = 4
46 and 19. 46 x 19 = 874 and 46 - 19 = 27
<span>A word problem that can be modeled by addition of two negative numbers integers is given as followed.
Evans and Irvin are standing at the same spot. Evans took 7 steps backwards and another 7 steps backward, what is the current position of Evans relative to where Irvin is standing?
To solve the above, we note that Evans </span><span>took 7 steps backwards and another 7 steps backward, thus his current position relative to Irvin is given by (-7) + (-7) = -7 - 7 = -14.
Therefore, Evans is 14 steps backwards relative to where Irvin is standing.
</span>
Answer:
$17.85
Step-by-step explanation:
Let the dollar amount per shirt be represented by s.
Let the dollar amount per pants be represented by p.
You have the following system:
3s+2p=104.81
2s+1p=61.33
If I multiply the bottom equation by -2, I can set the system up for elimination since the equations are already and the same form and I will have 2p and -2p in the same column there. 2p+(-2p)=0
Multiplying equation 2 by -2:
3s+2p=104.81
-4s-2p=-122.66
-----------------------Add the equations:
-1s =-17.85
Multiply both sides by -1:
s=17.85
So one shirt cost $17.85
You will have a better chance of winning because your chance before you opened the first door was 1/3 (since there was 3 doors) but now, you have 2 doors left, so it is a 50% chance that you will win.
