Hey there!
In order for two figures to be congruent, each named angle must correspond and be congruent to ONE other angle. If you have ZYV and XWV, Z must be congruent to X as they both show up first in the ordering.
This means...
∠Z≅∠X
∠Y≅∠W
∠V≅∠V
Our first answer option has to do with parallelism, which does not influence if certain angles are congruent or not.
For the second answer option, ∠Z is congruent to ∠X, not ∠Y, so it is incorrect.
For the third answer option, it shows that ∠Z would correspond to ∠V, but it does not, so it is also incorrect.
For D, ∠Z IS congruent to ∠X, and ∠W IS congruent to ∠Y
Therefore, our answer is D) ∠Z≅∠X and ∠W ≅ ∠Y.
I hope this helps!
3)
82 + p >= 150
p>= 150 - 82
p>= 68
answer A.
4)
x/-10 > 6
x > -60
answer
x > -60
5)
5z >= - 75
z >= -75/5
z >= -15
answer
z >= -15
<span>57 boxes of detergent on the shelves in 2 minutes
</span><span>After 5 minutes, he had put 117 boxes on the shelves
117 - 57 = 60 (60 </span>boxes of detergent for 3 minutes)
60/3 = 20 (20 boxes of detergent per minute)
so
20 x 5 = 100 boxes of detergent
117 - 100 = 17 boxes
answer
17 boxes of detergent <span>were on the shelves when he started</span>
Answer:
its C
Step-by-step explanation:
its a positive number bc there is no - in the equation and x is the unknown number