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!
Answer:
135.71 sea otters
Step-by-step explanation:
y = 70(1.18)^4
y = 70 x 1.9387
y = 135.71
Answer:
1153.5 miles (first answer choice)
Step-by-step explanation:
'1000 miles east' is the change in x ('the run'), and '575 miles south' is the change in x (the 'rise'). Since these two vectors form a right angle, we can immediately apply the Pythagorean Theorem without worrying about signs:
d = √(1000² + 575²) = 1153.5 miles (first answer choice)
Answer:
3. 2.5
4. $5 per candy bar
5. You mowed 6 lawns
6. 15.66 is the number
7. 13 weeks
8. 135 students came
9. 12
Step-by-step explanation:
3. 25+7= 32.
81/32= 2.5
4. 23-3= 20
20/4= 5
5. 155-35=120
120/20=6
6. 10-4 = 6
94/6=15.66
(not 100% sure about this one)
7. 200-161=39
39/3=13
8. 975-300=675
675/5=135
9. 36-12=24
36/3= 12
(not 100% sure about this one)
Bonus: Sorry I don't know
I hope I can help! Also next time do each question one by one so other people can answer and not answer all of them if they don't know one.
Does it ask you to round to the nearest whole number? If so, the answer is 53. If it doesn't, then it should be 53.4