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:
the 3rd one
Step-by-step explanation:
(7x^2 + 6x + 5 ) - (x - 5)^2
(7x^2 + 6x + 5 ) - (x^2 - 10x + 25)
6x^2 + 16x - 20 is the answer
ANSWERS:
2
−
4
−
2
1
x^{2}-4x-21
x2−4x−21
Grouping
1
Use the sum-product pattern
2
−
4
−
2
1
x^{2}{\color{#c92786}{-4x}}-21
x2−4x−21
2
+
3
−
7
−
2
1
x^{2}+{\color{#c92786}{3x}}{\color{#c92786}{-7x}}-21
x2+3x−7x−21
2
Common factor from the two pairs
3
Rewrite in factored form
Solution
(
−
7
)
(
+
3
)
