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katrin [286]
3 years ago
13

Which must be true in order for the relationship △ZYV ~ △XWV to be correct?

Mathematics
2 answers:
alexandr1967 [171]3 years ago
8 0
The answer would be D, <span>d. ∠Z ≅ ∠X and ∠W ≅ ∠Y</span>
tigry1 [53]3 years ago
3 0

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!

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Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
xz_007 [3.2K]

Answer:

Surface area = 505cm²

Step-by-step explanation:

Surface area of the triangular prism. = 2B + ph

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p is the perimeter of the triangle

h is the height of the triangle

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3 0
3 years ago
Factorise fully to the following 6x+4
Fantom [35]

Answer:

so

6x+4=

6x=-4

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4 0
2 years ago
Read 2 more answers
Please help, DUE TODAY. If correct I will mark Brainliest.
guajiro [1.7K]

Answer:

222

Step-by-step explanation:

Closely pay attention to the transversal line running from up-left to down-right.

y) you will notice that the angle to the right of z is corresponding with 50 then 50 will be vertically opposite 6y + 2 hence making them equal.

6y - 2 = 50

6y = 50 - 2

6y = 48

y = 6

z) vertically opposite angles are equal hence the 50 will be equal to the empty space in the triangle.

z + 60 + 50 = 180

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2(6) + 3(70)

12 + 210

= 222

8 0
3 years ago
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