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ad-work [718]
3 years ago
15

Please help

Mathematics
2 answers:
Vladimir [108]3 years ago
8 0
The given info gives you two pairs of congruent angles.
Side RS is the included side. It is a side of both triangles, and it is congruent to itself. Since you now have side RS congruent to side RS, you can use ASA.
valentina_108 [34]3 years ago
6 0

Answer:

ASA  is a possible  congruent theorem that could be used to prove the triangles congruent.

Step-by-step explanation:

Given

\angle TRS=\angle URS

\angle TSR=\angle USR

Proof: In triangle STR and SUR

1.Statement: \angle TSR=\angle USR

Reason: Given

2.Statement: \angle TRS= \angle URS

Reason: Given

3.Statement: RS=RS

Reason: Reflexive property of equality.

4.Statement: \triangle STR \cong \triangle SUR

Reason: ASA ( Angle-Side-Angle) property of congruence.

Hence, the triangle are congruent by the ASA congruence theorem .

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larisa86 [58]

the dolphin is 8 ft from its starting point (option A)

Explanation:

The path model:

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Considering the water's surface as the starting point, the value of y = 0

And x = distance from its starting point

We substitute for y in the model:

\begin{gathered} x^2\text{ - 8x + 4(0) = 0} \\ x^2\text{ - 8x = 0} \end{gathered}

Then we find the values of x:

\begin{gathered} x^2\text{ - 8x = 0} \\ x(x\text{ - 8) = 0} \\ x\text{ = 0 or x- 8 = 0} \\  \\ x\text{ - 8 = 0} \\ x\text{ = 8} \end{gathered}

From our result, the dolphin is 8 ft from its starting point (option A)

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