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slavikrds [6]
1 year ago
15

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF a

nd OPQ congruent through SAS? Explain your answer.
Mathematics
1 answer:
kenny6666 [7]1 year ago
8 0

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS

<h3>What are congruent triangles?</h3>

Two triangles are said to be congruent if they have the same shape, all their corresponding angles as well as sides must also be congruent to each other.

Two triangles are congruent using the side - angle - side congruency if two sides and an included angle of one triangle is congruent to that of another triangle.

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS

Find out more on congruent triangle at: brainly.com/question/1675117

#SPJ1

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5 0
2 years ago
What’s the answer for this ?
baherus [9]

Answer:

<h2>AA</h2>

Option B is the right option.

Here,

According to Question,

∆PNO ~ ∆ XYZ

i.e <PNO=<YXZ =37°

<PON= < YZX = 90°

hence, both triangles are similar by AA rule.

Hope this helps...

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4 0
2 years ago
Laura's school is holding an outdoor activities celebration event for its 20th anniversary. Laura decides to participate in the
Pachacha [2.7K]

Probabilities are used to determine the chances of Laura winning an activity

  • The value of p is 1/12
  • The expected score of the game is -1/6
  • The probability that she has a total score of 5 after two rounds is 0

<h3>How to calculate the value of p</h3>

To calculate the value of p, we make use of the following probability formula

\sum P(x) = 1

So, we have:

\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + p + \frac 1{12} = 1

Collect like terms

\frac 3{12} + \frac 1{12} + \frac 4{12} + \frac 2{12} + \frac 1{12}  + p= 1

Evaluate the sums, on the left-hand side

\frac{11}{12} + p = 1

Subtract 11/12 from both sides

p = \frac 1{12}

Hence, the value of p is 1/12

<h3>(b) How to calculate the expected score</h3>

This is calculated using the following expected value formula

E(x) = \sum x * P(x)

So, we have:

E(x) = -3 * \frac{3}{12} -1 * \frac 1{12} + 0 * \frac 4{12} + 1 * \frac 2{12} + 2 * \frac 1{12} + 4 * \frac 1{12}

Evaluate the products

E(x) =  -\frac{9}{12} - \frac 1{12}  + \frac 2{12} + \frac 2{12} + \frac 4{12}

E(x) =  -\frac 2{12}

Simplify

E(x) =  -\frac 1{6}

Hence, the expected score of the game is -1/6

<h3>(c) The probability that she has a total score of 5 after two rounds</h3>

From the table, we have:

P(5) = 0

For after two rounds, we make use of the following equation

P(5) * P(5) = 0 * 0

P(5) * P(5) = 0

Hence, the probability that she has a total score of 5 after two rounds is 0

Read more about probabilities at:

brainly.com/question/25870256

4 0
2 years ago
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