Answer:
<h3>Q 1</h3>
<u>Sum of interior angles of a pentagon:</u>
- 4x + 60 = 180(5 - 2)
- 4x + 60 = 540
- 4x = 480
- x = 120
<h3>Q 6</h3>
<u>Midsegment is half of the sum of the bases:</u>
- (2n - 2 + 4n + 6)/2 = n + 12
- (6n + 4)/2 = n + 12
- 3n + 2 = n + 12
- 2n = 10
- n = 5
<u>Midsegment is:</u>
Correct choice is D
<h3>Q 3</h3>
- m∠1 = 90 as diagonals are perpendicular
- m∠2 = 41 as alternate interior angles
<u>∠3 is complementary with ∠2:</u>
None of the choices is correct
Answer:
Step-by-step explanation:
Since, The total number of student = 300
Out of which,
The number of students who are only in Maths = 120
And, The number of students who are only in Science = 50
While, the students who are not from any subject = 100
Hence, the number of student who are from both maths and science = Total student - Maths student (only) - science student (only) - None
= 300 - 120 - 50 - 100
= 30
That is, there are 30 students who are both from science and maths,
Thus, the probability of selecting one student who is both from maths and science = 30/300 = 1/10
Answer:
Step-by-step explanation:
First move the numbers from the Left hand side to the right hand side. To do so, as it is an equation i.e. both sides must remain the same, you add or subtract the same numbers on both side.
5 + 13k - 61 = 17
5 - 5 + 13k - 61 + 61 = 17 - 5 + 61
13k = 73
k = 73 / 13
k = 5.62 (approximately)
Answer:
Benito llega en segundo lugar.
Eladio llega en sexto lugar
Hermes llega en noveno lugar.
Step-by-step explanation:
Tenemos 3 amigos:
Benito
Hermes
Eladio
Hay 3 posiciones:
segundo
sexto
noveno.
Sabemos que:
Benito llegó antes que Hermes.
Cuando Eladio estaba llegando a la meta, solo Benito estaba descansando.
Es decir, cuando Eladio llego a la meta, Hermes aún no había llegado.
Eladio llegó a la meta antes que Hermes, pero después que Benito.
Entonces el primero en llegar es Benito, el segundo es Eladio y el tercero será Hermes.
Con la data inicial podemos decir que:
Benito llega en segundo lugar.
Eladio llega en sexto lugar
Hermes llega en noveno lugar.