In a room, there are 450 students of which 20% are girls. A group of students have mobile phones with them, of which 40% are gir
2 answers:
Answer:
90
Step-by-step explanation:
Total number of students = 450
20 % are girls
So, number of girls =
=
=
=
Now let no. of students having mobile phones be x
So, number of students not having mobile phones = 450-x
Now we are given that A group of students have mobile phones with them, of which 40% are girls
So, This implies 60% of boys out of x having mobile phones.
So, number of girls having mobile phone =
Now we are given that Of those students without a mobile phone, only 10% are girls
So, number of girls not having mobile phone =
So, total number of girls :
=
=
=
=
=
=
So, Number of boys having mobile phone =
=
Hence there are 90 boys have mobile phones in that room.
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Answer:
The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
Step-by-step explanation:
The area (A) of each pizza is given by:
Where:
r: is the radius
For the 12-inch pizza we have:
And for the 6-inch pizza we have:
The ratio between A₆ and A₁₂ is:
Hence:
Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
I hope it helps you!
Answer: The correct option are as follows;
(1) The triangles are similar because corresponding sides are congruent
(2) The triangles are similar because alternate interior angles are congruent
(3) In the similar triangles, Angle 3 and Angle 6 are corresponding angles
Step-by-step explanation: Please refer to the picture attached for details.
The line i and line e has been drawn and marked as parallel lines. Also two transversal lines m and n have been drawn to intersect in the region between the parallel lines to form two triangles (as shown in the picture).
From the information given, where line e intersects with line n we have angle 1, and where line e intersects with line m we have angle 3, and then the third angle is angle 2.
Furthermore, where line l intersects line m we have angle 6, and where line l intersects line n is angle 4. Also in this second triangle, the third angle is 5.
Upon close observation we would see that Angle 6 is equal to Angle 3, since the transversal m has cut across both parallel lines l and e. Similarly Angle 4 is equal to Angle 1 since the transversal n has cut across parallel lines l and e. Having that Angles 3 and 1 are congruent to Angles 6 and 4, we can conclude that the value of the third angle in one triangle is equal to the that of the third in the second triangle, that is, Angle 2 equals Angle 5. Also, if the angles are similar and the lines l and e are parallel, then the lines formed in both triangles are equal.
So our conclusions are;
The interior angle are alternate angles (Angles 3 and 6, Angles 1 and 4), and the third interior angles are Opposite (Angles 2 and 5 {Opposite angles are equal})
