Answer:
There are 48 children.
Step-by-step explanation:
Given :There are 3 times as many boys as girls.
There are 24 more boys than girls,
To Find : how many children are there?
Solution:
Let the number of girls be x
Now we are given that there are 3 times as many boys as girls.
So, no. of boys = 3x
Now we are given that there are 24 more boys than girls.
So, 


So, no. of girls = 12
No. of boys = 3x = 3(12) = 36
Now the total no. of children = 12+36 = 48
Hence there are 48 children.
Break it off where the triangle goes into a square/ rectangle
The common ratio of 2, 10/3, 50/9 is 
<u>Solution:</u>
Given, series of elements are 
We have to find the common ratio of the above given series.
We know that, common ratio of an G.P is division of any number in that series with the previous number of the series.
So, now take
and 2


Hence, the common ratio of the given series is 
Answer:
m<PTR = 140°
Step-by-step explanation:
First, find the value of x. To find the value of x, derive an equation which you'd use in solving for x.
m<PTQ = (x + 28)°
m<RTS = (2x + 16)°
m<PTQ = m<RTS (vertical opposite angles are congruent)
Therefore:
x + 28 = 2x + 16
Solve for x. Combine like terms
28 - 16 = 2x - x
12 = x
x = 12
Find m<PTQ
m<PTQ = (x + 28)
plug in the value of x
m<PTQ = 12 + 28 = 40°
m<PTR + m<PTQ = 180° (supplementary angles)
m<PTR + 40° = 180° (substitution)
m<PTR = 180 - 40 (subtracting 40 from each side)
m<PTR = 140°