1. Find the number which consists of 3 digits and the sum of the three digits is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its
digits are reversed.

Step-by-step explanation:

Let x,y,z be the 3 digits of the no. in that order. It is given, x+y+z =10 …..(1)

y=x+z

Substituting the value of y in 1

x+x+z+z=10

2x+2z=10

x+z=5…….(2)

100x+10y+z+99=100z+10y+x

99x+99=99z

x+1=z…..(3)

Substituting the value z in 2

x+x+1==5

2x=4

x=2

Substituting the value of x in 3

z=3

y=5

Si the no. is 253

253

Step-by-step explanation:

Let he the number be xyz

Since we are given that the sum of the digits is 10

So,   ---1

Now we are given that The middle digit is equal to the sum of the other two

So,   --2

Now we are given that the number will be increased by 99 if its digits are reversed.

⇒

⇒

⇒

⇒

⇒  --3

Substitute the value of x in 2

Substitute the value of x and y in 1

Substitute the value of z in 3

⇒

⇒

Substitute the value of z and x in 1

[tex]y=5/tex]

Thus the number is xyz=253

Hence the number is 253

use formula for the circle a=3.14

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.