Last year at a certain high school, there were 150 boys on the honor roll and 150 girls on the honor roll. This year, the number of boys on the honor roll increased by 24%
and the number of girls on the honor roll increased by 10%. By what percentage did
the total number of students on the honor roll increase? Round your answer to the
nearest tenth (if necessary).

17%

Step-by-step explanation:

Last year:

Number of boys = 150 boys

Number or girls = 150 girls.

Total = 300 students

This year:

Number of boys = 150 + (24% × 150)

= 150 + (0.24 × 150)

= 150 + 36

= 186

Number or girls = 150 + (10% × 150)

= 150 + (0.1 × 150)

= 150 + 15

= 165

Total students = 186 + 165 = 351

Percentage increase = (351 - 300) / 300 × 100

= 51 / 300 × 100

= 17%

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.