Jeff is one year older than erica, and erica is one year older than alden. if the sum of their ages is 75, how old is each person?

Jeff is 26 years old

Erica is 25 years old

Alden is 24 years old

Step-by-step explanation:

Let the age of Jeff be x years.

Let the age of Erica be y years.

Let the age of Alden be z years.

Jeff is one year older than Erica. This means that

x = y + 1

Erica is one year older than Alden. This means that

z = y - 1

If the sum of their ages is 75, it means that

x + y + z = 75 - - - - - - - - - - - - 1

Substituting x = y + 1 and z = y - 1 into equation 1, it becomes

y + 1 + y + y - 1 = 75

3y = 75

y = 75/3 = 25 years

x = y + 1 = 25 + 1

x = 26 years

z = y - 1 = 25 - 1

z = 24 years

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).