Ben is 20 years older than daniel. ben and daniel first met two years ago. three years ago, ben was 3 times as old as daniel.
how old is daniel now?

Daniel=13.

Step-by-step explanation:

We can use the given information to write down two equations that describe the ages of Ben and Daniel.

Let Ben's current age be b and Daniel's current age be d.

The information in the first sentence can be expressed in the following equation:

Three years ago, Ben was b−3 years old, and Daniel was d−3 years old.

The information in the third sentence can be expressed in the following equation:

Now we have two independent equations, and we can solve for our two unknowns.

Because we are looking for d, it might be easiest to use our first equation for b and substitute it into our second equation.

Our first equation is: b=d+20. Substituting this into our second equation, we get the equation:

which combines the information about d from both of our original equations.

Simplifying both sides of this equation, we get: d+17=3d−9.

Solving for dd, we get: 2d=26.

d=13.

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

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: