Step-by-step explanation:
Firstly, we have to find m∠J.
Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.
So,
m∠J + m∠L + m∠K = 180°
The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.
m∠J + 49° + 90° = 180°
Then we simplify
m∠J + 139° = 180°
Subtract 139° to both sides
∠J = 41
Now the other angles.
Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠T
Meaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠T
Since we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...
41° = m∠R , 90° = m∠S , and 49° = m∠T
The answer is b. Multiply 8 by 6 then add 7. Hope it helps.
-2m + 5 = 2m + 5
2m + 2m = 5 - 5
4m = 0
m = 0
-2m + 5 = -2m + 5
-2m + 2m = 5 - 5
0 = 0
-2m + 5 = -2m - 5
-2m + 2m = 5 + 5
0 = 10
Solution set is Ф
The third equation is the correct answer.
(1)
given 
= 
( cross- multiply )
10j = 54 ( divide both sides by 10 )
j = 
= 
← in simplest form
(9)
let h be the hours worked daily , then
3h = 20 
= 
( divide both sides by 3 )
h = ÷ 3
= × 
= 
= 6 
She worked 6 hours each day
