In ΔPQR, \text{m}\angle P = (4x-14)^{\circ}m∠P=(4x−14) ∘
, \text{m}\angle Q = (5x+6)^{\circ}m∠Q=(5x+6)
∘
, and \text{m}\angle R = (x-2)^{\circ}m∠R=(x−2)
∘
. Find \text{m}\angle R. m∠R.

52

Step-by-step explanation:

4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.  

Subtract 4x from both sides and get:

8=1x -3

Add 3 to both sides:

11= 1x

if x =11, plug that in to angle A.  

4x+ 8 becomes 4(11)+8 =

44+ 8=

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6

5/20 so 25%

step-by-step explanation: