Answer:
QR = 5
Step-by-step explanation:
Since the parallelograms are similar, then the ratios of corresponding sides are equal, that is
=
, then
=
( cross- multiply )
9QR = 45 ( divide both sides by 9 )
QR = 5
5.75% of 25 is 1.43
20% of 25 is 5
25+5=30+1.43=$31.43
Jami Spent $31.43 on her manicure.
Answer:
Height of ceiling = 9.04ft
Step-by-step explanation:
Given:
Length of pole = 5ft
Horizontal angle = 
Jenny's height = 5ft6in = 5ft + (6/12)ft= 5ft + 0.5ft
Jenny's height = 5.5ft
From the attached diagram, we have that

b ≅ 3.54ft
Height of ceiling = Height of Jenny + b
Height of ceiling = 5.5ft + 3.54ft
Height of ceiling = 9.04ft
Answer:
-4 < x < -8
Step-by-step explanation:
Given solve -x > 8 or -x < 4.
Solve each inequality first
-x > 8
Divide both sides by -1
-x/-1 > 8/-1
x < -8
Also if -x < 4
Divide both sides by -1
-x/-1 < 4/-1
x > -4
Combine both inequality x < -8 and x > -4
-4 < x < -8
<em>Hence the solution set is -4 < x < -8</em>