What is the smaller angle of (x+20) (5x+10)

Step-by-step explanation:

Angle measure of the smaller angle in two complement angles = x

Angle measure of the bigger angle = x + 20

Their sum = 90° ( the sum of two complementary angles is always equal to 90° )

This can be written in an equation as =

= x + x + 20 = 90

= 2x + 20 = 90

= 2x = 90 - 20 ( transposing +20 from LHS to RHS changes +20 to -20 )

= 2x = 70

= x = 70 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )

= x = 35

Then the value of the smaller angle = x = 35°

The value of the bigger angle = x + 20 = 35 + 20 = 55°

Therefore , the measure of degrees in the the smaller angle is :

Angle measure of the smaller angle in two complement angles = x

Angle measure of the bigger angle = x + 20

Their sum = 90° ( the sum of two complementary angles is always equal to 90° )

This can be written in an equation as =

= x + x + 20 = 90

= 2x + 20 = 90

= 2x = 90 - 20 ( transposing +20 from LHS to RHS changes +20 to -20 )

= 2x = 70

= x = 70 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 )

= x = 35

Then the value of the smaller angle = x = 35°

The value of the bigger angle = x + 20 = 35 + 20 = 55°

Therefore , the measure of degrees in the the smaller angle is :

The answer is in the image 

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The answer is in the image 

The answer is in the image 

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.