An owner submits plans for a dining room measuring 100 ft. by 35 ft. how many diners will be allowed if the plans department requires 30 square feet per diner?

116 diners.

Step-by-step explanation:

An owner submits plans for a dining room measuring 100 ft. by 35 ft.

The plans department requires 30 square feet per diner.

Area of dining room  =  100 × 35 = 3500 feet²

Required area per diner = 30 feet²

Number of diners allowed =

=

= 116.67

We can not round off 116.67 to 117 because area required by 117 diners will be = 117 × 30 = 3510 feet² which is more than the area of the dinning room

Therefore, 116 diners will be allowed.

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.