At the Charleston Balloon Festival, a hot air balloon is sighted at an altitude of 800 feet. It appears to be descending at a steady rate of 20 feet per minute. Which of the following expressions describe the height of the hot air balloon after any given number of minutes? a. 20-800m
b. 800+20m
c 20+800m
d 800-20m

D 800-20m

Step-by-step explanation:

If I am wrong then it could  be B. I hope I could help.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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.