Antti entered a $10$-kilometer race. his goal is to finish in one hour. he starts off sprinting, and completes the first $2$ kilometers of the race at an average speed of $12$ kilometers per hour. to achieve his goal of a one-hour finish time, what average speed must antti maintain for the last $8$ kilometers of the race? enter your answer as a number in decimal form, without units. 15 points

Speed = distance/time

First 2km:

time = distance/speed

time = (2km) / (12km/hour) = 1/6 hours

Time remaining to get to 1 hour = 1-(1/6) = 5/6 hours

Distance remaining to finish the race = 10km-2km = 8km

speed =  8km/(5/6 hours) = (8*6)/5 = 9.6 km/h

Maintain an average speed of 9.6 km/h

Step-by-step explanation:

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = 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.