-x+26=2x-10
+x +10 +x +10
36+3x
divde by 3
12=x
m∠D=2(12)-10
=24-10
=14
Answer:
It's supposed to be 4-7/1-8
Step-by-step explanation:
The formula for slope is y1 - y2 / x1 - x2 (subscript). So you would take the y value from (8,7) which is 7, and subtract by the y value from (1,4), which is 4. You do the same for the x values and you get 7-4/8-1, which is 3/7.
Answer: the cyclist must wait for 25 minutes until the hiker catches up.
Step-by-step explanation:
Distance = speed × time
The Cyclist was travelling in the same direction along the same path
as the hiker at a constant rate of 20 miles per hour. If the cyclist stops to wait for the hiker 5 minutes after passing her, then the distance that the cyclist travelled in 5 minutes(5/60 hour) is
20 × 5/60 = 100/60 miles
For the hiker to catch up with the cyclist, she would cover 100/60 miles at a speed of 4 miles per hour.
Time = distance/speed
Time required by hiker to catch up with the cyclist is
(100/60)/4 = 100/240 hour
Converting 100/240 hour to minutes, it becomes
100/240 × 60 = 25 minutes
Answer:
10.3
Step-by-step explanation:
Triangle E D F is shown. The length of E F is 8 and the length of D F is 5. Angle E D F is 116 degrees and angle D F E is 31 degrees.
Trigonometric area formula: Area = One-half a b sine (C)
What is the area of triangle DEF? Round to the nearest tenth of a square unit.
10.3 square units
18.0 square units
20.0 square units
20.6 square units
Y = 2^x
For a 64 team tounament, 64 = 2^6, so there will be six rounds of play.
For a 128 team tounarment, 128 = 2^7, so there will be 7 rounds of play.
Any number of teams which is not a power of 2 is an inappropriate number of team for tounament play.
