Answer:
-7
Step-by-step explanation:
Answer:
50°
Step-by-step explanation:
In a parallelogram, opposing angles must be equal. Note how 75° = 75°. Thus, opposing angles 2x + 5 and x + 55 must also be equal.
Solve this equation for x.
Subtracting x from both sides yields x + 5 = 55. Next: Subtracting 5 from both sides yields x = 50° (answer choice C)
Answer:
8.5 feet
Step-by-step explanation:
1.5 times 4
To find the area of the arena, you will need to find the areas of the rectangular spaces and the 2 semicircles. Because the formulas are given, I will just substitute in the values and show the work for finding the areas.
To find the perimeter, you will look at the distances of lines that take you around the space. Because two of these spaces are half circles, you will need to find the circumference of the full circle.
Also, the answers need to be given in meters, so all units given in centimeters will be divided by 100 to convert them to meters.
Perimeter:
C= 3.14 x 20 m
C = 62.8 meters
62.8 + 8 + 25 + 8 + 5 + 8 + 10 + 8 + 40= 174.8 meters for the Perimeter
Area:
A = 25 x 8
A = 200 square meters
A = 10 x 8
A = 80 square meters
A = 20 x 40
A = 800 square meters
A = 3.14 x 10^2
A = 314 square meters
Total Area: 314 + 800 + 80 + 200= 1394 square meters
Answer:
He must win 11 more matches to qualify for the bonus.
Step-by-step explanation:
24/36 * 100 = 67% (to the nearest %) - This is the current percentage of what the Tennis player has won.
If we add 14 more matches on to the 36 the player has already played, we know that the Tennis player plays 50 matches in total.
Let's say the Tennis player was playing 100 matches, they would need to win 70 or more to qualify for the bonus. Because the player is playing half this amount of matches, we half the amount of games they have to win...
35/50 games or more must be won to qualify for the bonus. The Tennis player has already won 24 matches, so must win 11 more matches to qualify for the bonus.
Hope that helps!