Step-by-step explanation:
So, you have to get angle under 130° angle:
180°-130°= 50°
And you get X
x=180°-(113°+50°)
x=180°- 163°
x=17°
Answer:
Step-by-step explanation:
The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes
200 × 3.14 = 628 feet
Total distance around the track would be
300 + 300 + 628 = 1228 feet
5280 feet = 1 mile
1228 feet = 1228/5280 = 0.23 mile
If he runs around the track exactly 15 times, it means that the number of miles covered is
0.23 × 15 = 3.45 miles
Since he will collect $4.50 for every mile he runs, the amount of money that he collected is
4.5 × 3.45 = $15.5
Hello.
First, let the number be r.
5 times r is written like this:

Now, add 45:

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

In order to solve this equation, we need to add 85 and 140:

Now, subtract 45 from both sides:



The last step is to divide both sides by 5:

Therefore, the answer is

I hope it helps.
Have a nice day.

Answer:
19.365
Step-by-step explanation:
The Pythagoreum Theorum tells us that:
a² + b² = c²
where a and b are the legs and c is the hypotenuse.
BC is a leg; we'll lable it a.
AC is the hypotenuse thus labled c.
Plugging their lengths into the above formula will solve for the missing leg length.
5² + x² = 20²
25 + x² = 400
x² = 375
✓x = ✓3 x (5 x 5) x 5
x = 5✓15
x = 19.365