The correct answer is x = -90.
To find this, solve using the order of operations. See the example below.
x/-3 - 41 = -11 ----> Add 41 to both sides
x/-3 = 30 ----> Multiply each side by -3
x = -90
Answer: 128.5km
Step-by-step explanation:
Since we are given the information that the distance by road from town A to town B is 257 km. To get 50% of the distance, we simply have to multiply the distance given by 50%. This will be:
= 50% × 257km
= 50/100 × 257km
= 0.5 × 257km
= 128.5km
Therefore, 50% of the distance is 128.5km.
Answer:
- <em><u>5.6875 in</u></em>
Explanation:
At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).
Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)
I tried to upload the drawing but the tool is not allowing it now.
In the figure:
- The length of the tangent (6 in) is one leg of the triangle
- The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
- The other leg is the radius, r.
Then, you can use Pythagorean theorem:
Solve:
- r² + 36 = r² + 5.5r + 7.5625
The solution is in inches: r = 5.6875 inches ← answer
Answer:
11 17/21
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Intersection of a regular octagon and a line segment can result in:
- Triangle (ABC as example)
- Quadrilateral (ABCD as example)
- Pentagon (ABCDE as example)
- Hexagon (ABCDEF as example)
- Heptagon (ABCDEFG as example)
Refer to attached
