Answer:
Correct choices are A and C
Step-by-step explanation:
Inscribed angles property: The inscribed angles subtended by the same arc are equal.
1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).
2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).
3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.
4. Angles EFH and FHG in general are not congruent. They can be congruent only when arcs EH and FG have the same measure. In general, option D is false.
Part A is asking you to substitute x for 6 and solve. Part B asks you to substitute x for -4.
Answer:
Distance = 5 units
Step-by-step explanation:
The given problem asks us to determine the distance between two points, (1, 5) and (5, 2).
<h2>Solution:</h2>
In order to find the distance between two points, we can use the following distance formula:
![\displaystyle\mathsf{Distance\:(D)= \sqrt{(x_2\:-x_1)^2\:+\:(y_2\:-y_1)^2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cmathsf%7BDistance%5C%3A%28D%29%3D%20%5Csqrt%7B%28x_2%5C%3A-x_1%29%5E2%5C%3A%2B%5C%3A%28y_2%5C%3A-y_1%29%5E2%7D%7D)
Let (x₁, y₁) = (1, 5)
(x₂, y₂) = (5, 2)
Step 1: Substitute points into the formula:
![\displaystyle\mathsf{Distance\:(D)= \sqrt{(x_2\:-x_1)^2\:+\:(y_2\:-y_1)^2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cmathsf%7BDistance%5C%3A%28D%29%3D%20%5Csqrt%7B%28x_2%5C%3A-x_1%29%5E2%5C%3A%2B%5C%3A%28y_2%5C%3A-y_1%29%5E2%7D%7D)
![\displaystyle\mathsf{Distance\:(D)= \sqrt{(5\:-1)^2\:+\:(2\:-5)^2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cmathsf%7BDistance%5C%3A%28D%29%3D%20%5Csqrt%7B%285%5C%3A-1%29%5E2%5C%3A%2B%5C%3A%282%5C%3A-5%29%5E2%7D%7D)
Step 2: Subtract the integers in each of the parenthesis under the radical:
![\displaystyle\mathsf{Distance\:(D)= \sqrt{(4)^2\:+\:(-3)^2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cmathsf%7BDistance%5C%3A%28D%29%3D%20%5Csqrt%7B%284%29%5E2%5C%3A%2B%5C%3A%28-3%29%5E2%7D%7D)
Step 3: Evaluate the powers (exponents):
![\displaystyle\mathsf{Distance\:(D)= \sqrt{16\:+\:9}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cmathsf%7BDistance%5C%3A%28D%29%3D%20%5Csqrt%7B16%5C%3A%2B%5C%3A9%7D%7D)
Step 4: Add 16 and 9:
![\displaystyle\mathsf{Distance\:(D)= \sqrt{25}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cmathsf%7BDistance%5C%3A%28D%29%3D%20%5Csqrt%7B25%7D%7D)
Step 5: Take the square root of 25:
⇒ Distance (D) = 5 units.
<h2>Final Answer:</h2>
Therefore, the distance between points (1, 5) and (5, 2) is <u>5 units</u>.
<h3>________________________</h3>
<u><em>Keywords:</em></u>
Distance formula
Two points
____________________________
Learn more about about this topic here:
brainly.com/question/17119550
Answer:
3x +6
Step-by-step explanation:
(4x+7) - (x+1)
Distribute the minus sign
(4x+7) - x-1
Combine like terms
4x -x +7-1
3x +6
https://jhmsmath.weebly.com/uploads/2/7/7/5/27756807/8th_grade_countdown.pdf go to this link page 52-54