Answer:
(49 - 29) + 1 =(50 - 29)
Step-by-step explanation:
The 20 comes from the subtraction of 29 in both sides of the previous step equality. In the following, I transcript the complete procedure and I add the step that you need to understand why 20 appears (in bold numbers):
29+20=49
49+1=50
(49 - 29) + 1 =(50 - 29)
20+1=21
50-29=21
hence, it was only nesseraty to subtract 29
DIvide 11 by 2
11/2
5.5
Multiply that by 7
5.5x7
38.5 feet tall
We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
An image is attached to complete the question.
Answer:
The correct option is B
They are complementary.
Step-by-step explanation:
Angle A, and angle B in the attached image sum up to ninety degrees.
Two angles are said to be complementary if they add up to make ninety degrees. This characteristic makes us conclude that the two given angles, which are 59°, and 31°, have the sum: 59° + 31° = 90°, and are therefore, complementary.
The correct option is B.
If the attachment is not what completes your question, then knowing the meanings of supplementary angles, and congruent angles, is enough to help decide what option to choose.
Supplementary angles are angles that sum up to make one hundred and eighty degrees. (180°)
Congruent angles are angles that have the same shape and size.
