Answer:
Add all of your given parts and set them equal to 360. Your equation should look like this: U+61+2U-49+2U-32=360
Solve for U and your answer should be U=76
Answer:
A. (Orthocenter) → Altitude
B. (Incenter) → Angle bisector
C. (Centroid) → Median
D. (Circumcenter) → Perpendicular bisector
Step-by-step explanation:
A. The orthocenter is the point of concurrency of the three altitudes of a triangle, therefore, the matching line with the letter <em>A</em> is <em>altitude</em>
B. The incenter is the point of concurrency of the bisectors of three interior angles of a triangle, therefore, the matching line with the letter <em>B</em> is <em>angle bisector</em>
C. The centroid is the point of concurrency of the three medians of the triangle, therefore, the matching line to the letter <em>C</em> is <em>median</em>
D. The circumcenter is the point of concurrency of the three perpendicular bisectors of the three sides of a triangle, therefore, the matching line to the letter <em>D</em> (which corresponds with the circumcenter) is <em>perpendicular bisector.</em>
Answer:
The function f(x) is not given, I used a different function but the approach and steps is the same .
Step-by-step explanation:
- Given the function f(x) = 2x2 - 8x + 5
compare with the normal quadratic equation ; ax2 + bx + c = f(x)
- since a is greater than zero i.e a > o {positive}
As such, it has a minimum
hence for minimum value; x = -b/2a
x = -(-8)/2 x 2
x = 8/4 = 2
plugging the values of x in f(x) ; f(2) = 2(2)^2 -8(2) + 5
f(2) = -3, hence it has minimum value and the minimum value is -3
Answer:
51 74
Step-by-step explanation:
x = smaller
x +23 = larger
added together (x + x+23) equal to 28 less than 3x = 3x-28
x + x+23 = 3x-28 subtract 2x from both sides of the equation
23 = x -28 add 28 to both sides
51 = x then the larger = 51 + 23 = 74