Answer:
x=39°
Step-by-step explanation:
the tangent from the diameter is 90°
x+90+51=180 sum of interior angle of the triangle is 180
x=180-90-51=39°
Answer:
-18
Step-by-step explanation:
-3 × 2 = -6
-6 × 3 = -18
Answer:
cos(F) = 9/41
Step-by-step explanation:
The triangles are similar, so you know that ...
... cos(D) = cos(A) = 40/41.
From trig relations, you know ...
... cos(F) = sin(D)
and
... sin(D)² +cos(D)² = 1
So ...
... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)
... cos(F) = 9/41
_____
The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.
From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know
... cos(F) = cos(C) = 9/41
Answer: x^2+9x+20
Step-by-step explanation:
To find the area you multiply the sides so it should be (x+4)(x+5) which is x^2+9x+20. Good luck!
Answer:
(3,0)
Step-by-step explanation:
The midpoint formula is as follows:
x1 would be 9, x2 would be -3, y1 would be 2, y2 would be -2. When plugged in, you should get 6/2, and 0/2 for y. When simplified, x would be 3 and y would be 0. This means that the midpoint of the line segment is (3,0)