Answer:
4
Step-by-step explanation:
If you set the numbers in order from least to greatest, you will find that 4 is the middle value(median)
Answer:
-2
Step-by-step explanation:
10x+30+9x+4=x-5+3
19x+34=x-2
18x=-36
x=-2
Answer: BC = 16√2 ft
Step-by-step explanation:
Triangle ABC is a right angle triangle. From the given right angle triangle, BC represents the hypotenuse of the right angle triangle.
With m∠W as the reference angle,
AB represents the adjacent side of the right angle triangle.
AC represents the opposite side of the right angle triangle.
To determine the length of BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 45 = 16/BC
√2/2 = 16/BC
BC = 16/(√2/2) = 16 × 2/√2
BC = 32/√2
Rationalizing the denominator, it becomes
BC = 32/√2 × √2/√2
BC = 32√2/2
BC = 16√2 ft
Answer:
x = 11º
Step-by-step explanation:
1. Notice Parallel Lines
2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)
3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º
4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.
5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).
- 2x + 33 = 5x (C.L.T or <u>C</u>ombine <u>L</u>ike <u>T</u>erms)
- 3x = 33 (inverse operations; divide by 3)
- x = 11º (remember to apply units)
Answer:
a cone with a base circumference of about 126 mm
Step-by-step explanation:
Rotating a triangle about a line results in a cone created by the rotation. This is because the segment at the bottom forms a circle, and the point at the top stays there; the three-dimensional figure with a circular base and a point at the top is a cone.
Since we rotate the segments about a line, this makes the length of the base the radius of the circle. This means the circumference would be
C = 2πr = 2(3.14)(20) = 125.6 ≈ 126 mm
