We have an isosceles triangle and 2 lines that are drawn through some ( any ) point on the base. The both lines are parallel to one of the legs. Then those lines with the legs of the triangle make a parallelogram. We can say that x and y are the sides of the parallelogram. Then: x + y = 5 in. And the perimeter of the parallelogram: P = 2 x + 2 y = 2 * ( x + y ).
P = 2 * 5 =
10 in. The rest is in the attachment.
Answer: The perimeter of the constructed parallelogram is 10 inches.
Answer:
5x^2 - 7x - 10.
Step-by-step explanation:
11x^2+2-7x-6x^2-12
Bring like terms together We get:
11x^2 - 6x^2 - 7x + 2 - 12
= 5x^2 - 7x - 10.
Answer:
107 meters
Step-by-step explanation:
Central angle = 123°
In radians
123° = 123π/180
123° = 2.147 radians
Putting in formula
S = r∅
S = (50)(2.147)
S = 107 meters
Answer:
14.6cm
Step-by-step explanation:
The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.
Hope this helps!
Answer:
C. 130
Step-by-step explanation:
Since the sum of the interior angles for a quadrilateral shape is 360 degrees, you take 55 and 45 away from 360 to get 260. You need to then divide that number by 2 to get Q and S, but you are looking for Q in this case, so the answer is 130.