<em>The question has inconsistent or incomplete data, so I'm filling the holes with key data.</em>
Answer:
<em>Every people at dinner received one-tenth of the original turkey= 0.1</em>
Step-by-step explanation:
<u>Proportions</u>
If some fraction a/b of a whole total M is to be computed and later removed, we proceed as follows
* Compute the portion to be removed as a/b*M
* Subtract it from the total quantity: M-a/b*M=M(1-a/b)
I'm assuming 1/5 of the turkey was lost due to overcooking. It means that (1-1/5) of the turkey remained for dinner, that is, 4/5 of the turkey.
Each people at dinner received the same amount of the remaining, so we must divide 4/5 by 8, to get 4/40, or 1/10. It means that every people at dinner received one-tenth of the original turkey
Answer:
45°
Step-by-step explanation:
A parallelogram is a polygon with 4 sides and 4 angles (that is a quadrilateral).
For a parallelogram ABCD, Opposite sides and opposite angles are equal (i.e. BC = AD and ∠A = ∠C).
Consecutive angles are supplementary that is ∠A + ∠B = 180°.
The diagonals of a parallelogram bisect each other also separating the parallelogram into two congruent triangles.
In parallelogram HIJK, ∠H and ∠J are opposite angles. hence:
∠H = ∠J (opposite angles of a parallelogram are equal)
∠J = 45°
Answer:
2.2 metres squared
Step-by-step explanation:
We need to find the area of this trapezoid.
The area of a trapezoid is denoted by:
, where 
and 
are the parallel bases and h is the height
Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.
Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:
2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4
Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:
The answer is thus 2.2 metres squared.
<em>~ an aesthetics lover</em>
Answer:
f(x) = 4(x - 8)
4 (10 -8) = 8
Step-by-step explanation:
