Answer:
x = 47°
y = 10
z = 5
Step-by-step explanation:
They share the middle line which is one side. It's given that side y is congruent to the side with a value of 5. Angle X and the non labeled angel are also congruent to each other. Using SAS (side angle side) we can conclude the 2 triangles are congruent, which means all angles and sides are congruent and equal.
The angles of a triangle add to 180.
x+90+43=180
x=47
z is congruent/equal to 5 since they are congruent and equal triangles. Therefore z=5
Y is congruent to side 10, which also means it is equal to 10. Therefore y=10
There are 2 short sides x and 1 long side y.
x+x+y=1,800
2x+y=1,800
y=1,800-2x
The area of the rectangle is A=x(1,800-x).
A is a function with variable x. Moreover it is a quadratic (second degree) function.
The graph of the function is a parabola which opens downwards, because the signs of the leading coefficients of the factors, multiply to minus:
(x)(-x)=-x^2.
This means that the highest point of the parabola, is its vertex V(h,k), so the function takes its largest value for x=h.
The roots of A=x(1,800-x) are x=0 and x=1,800, thus the x coordinate of the vertex, must be the midpoint of 0 and 1,800, that is 900.
Answer:
A=x(1,800-x)
largest area is when x=900
123/0.75 =164
the answer is 164
As the volume of cuboid is given by,
l×b×h
as the dimensions are doubled,
l2×b2×h2
5×2×4×2×3×2
= 480 cm^3
Answer:
3.6 for tomatoes and 8.4 for lettuce
Step-by-step explanation:
70% of 12=8.4
30% of 12=3.6
check: 3.6+8.4=12
