Answer:
No congruency statement can be made because the side length are unknown.
Step-by-step explanation:
The sum of the measures of all interior angles in a triangle is always 180°.
In triangle XYZ,

then

In triangle TUV,

then

We have two triangles with congruent angles but we have no information about side lengths. Therefore, can not be made because the side length are unknown. Correct option is last option.
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards.
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards.
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x.
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
=> Area, A
= 2x (y1 - y2)
= 2x (18 - x^2 - 2x^2 + 9)
= 2x (27 - 3x^2)
= 54x - 6x^3
For area to be maximum, dA/dx = 0 and d²A/dx² < 0
=> 54 - 18x^2 = 0
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants)
d²A/dx² = - 36x < 0 for x = √3
=> maximum area
= 54(√3) - 6(√3)^3
= 54√3 - 18√3
= 36√3.
Answer:
327
Step-by-step explanation:
In the thousands cateragory of the number lies the numbers 327 giving you your answer
Answer:
4223?
Step-by-step explanation:
i need morw context
Answer:

Step-by-step explanation:
Given
Molly: 50 out of 200
Joel: x out of 280
Required
Find x
Start by representing the giving parameters as ration
Molly= 50 : 200
Joel = x : 280
From the question, the ratios are equivalent. So,

Convert to fractions

Solve for x



