Efficient manufacturing: Efficiency experts study the processes used to manufacture items in order to make them as efficient as

Mathematics

1 answer:

Delicious77 [7]2 years ago

3 0

Answer:

I'm not sure sorry good luck though

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What coordinate for F would make triangle ABC and triangle DEF congruent? Triangle ABC is shown. For triangle ABC, A is at 0, 3,

k0ka [10]

Recall that two shapes are said to be congruent if the lengths of the sides and the angles are the same.

For triangle A B C to be congruent to triangle D E F, then A B = D E, A C = D F and B C = E F

Also, the triangle D E F is a result of a rigid body translation of the triangle A B C.

Given that A is at point (1, 0) and D is at point (-1, 0), also given that B is at point (-1, 2) and E is at point (1, -2).

It can be seen that points D E is a result of refrecting points A B across the y-axis and then the x-axis.

Thus, given point C as (2, 3), refrection of point C across the y-axis will result in point (-2, 3) and then reflecting the resulting point across the x-axis will result to point (-2, -3).

Therefore, the coordinate for 'F' that would make triangle A B C and triangle D E F congruent is (-2, -3).

7 0

3 years ago

You ask your friend which U.S. states have the greatest population densities. Your friend says it must be California and Texas b

Brilliant_brown [7]

"-No, because California and Texas also have two of the greatest areas, so they may not have the greatest population densities."

This is correct as the states such as New Jersey may not have as large as a population as Texas and California but, have a significantly less land than those states. Population density refers to people per km squared, which takes both land and population into account.

Hope this helps!
-Benjamin

6 0

3 years ago

If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.

maks197457 [2]

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

$\frac{3.5}{x} = \frac{14}{18}$