Jane made a door frame for the house but does not have a tool to measure the angles. how can she check that the corner is 90 degrees?

In order to check whether the corner is 90 degrees or not, apply the Pythagorean theorem. Substitute the values of H, B, and P. If LHS is equal to RHS then the corner of the frame is 90 degrees.

Given :

Jane made a door frame for the house but does not have a tool to measure the angles.

The following steps can be used in order to determine that the corner of a frame is of 90 degrees:

Step 1 - The Pythagorean theorem can be used in order to determine the corner of a frame is of 90 degrees.

Step 2 - According to the Pythagorean theorem, the sum of the squared of the shorter side is equal to the square of the larger side.

Step 3 - The Pythagorean theorem is applicable when the triangle is a right angle triangle.

Step 4 - The Pythagorean theorem is given by:

  --- (1)

where H is the hypotenuse, P is the perpendicular, and B is the base of the right angle triangle.

Step 5 - In order to check whether the corner is 90 degrees or not, apply the Pythagorean theorem. Substitute the values of H, B, and P in equation (1). If LHS is equal to RHS then the corner of the frame is 90 degrees.

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The door frame is a rectangle. The diagonals of a rectangle are congruent. She can measure the two diagonals and make sure they are congruent.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

3 is greater then both of those numbers