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3 years ago

Hello, happy Friday, I am just here with some geometry questions.

Mathematics

1 answer:

klasskru [66]3 years ago

4 0

Answer:

U'(-14, 8)

Step-by-step explanation:

The transformations include:

T<-2,2>·D3

This is a dilation by a scale factor of 3 and then translation 2 units left and 2 units up.

The transformation applied to the point U:

U(-4,2) → U'(-4*3 - 2, 2*3 + 2) = U'(-14, 8)

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Look at the right-angled triangle ABC.

Nikolay [14]

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

The dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∴ ∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∴ ∠x + 90° = 180°

Hence;

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

∴ 90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

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