Simplify |-7.5| - |10.3|

Mathematics

2 answers:

11111nata11111 [884]3 years ago

8 0

|-7.5| - |10.3| = 7.5 - 10.3 = -2.8

andreyandreev [35.5K]2 years ago

5 0

|-7.5| = 7.5
|10.3| = 10.3

Answer is 7.5 - 10.3 = -2.8

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Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

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Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

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So, correct answer is option B. AA

7 0

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