What is the value of x 45 10 45

Mathematics

1 answer:

Svetllana [295]4 years ago

3 0

Answer:

5√2

Step-by-step explanation:

This triangle is a 45 - 45- -90 triangle which is a special trig triangle. This triangle has side lengths which are always the lengths or a a multiple of 1 - 1 - √2.

Since the side length which is longest is 10, this corresponds to the side length √2. Look for a number which when multiplied with √2 gives 10.

√2*√50 = √100 = 10.

The triangle has scaled up the parent triangle by a factor of √50. This means the other sides are 1*√50 = √50 = 5√2

This simplifies to 5√2 since √50 = √25*√2 = 5√2.

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4 years ago

Solve |x| < 13<br> A. {-13, 13}<br> B. {x| -13< x < 13}<br> C. {x|x < -13, x> 13}

Gemiola [76]

Answer:

the solution for x will be given by {x| -13 < x < 13}

Therefore the correct option is B.

Step-by-step explanation:

i) given that |x| < 13

ii) therefore x < 13 for positive values of x

iii) for negative values of x we have -x < 13

therefore x > -13