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2 years ago

Use special right triangles to solve for the value of x.

Mathematics

2 answers:

snow_lady [41]2 years ago

8 0

<u>Answer </u>

<u>Explanation. </u>

The triangle shown is a right triangle. One of the acute angles is given as 45°. Angles in a triangle add up to 180°

So we can get the third angle of the triangle as follows:

180 - (90+45) = 45.

From this we can conclude that, apart from the triangle being an right triangle, it is also isosceles triangle. This means that the two shorter sides of the triangle are equal.

So, the value of x is 7.

Verizon [17]2 years ago

3 0

Answer: x = 7

Explanation:

1) This special right triangle is the isosceles right triangle: 45°-45°-90°.

It is an isosceles right triangle, then x = 7.

2) For these the isosceles right triangle you have: hypotenuse = leg length × √2.

You can prove that using Pythagoras: hypotenuse² = side² + side² = 2×side² ⇒ hypotenuse.

3) Therefore: x = 7 and y = 7√2

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370.85

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2 years ago

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The area of the circle is 132.7 square centimeters. What is the diameter

VladimirAG [237]

Equating the formula (d is the diameter)

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3 years ago

Janelle wrote the matrix addition below. Which statement is true?

Sonja [21]

Option A is correct.

Step-by-step explanation:

We need to identify which statement is true in matrix addition.

In matrix addition we just add the corresponding elements.

In the options given only Option A is correct i.e, (n+4)-7 = 18

All other options have error in them.

In Option B there should be -12 instead of +12

In Option C there should be -11 instead of 11

In Option D we are not adding corresponding entries.

So, Option A is correct.

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3 years ago

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The sketch shows the distance three runners travel during a race. Describe what occurs at times A,B,C and D. In what order do th

goldfiish [28.3K]

Answer:

Notice that the distance is in the y-axis, and the time in the x-axis.

First, let's see what happens in the four points:

A) You can see that in point A, the steepness of the line increases, this means that the speed of the runner increases in that point.

B) In this point, the runner that increased his/her speed in point A crosses the graph of another runner, this means that they are at the same distance to the end and at the same time.

C) In this point again two runners are at the same distance and the same time, and we also can see that the runer that increased his/her speed at point A, now has reached the end of the race (because his line stops increasing, wich means that he/she already finished the race)

D) The las runner finishes the race at point D.

Then the first runner that finishes the race is the one with the shorter graph (shorter graph means that he ran for less time than the others, wich means that he/she finished first)

The last runner is the one that finished at point D,

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3 years ago

Andrew has one book that is 2 3/7 inches thick and a second book that is 3.56 inches thick. If he stacks the books, about how ta

MA_775_DIABLO [31]

Answer:

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3 years ago