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Pavel [41]
2 years ago
5

What is the value of x? ​

Mathematics
1 answer:
Alecsey [184]2 years ago
3 0

Answer:

The value of x is 104

Step-by-step explanation:

we are given 52 we know that 52 is within an isosceles triangle.

which means 2 sides are the same which tells us that the two angles touching the unique side will have the same measure

we also know that a triangle adds up to 180 so 52 + 52 gives us 104 meaning the last angle will be 180 - 104 which is 76

now we have completed the first triangle if

if we look at corner c we know that it's a right angle

we know that right angles are a total of 90 degrees we know that the right angle is split into two complementary angles one of them is 52 which we figured from the first part so

90 - 52 would give us 38 now we know that in triangle CDE one of the measures is 38 at the c corner and another is 90 at the E corner

once again we do 90 + 38 = 128 and subtract that from 180 giving us 52.

Now we know the measures of triangle ADC and CDE

We also know that triangle EDB is a congruent mirror reflection of CDE

So by now we have the measures of 3 triangles CDE ADC AND EDB

we also know that angle F/x is equvilant to the total of both of angle D

so we just add 52 + 52 giving us the measure of the whole angle d combined which we know is eqivilant to angle f

So after all that we know that the value of x is 104 degrees.

Hope this helps its a long explanation but please take ur time to understand and read through it :)

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3 years ago
Give three ratios equivalent to 9:5
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6 0
3 years ago
Find the missing sides using special right triangles
ANTONII [103]

Answer:

The answers are;

m = 9, e = 9

Step-by-step explanation:

The question relates to right triangles with special properties;

The given parameters of the given right triangles are;

The measure of an interior angle of the triangle = 45°

The length of the given leg length of the triangle = (9·√2)/2

The length of the other leg length of the triangle = n

The length of the hypotenuse side = m

A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal

Therefore;

The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2

∴ n = (9·√2)/2

n = (e·√f)/g

Therefore, by comparison, we have;

e = 9, f = 2, and g = 2

By Pythagoras's theorem, we have;

m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9

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5 0
3 years ago
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frez [133]

Answer:

a 106

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Step-by-step explanation:

Hope this helps!

6 0
2 years ago
Read 2 more answers
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