Important:
The sum of the three angles inside
every triangle is always 180°.
First, look at the left triangle alone.
Two of its angles are 46° and 58° . (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.
x = 76° .
At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But x = 76°.
So z = (180° - 76°). z = 104° .
Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and z = 104°.
(13° + 104°) = 117° .
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
y = 63° .
<span>43.586 rounded to the nearest tenth is 43.60 because the number in the tenth place is 5 but the number to right of it is greater than 5.</span>
Answer:
The length of 'x' is 4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
The pythagorean theorem is:
Therefore x = 4
The dimension of the parallelogram is length = 25 m and width = 15 m.
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.
The perimeter of a parallelogram is 2(length + breath).
Let the breath of the parallelogram be x.
Given that the length of the parallelogram is 10 m longer than width.
The length of the parallelogram is (x + 10)m
The perimeter of the parallelogram is 2(x+10 +x) = 2( 2x + 10)
According to the question,
2(2x + 10) =80
Divide both sides by 2
2x + 10 = 40
Subtract 10 from both sides:
2x = 30
Divide both sides by 2
x = 15
The length of the parallelogram is (10 + 15) m = 25m.
To learn more about area of parallelogram; click on below link:
brainly.com/question/19187448
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