Eddie cut two pieces of 4 feet long balsa wood and divided it into 2/4 each that implies he cut each piece of balsa into 1/2 portion.
<h3>
Answer:</h3>
25
<h3>
Step-by-step explanation:</h3>
The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.
Finding X
To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.
- Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.
Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.
By subtracting 115 from both sides we know that x = 65.
Solving for Y
Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.
- Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.
Lastly, we can create a formula to find y with the angle sum theory.
Combine like terms
Subtract 155 from both sides
This means that the angle y is 25 degrees.
Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:
sin(30º) = h/34
0.5 = h/34
h = 17.
Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:
x = 24.
y is divided into two segments.
- The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
- The second is adjacent to the angle of 45º, while the hypotenuse is 24.
Then:
Then, the value of y is given by:
.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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In slope-intercept form, the y variable is isolated.
so,
<span>13+5y=6x
Subtract 13 on both sides.
5y=6x-13
Divide by 5 on both sides.
y=6/5 x -13/5</span>