Alternate interior angles are congruent. Therefore, set the two angles equal to each other and solve for x.
3x+4= 115
3x+4 -4 = 115 -4
3x = 111
x= 111/3---> 37. Therefore, x = 37.
Answer: the perimeter of the shape is 19.1
Step-by-step explanation:
To determine the length of each side of the quadrilateral, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side
For line AD,
AD² = 2² + 4² = 4 + 16 = 20
AD = √20 = 4.47
For line AB,
AB² = 1² + 5² = 1 + 25 = 26
AB = √26 = 5.1
For line BC,
BC² = 2² + 4² = 4 + 16 = 20
BC = √20 = 4.47
For line CD,
CD² = 1² + 5² = 1 + 25 = 26
CD = √26 = 5.1
The perimeter of a plane figure is the distance around the figure. Therefore
Perimeter = AB + AB + BC + CD
Perimeter = 4.47 + 5.1 + 4.47 + 5.1 =
19.1
Answer:
50% of the teachers in the meeting were first-year teachers.
Step-by-step explanation:
Answer:
13.5
Step-by-step explanation:
Answer:
44°
Step-by-step explanation:
The reference angle is the magnitude of the smallest angle between the terminal ray and the x-axis.
Your angle is one full circle clockwise plus 44° more (-360° -44° = -404°), so makes an angle of -44° with respect to the positive x-axis. The magnitude of that is 44°.
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<em>Using a function</em>
The attachment shows a calculator function that can be used to find the reference angle for any angle. (Replace the value -404 with the angle of your choice.)
