Answer:
<em>12^2 + x^2 = 13^2</em>
Step-by-step explanation:
The student's error was that he didn't use the Pythagorean Theorem correctly
According to the Pythagorean Theorem, <em>a^2 + b^2 = c^2</em>, where c represents the hypotenuse
However, the student replaced <em>c</em> with <em>x</em>, which isn't the hypotenuse
The hypotenuse is 13, so <em>c</em> should be 13, not <em>x</em>
The slope is: y = 3x + 6
The y-intercept is: 6
Answer:
19 units.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is given that MN=PQ.
It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.
Since non parallel sides are equal, therefore it is an isosceles trapezoid.
The diagonals of an isosceles trapezoid are equal.


Substitute the given values.





The value of x is 4.

Hence, the measure of QN is 19 units.
Answer:
24.46
ahh im so redfaced rn help lol XD
Answer:
50°
Step-by-step explanation:
In a parallelogram, opposing angles must be equal. Note how 75° = 75°. Thus, opposing angles 2x + 5 and x + 55 must also be equal.
Solve this equation for x.
Subtracting x from both sides yields x + 5 = 55. Next: Subtracting 5 from both sides yields x = 50° (answer choice C)