Answer:
Part A - Angle d is 29º
Part B - Angle e is 61º
Part C - Angle f is 95º
Part D - the box represents a 90º angle
Step-by-step explanation:
Angle d is 29º because of the vertical angles theorem
Angle e is 61º because if you take into account that it tells you one of the angles is 90º, you'll add d, which is 29º, to that in order to get 119. Then you'll subtract 119 from 180, as all the angles in a triangle must have a sum of 180º degrees. The result should be 61º
Although it looks rather acute, f should be 95 degrees because it's a supplementary angle with 85º, meaning you subtract 85 from 180
The box in the triangle is just a symbol indicating a 90º angle
First add 14+2 so you have sqrt(x) +14=x. Next subtract the 14 to the other side and square both sides, so you have x=x^2+28x+196. Now subtract the x, then use quadratic formula to get the two solutions for the way you have the question typed. However, since I recognize this as being a test question from your FLVS course that is not typed correctly with the parenthesis that will give you the wrong answer. A better idea would be to review through the examples in the lesson, try a few practice problems, then you can easily solve by isolating the square root on one side by itself, then squaring both sides.
Answer:
2) 49
3) 8
4) 85
Hope you still need them and that they are correct!
Step-by-step explanation:
we have
m∠3 = 128°
m∠3 = m∠7---------------- > Corresponding Angles
180°=m∠7+m∠8---------- > Supplementary Angles
therefore
m∠8=180°-128°=52°
the answer is the m∠8 is 52°
Answer:
No Solution
Step-by-step explanation:
Simplify 6−3 to 3.
5×3=6+3
Simplify 5×3 to 15.
15=6+3
Simplify 6+3 to 9.
15=9
Since 15=9 is false, there is no solution.
<em>No Solution
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