Answer:
14. 58 degrees
16. 11 degrees
Step-by-step explanation:
14. The sum of all 3 interior angles of a triangle is 180. We know right angles are 90 degrees. So 180 - 90 - 32 = 58 degrees
16. When two parallel lines are cut by a transversal, the corresponding angles have the same measure. So the angle above angle a has the same measure as the 169 degree angle in the same position on the other line. I hope those words make sense. Then angle a and the angle above it (which we know = 169 degrees) combine to make a straight line/straight angle, which = 180 degrees. 180- 169 = 11
Please let me know if you have questions.
Answer:
Point form=(-6,-2)
Equation Form= x=-6, y=-2
Step-by-step explanation:
To construct a perpendicular bisector you set the compass to a span which is greater than half the length of the given line. Then setting the point at one end of the line construct an arc passing through the line . Then repeat this process from the other side of the line keeping the compass at the same setting.
Now draw the perpendicular bisector through the 2 intersections of the arcs. That's it.
Answers
b = 2.77 m
A = 43.0°
C = 111.1°
cosine law to find b
b = 2.7708\ m
Find angle A with sine law
![\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} \\ \\ \sin A = \frac{a \sin B}{b} \\ \\ A = \sin^{-1} \left[ \frac{a \sin B}{b} \right] \\ \\ A = \sin^{-1} \left[ \frac{4.33 \sin 25.9}{2.7708} \right] \\ \\ A = 43.0467020](https://tex.z-dn.net/?f=%5Cdisplaystyle%0A%5Cfrac%7B%5Csin%20A%7D%7Ba%7D%20%3D%20%5Cfrac%7B%5Csin%20B%7D%7Bb%7D%20%5C%5C%20%5C%5C%0A%5Csin%20A%20%3D%20%5Cfrac%7Ba%20%5Csin%20B%7D%7Bb%7D%20%5C%5C%20%5C%5C%0AA%20%3D%20%5Csin%5E%7B-1%7D%20%5Cleft%5B%20%5Cfrac%7Ba%20%5Csin%20B%7D%7Bb%7D%20%20%5Cright%5D%20%5C%5C%20%5C%5C%0AA%20%3D%20%5Csin%5E%7B-1%7D%20%5Cleft%5B%20%5Cfrac%7B4.33%20%5Csin%2025.9%7D%7B2.7708%7D%20%20%5Cright%5D%20%20%5C%5C%20%5C%5C%0AA%20%3D%2043.0467020)
Find C with angles in triangle sum to 180
A + B + C = 180
C = 180 - A - B
C = 180 - 43.0467020 - 25.9
C = 111.1
Answer:First one; Less than one
Second One: Greater than one
Third one:Greater than one
Step-by-step explanation:
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