In the adjoining figure ABCD is a rhombus and angle abd is equal to 50 degree. find
2 answers:
Answer:
- See below
Step-by-step explanation:
<u>Property of the rhombus:</u>
- Opposite angles are congruent and adjacent angles are supplementary.
- Diagonals are angle bisectors.
- Diagonals are perpendicular.
<u>We have: </u>
- m∠ABD = 50°
<u>Angle ABC is:</u>
- m∠ABC = 2*m∠ABD = 50°*2 = 100°
<u>Opposite angle is equal to this:</u>
- m∠ADC = m∠ABC = 100°
<u>Adjacent angles are:</u>
- m∠BAD = m∠BCD = 180° - 100° = 80°
<u>The missing angles measures:</u>
- 1) m∠CAB = 1/2*m∠BAD = 1/2*80° = 40°
- 2) m∠BCD = 80° (shown above)
- 3) m∠ADC = 100° (shown above)
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Answer: y = 1/3x +2
Step-by-step explanation:
The equation of line in slope - point form is given as:
y - = m ( x -
)
m = 1/3
= 0
= -6
substituting into the formula , we have
y - 0 = 1/3 ( x - {-6} )
y = 1/3 (x+6)
y = 1/3x +2
Answer:
∠J = 60°
Step-by-step explanation:
The Law of Cosines tells you ...
j² = k² +l² -2kl·cos(J)
Solving for J gives ...
J = arccos((k² +l² -j²)/(2kl))
J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)
J = 60°
_____
<em>Additional comment</em>
It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.
