Answer:
Step-by-step explanation:
a^2+6^2 = 23^2
a^2 = 23^2 - 6^2
a^2 = 529 - 36
a^2 = 493
a = √493
a = 22,20
Answer:
<h2>
i) Angle AOC is 95° </h2>
Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.
<h2>
ii) Angle BOC is 85°</h2>
Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)
Angle AOC is 95°, So:-
95° + Angle BOC = 180°
Angle BOC= 180° - 95°
<h3><u>
Angle BOC = 85°</u></h3>
<u></u>
<h2>
iii) Angle DOE is 17°</h2>
Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)
So,
68° + Angle DOE+ 95° = 180°
163° + Angle DOE = 180°
Angle DOE= 180° - 163°
<h3><u>
Angle DOE is 17°</u></h3>
112 centimeters squared
Explanation:
The formula for area of a triangle is:
1/2 • base • height
REMEMBER, use the height that is perpendicular to the base. If not, your answer will be wrong
Use formula with given dimension of this triangle:
1/2 • 14 • 16 = 112
FINAL ANSWER WITH UNIT OF MEASURMENT:
112 centimeters squared
Have a nice day, hope this helps!
THEOREM:
<u>Same Side Interior Angles Theorem</u>:– If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
ANSWER:
By same side interior angles theorem,
∠4 + 123° = 180°
∠4 = 180° - 123°
∠4 = 57°.
Answer:
a = b = 12 feet.
Step-by-step explanation:
An isosceles right triangle always has its sides in the ratio 1:1:√2.
