Angle D is a circumscribed angle of circle O.Circle O is shown. Triangle A C B is inscribed within circle O. Side A B goes through point O. The length of A C is 15 and the length of C B is 8. Angle A C B is a right angle. Line segment O E is a radius. Tangents B D and E D intersect at point D outside of the circle to form kite O B D E. Angles O B D and D E O are right angles. The length of E D is 5.
What is the perimeter of kite OBDE?
17 units
23 units
27 units
60 units
Answers
Since angle D is a circumscribed angle of circle O, the perimeter of kite OBDE is equal to 27 units in accordance with Pythagorean's Theorem.
How to calculate the perimeter of kite OBDE.
In order to determine the perimeter of kite OBDE, we would apply Pythagorean's Theorem because angles OBD and DEO are right angles.
Mathematically, Pythagorean Theorem is given by this formula:
c² = a² + b²
Where:
- h is the hypotenuse.
- a is the adjacent side.
- b is the opposite side.
Given the following data:
Length of AC = 15 units.
Length of CB = 8 units.
Length of ED = 5 units.
Substituting the given parameters into the formula, we have;
c² = 15² + 8²
c² = 225+64
c =√289
c = 17 units.
Since a kite is a quadrilateral with four (4) equal sides and two (2) congruent sides, we can deduce the following:
Side OB = OE = 1/2 × 17 = 8.5 units.
Side BD = ED = 5 units.
Therefore, the perimeter of kite OBDE is given by:
Perimeter = 17 + (5 + 5)
Perimeter = 17 + 10
Perimeter = 27 units.
Read more on Pythagorean Theorem here: brainly.com/question/16176867
Answer:
27
Step-by-step explanation:
Related Questions
Are simplified ratios written in units?
What is 2.9% of 1000
A culture started with 2000 bacteria. After 2 hours it few to 2200 bacteria. Predict how many bacteria will be present after 19 hours.
Fill in the blanks to the picture above
PLS ANSWER QUICKLY
Answers
Answer:
3.195
Step-by-step explanation:
Answer:
To solve this equation, you need to multiply each term separately and then add them up.
3 × 1 = 3 1 × 1/10 = 1/10 9 × 1/100 = 9/100 5 × 1/1000 = 5/1000
Now we can add them all together:
3 + 1/10 + 9/100 + 5/1000 = 3 + 0.1 + 0.09 + 0.005
Simplifying the decimals, we get:
3 + 0.1 + 0.09 + 0.005 = 3.1 + 0.09 + 0.005
Adding the decimals gives:
3.1 + 0.09 + 0.005 = 3.195
Therefore, the solution to the equation is 3.195.
Answers
Choose exactly two answers that are correct.
A.
(−9, 4)
B.
(−4, 9)
C.
(4, −9)
D.
(9, −4)
Answers
I'm guessing that there must be an equation to go along with this question.
Without it, we don't know what equation Monroe is graphing.
If the equation is [ y = -4/9 x ], then 'A' and 'D' are the points
that lie on the graph of his equation.
If the equation is [ y = -9/4 x ], then 'B; and 'C' are.
Answers
Answers
8/10 is what you get, but you need to simplify it to get
4/5