The value of <em>x</em> where by exterior angles theorem, ∠DCO equals 2·x, 69° equals the sum of ∠DCO and x° is <em>x </em>= 23°
<h3>What is the exterior angles theorem?</h3>
The exterior angles theorem states that the exterior angle of a triangle is equal to the sum of the opposite interior angles.
The given parameters are;
Points on the circle are; ABCD
Straight lines = AOBE and DCE
Segment CO = Segment CE
∠AOD = 69°
∠CEO = x°
∠OCD = ∠ODC base angles of isosceles triangle
69° = ∠x° + ∠ODC exterior angle of a triangle
∠DOC = 180 - 2×∠ODC (Angle sum property of a triangle)
180 - 2×∠ODC + x° + 69° = 180° (Sum of angles on a straight line are supplementary)
x° + 69° - 2×∠ODC = 0
∠ODC = 2·x° (exterior angle of a triangle is equal to the sum of the opposite interior angles)
69° = x° + ∠ODC = x° + 2·x° = 3·x° (substitution property of equality)
69° = 3·x°
x = 69° ÷ 3 = 23°
Learn more about angles in a triangle here:
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Answer:
hello dude you see um this is complicated
Step-by-step explanation:
1 gallon / 200 ft^2 = x gallons / 885ft^2
cross multiply (200 • x, 1 • 885)
200x = 885
x = 4.425 gallons
He will take the loan from Company B.
Step-by-step explanation:
Given,
For Company A
Principal (P) = Rs 75000
Time (T) = 2 years
Rate of interest (R) = 10%
For Company B
Principal (P) = Rs 75000
Time (T) = 2 years
Rate of interest (R) = 8%
To find the amount of the loan he has to pay for both the companies.
Formula
Amount =P 
Amount= P
<u>For Company A</u>
Amount = 75000
[ Here, P= 75000, T=2 and R = 10%]
= 194530 (approx)
<u>For Company B</u>
Amount = 75000(
[ Here, P= 75000, T=2, n = 2 and R = 8%]
= 87739 (approx)
Hence,
He will take the loan from Company B, because he has to pay less money for this company.
Answer:
slope= -7/4
Step-by-step explanation:
y2-y1/x2-x1
16-9/-3-1
