Angles ∠ACD and ∠CAB are congruent because they are alternate angles. Then the area of the triangle AOB will be 22.53 square cm.
<h3>What is the
area of the right-angle triangle?</h3>
The area of the right-angle triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
We know that angles ∠ACD and ∠CAB are congruent because they are alternate angles.
α₁ = 40°
AO = OC = 7.8 cm
Then the area of the triangle will be
Area = 1/2 x 7.8 x 7.8 x tan40°
Area = 22.53 square cm
More about the area of the right-angle triangle link is given below.
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Choice a:
The order pair given is (<span>1, 3)
y-4x = 3-4(1) = -1
-1 is greater than -6
Therefore, this choice is wrong
Choice b:
</span>The order pair given is (-2, -14)
y-4x = -14-4(-2) = -6
-6 is equal -6
Therefore, this choice is correct
Choice c:
The order pair given is (-1, -9)
y-4x = -9-4(-1) = -5
-5 is greater than -6
Therefore, this choice is wrong
Choice d:
The order pair given is (3, 5)
y-4x = 5-4(3) = -7
-7 is less than -6
Therefore, this choice is correct
Choice e:
The order pair given is (0, -5)
y-4x = -5-4(0) = -5
-5 is greater than -6
Therefore, this choice is wrong
it depends on how many you answer how many thanks you get and five stars.
Answer:
thanks for the free points
Step-by-step explanation:
The recursive formula is 
= 14; 
= 
+ 3
The explicit formula is 
Step-by-step explanation:
The recursive formula of the nth term of the arithmetic sequence is
= first term; = + d, where
- is the first term in the sequence
- is the nth term in the sequence
- is the term before the nth term
- n is the term number
- d is the common difference.
The explicit formula of the nth term of the arithmetic sequence is
, where
- is the nth term in the sequence
- a is the first term
- n is the term number
- d is the common difference
∵ The arithmetic sequence is 14, 17, 20, 23, 26
∴ The first term is 14
∵ 17 - 14 = 3
∴ The common difference is 3
∵ The recursive formula is = first term; = + d
∵ = 14
∵ d = 3
∴ = 14; = + 3
The recursive formula is = 14; = + 3
∵ The explicit formula is
∵ a = 14
∵ d = 3
∴ 
- Simplify the right hand side
∴ 
- Add like terms
∴
The explicit formula is
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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