Problem 11
Answer: Angle C and angle F
Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.
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Problem 12
Answer: 100 degrees
Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.
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Problem 13
Answer: 80 degrees
Explanation: This was mentioned earlier in problem 11.
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Problem 14
Answers: complement = 50, supplement = 140
Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.
Answer:
a(7)=3645
Step-by-step explanation:
you have :
f(1) =a= 5
and from recursive rule: f(n) = r · f(n − 1) and f(n) = 3 · f(n − 1)
So r=3
then
a(n)=a*r^(n-1)
a(7)=5*3^(7-1)
a(7)=5*3^6=3645
<em>hope this helps</em>
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It is 96.
triangular part:
1/2 a* g = 1/2 * 8 * 3 = 12 = d
c = √(3²+(8/2)²)=5
square part:2*c + 2*b = 7*2 + 5 * 2 = 24 = e
since you have 2x triangular and 3x squares
2*d+ 3*e = 96
Answer:
Step-by-step explanation:
<u>Sequential Operations
</u>
Mathematical operations can be done in sequence or in batches if they are of the same type. For example, we can add many terms in one single operation, but we cannot add and multiply in one go, because there are priorities when dealing with products and sums. Same happens with powers.
In our problem we are required to perform a sequence of operations like follows
Add s to t:
Add the result to r
Raise what you have to the 7th power
This is the final result
