Please help quickly!
1 answer:
Answer:
The Correct option is A) 8
The value of a is 8.
Step-by-step explanation:
Vertical Angles:
The angles opposite each other when two lines cross.
They are always equal.
∠ 2(3a-7)° and ∠ (5a-6)° are vertical angles.Hence are equal.
So on Substituting we get
Applying distributive property we get
The value of a is 8
The Correct option is A) 8
You might be interested in
Answer:
2985
Step-by-step explanation:
The formula for the sum of an arithmetic series is given by the formula:
Where k is the number of terms, a is the first term, and x_k is the last term. In this case, the last term is the 30th term because we are finding the sum of the first 30 terms.
So, we need to find the 30th term. To do so, we can write an explicit formula for our sequence.
The standard form for an arithmetic sequence is given by the formula:
Where a is the initial term and d is the common difference.
From our sequence, we can see that the initial term a is 27. The common difference is 5 because each term is 5 greater than the previous one.
So, our equation is:
So, to find the 30th term, substitute 30 for n:
Subtract:
Multiply:
Add:
So, the 30th term is 172.
Now, substitute this into our original sum formula:
Substitute 30 for k (the amount of terms), 27 for a (the first term), and 172 for x_k (the 30th and last term). So:
Reduce and add:
Multiply:
So, the sum of the first 30 terms is 2985.
Answer:
Step-by-step explanation:
You can observe in the figure two parallel lines that are intersected by a transversal and several angles are formed.
The angles m∠3 and m∠6 are located inside the parallel lines and on one side of the transversal, this angles are known as "Consecutive interior angles" and they are supplementary (which means that they add up 180°).
Therefore, you know that:
So you can substitute m∠3=130° and solve for m∠6. Then you get: