Answer:
8
Step-by-step explanation:
a+6=14
a=14-6
a=8
Therefore
8+6=14
Answer:
7,300
Step-by-step explanation:
21. <DBE and <ABE are both equal halves of <ABD, so in this case, m<ABE = m<DBE, so all you have to do is solve the equation:
6x + 2 = 8x - 14
add 14 to both sides, subtract 6x from both sides.
16 = 2x
Divide both sides by two. The solution is x = 8. To find m<ABE, replace x with 2, so your final answer is 14. m<ABE = 14
22. From what we know from 21, m<ABE = m<EBD, so keep that in mind. We still have to solve for m<EBD. Since one line is 180 degrees, we are able to write out this equation using the information given:
180 = 9x - 1 (m<ABE) + 9x - 1 (m<EBD) + 24x + 14 (m<DBC)
simplify this:
180 = 12 + 42x
subtract 12 from both sides, then divide by 42.
4 = x
Now we plug this in.
4 × 9 = 36. 36 - 1 = 35.
m<EBD = 35
23. From the past two equations, we know m<ABE consistently equals m<EBD. This means that, if they are bisectors of a right angle, they both equal 45 degrees. here is our equation:
45 = 13x - 7.
we add seven to both sides and divide by 13.
4 = x
1st term a₁ = - 3.7; common difference d = - 1.3
the nth term a(n) = a₁ +(n-1)d or a(n) = 3.7 + (n-1)(-1.3)
a(n) = - 3.7 - 1.3n + 1.3 ====> -2.4 - 1.3.n Or as per your answer:
a(n) = -1.3.n - 2.4
