Answer: 405
Step-by-step explanation:
ratio r for the geometric sequence: 5, 15, 45, 135
r is a radios of a circle,
d is the Diameter
r1=5. r2=15, r3=45, r4=135, r5=?
2*r=d
so:
d1=10, d2=30, d3=90, d4= 270
now following the sequence:
r1+d1=r2 5+10=15
r2+d2=r3 15+30=45
r3+d3=r4 45+90=135
r4+d4=r5 therefore 135 + (135*2) = 135+270=405
Answer:
4 3/4
Step-by-step explanation:
= (8 - 3) + (1/4 - 1/2)
= 5 + 1/4 - (1 x 2 over 2 x 2)
= 5 + 1/4 - 2/4
= 5 and (1/2 over 4)
= 5 + -1/4
= 4 3/4
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
Answer:

Step-by-step explanation:
Given

Required
An equivalent expression

Take LCM


Open bracket

Collect like terms


Hence, an equivalent expression is:




with that template in mind, let's check,
down 4 units, D = -4
flipped over the y-axis, B = -1