Answer would be 81.
you multiply 3 x 10 x 3, which is 90. then subtract 9 from that and you end up with 81
EFGH is a dilation and rotation of ABCD.
The shortest side of the smaller figure corresponds to the shortest side of the largest one, the largest sides correspond, etc.
AB -> EF
BC-> FG
CD->GH
DA->HE
Corresponding angles are congruent in dilations.
Angle A = angle E
Angle B= angle F
Angle C = angle G
Angle D = angle H
Explanation:
EFGH is a dilation and rotation of ABCD. If you take one of the figures, rotate it 180 degrees, and lay it on top of the other figure, the corresponding sides and angles will line up.
9514 1404 393
Answer:
sign(f(3)) ≠ sign(f(4))
Step-by-step explanation:
The intermediate value theorem tells you that a sign change between f(a) and f(b) means there is a root in the interval [a, b].
Here, we have f(3) ≈ +2.9 and f(4) ≈ -17.6, so there is a root in [3, 4].
_____
The root is approximately 3.27560108885.
Q1 is 2 2/3 or 2 2 out of 3 or 2.66666666667
Q5 is 3 1 out of 3 or 3 1/3 or 3.33333333
Q6 is 27/12 or 27 out of 12
Q10 is 109/10 or 109 out of 10
Answer:
$6386.1140
Step-by-step explanation:
Using the compound interest formula :
A = P(1 + r/n) ^nt
P 5500 ; rate, r = 10% = 0.10 ; t = 18 months = 18/12 = 1.5 years,
Compounding times per period = 12 (monthly)
A = 5500(1 + 0.1/12)^12*1.5
A = 5500(1 + 0.0083333)^18
A = 5500(1.0083333)^18
A = 5500 * 1.1611116
A = 6386.1140
Hence, amount to be repaid = $6386.1140
