Answer: A
<u>Step-by-step explanation:</u>
≅ 
⇒ ∠XOY ≅ ∠ZOY
≅
since they are both a radius
≅
based on reflexive property
∴ ΔXOY ≅ ΔZOY by SAS
So,
≅
by CPCTC
ZY = 10.2 is given
so, XY = 10.2 by substitution property
Answer:
A
Step-by-step explanation:
The dilation with the center of dilation at the origin and scale factor of 4 has the rule
(x,y)→(4x,4y).
Thus,
- A(-1,3)→A'(-4,12)
- B(2,1)→B'(8,4)
- C(-2,-1)→C'(-8,-4)
A'(-4,12) - option B
B'(8,4) - option C
C'(-8,-4) - option D
Answer:
the answer is20 inches
Step-by-step explanation:
a square has 4 sides so you divide the total of 80 by 4.
80÷4=20
Answer: 601
Step-by-step explanation:
When the prior estimate of population proportion is not given , the formula we apply to find sample size :

, where z* = critical z-value
E=Margin of error
Given : Margin of error = 0.04
Confidence level = 95%
We know that , according to the z-table , the critical value for 95% confidence interval = z*= 1.960
Then, the required sample size : 


Hence, the required minimum sample size = 601
Answer:
$145.5
Step-by-step explanation:
Period, t = August 8.to November 8 = 3 months
Simple interest formula :
A = P(1 + rt)
A = final amount =. 7200
7200 = P(1 + (0.0825 * 3/12))
7200 = P(1 + 0.020625)
7200 = P(1.020625)
7200 = 1.020625P
P = 7200 / 1.020625
P = 7054.5009
Bank discount :
A - P
7200 - 7054.5009
= $145.4991
= $145.5