Answer: XY = 2 units
Step-by-step explanation:
Given that :
ΔEFG ≅ ΔXYZ
Then, segments :
EF = XY, FG = YZ and EG = XZ
GIVEN THAT :
E (0, 0), F (0, 2), and G (3, 0)
We can find the distance between coordinates E (0, 0), F (0, 2) to get the measure of XY since they are both congruent.
EF = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
x1 = 0, y1= 0, x2 = 0, y2 = 2
EF = sqrt[(0 - 0)^2 + (2 - 0)^2]
EF = sqrt[ 0 + 4]
EF = 2
SINCE EF = XY
XY = 2 units
<u>Question 2</u>
1) 
, 
(given)
2) 
(reflexive property)
3) 
and 
are right angles (perpendicular lines form right angles)
4) 
and 
are right triangles (a triangle with a right angle is a right triangle)
5) 
(HL)
Question 3
1) 
is a right angle, 
, 
(given)
2) 
is a right angle (perpendicular lines form right angles)
3) 
and 
are right triangles (a triangle with a right triangle is a right angle)
4) 
(reflexive property)
5) 
(HL)
6) 
(CPCTC)
7) 
bisects 
(if a segment splits an angle into two congruent parts, it is an angle bisector)
Answer:
$425.6 is the amount that needs to be budgeted
Step-by-step explanation:
P(Y >y)=0.1
3
P(
(Y − µ
)/σ > (y − 400
)/20 )=0.1
3
P(Z >( y − 400
)/20 )=0.1
3
(y − 400
)/20
≈ 1.28
y ≈ (1.28)(20) + 400
y ≈ 425.60
point one zero two
or
zero and one zero two thousandths
