Answer:
D. SAS
Step-by-step explanation:
Given: ΔABC
Bisecting <ABC to create point D implies that BD is a common side to ΔABD and ΔCBD.
Also,
m<ABD = m<CBD (angle bisector)
BA = BC (given property of the isosceles triangle)
Therefore,
ΔABD ≅ ΔCBD (Side Angle Side)
The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.
Answer:
vertex:(2,-4)
Focus:(2,- )
Axis of symmetry :x=2
Directrixt: y=-
Step-by-step explanation:
X= number of hours would it take Jason to wash the van by himself.
2x=number of hours would it take Wendy to wash the van by herserlf.
<span>we calcaulate the fraction of work by Jason during one hour </span>
x hours-----------------------------1 work
1 hour---------------------- fraction of work during one hour.
fraction of work during one hour=(1 hour * 1work) / x hours=1/x
we calculate the fraction of work by Wendy during one hour.
2x hours-----------------------------1 work
1 hour---------------------- fraction of work during one hour.
fraction of work during one hour=(1 hour * 1work) / 2x hours=1/2x
We can suggest this equation:
2 hours(fraction of work by Jason during one hour + fraction of work by Wendy during one hour)=1 work
2(1/x + 1/2x)=1
least common multiple=2x
2(2+1)=2x
2(3)=2x
6=2x
x=6/2
x=3
answer: 3 hours would ti take Jason to wash the van by himself.
Answer:
All have an x-coordinate of 0.
and
All are directly above the origin.
These answers are correct
Step-by-step explanation:
i did the quiz/or/assignment
Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH