To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFractio
2 answers:
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Answer:
Step-by-step explanation:
step 1
Alex’s printer
we know that
print 8 photos in 12 minutes
so
by proportion
Find how long will it take the printer to print 120 photos
step 2
Khalil’s printer
we know that
print 24 photos in 1 hour (60 minutes)
so
by proportion
Find how long will it take the printer to print 120 photos
step 3
Find the difference
Let
x------> amount of <span> big marbles in the box
y------> </span>amount of small marbles in the box
R----> amount of small marbles that are red in the box
B----> amount of small marbles that are blue in the box
we know that
x=45+(3/4)*x----> x-(3/4)*x=45----> x/4=45-----> x=180
R+B=y-----> equation 1
R=(2/5)*y---> equation 2
B=(3/5)*y---> equation 3
B=R+24----> equation 4
substitute equation 2 in equation 1
[(2/5)*y]+B=y----> equation 5
substitute equation 2 in equation 4
B=[(2/5)*y]+24----> equation 6
resolve the system
[(2/5)*y]+B=y---> multiply by 5----> 2y+5B=5y----> 3y=5B
B=[(2/5)*y]+24----> multiply by 5----> 5B=2y+120
using a graph tool
see the attached figure
the solution is
B=72
y=120
R=y-B----> R=48
total marbies=x+y-----> 180+120-----> 300
tota; big marbies=180
<span>percent of the marbles are big marbles
</span>if 100%-----------> 300
X----------------> 180
x=180*100/300-----> x=60%
the answer is
60%
x------> amount of <span> big marbles in the box
y------> </span>amount of small marbles in the box
R----> amount of small marbles that are red in the box
B----> amount of small marbles that are blue in the box
we know that
x=45+(3/4)*x----> x-(3/4)*x=45----> x/4=45-----> x=180
R+B=y-----> equation 1
R=(2/5)*y---> equation 2
B=(3/5)*y---> equation 3
B=R+24----> equation 4
substitute equation 2 in equation 1
[(2/5)*y]+B=y----> equation 5
substitute equation 2 in equation 4
B=[(2/5)*y]+24----> equation 6
resolve the system
[(2/5)*y]+B=y---> multiply by 5----> 2y+5B=5y----> 3y=5B
B=[(2/5)*y]+24----> multiply by 5----> 5B=2y+120
using a graph tool
see the attached figure
the solution is
B=72
y=120
R=y-B----> R=48
total marbies=x+y-----> 180+120-----> 300
tota; big marbies=180
<span>percent of the marbles are big marbles
</span>if 100%-----------> 300
X----------------> 180
x=180*100/300-----> x=60%
the answer is
60%
Answer:
74.1 units²
Step-by-step explanation:
Area of the trapezoid shown = ½×(AD + BC)×BE
Use distance formula, to find AD, BC, and BE.
✍️Distance between A(-9, 4) and D(9, 1):
(nearest tenth)
✍️Distance between B(-4, -3) and C(2, -4):
(nearest tenth)
✍️Distance between B(-4, -3) and E(-3, 3):
(nearest tenth)
✔️Area of the trapezoid:
Area = ½×(AD + BC)×BE
Plug in the values into the formula
Area = ½×(18.2 + 6.1)×6.1
Area = ½×(24.3)×6.1
Area = 74.115 ≈ 74.1 units² (nearest tenth)