Answer:
a = 29
b = 64
c = 87
Step-by-step explanation:
Let the angles be a (smallest), b, and c (largest).
We know that a triangle's angles must add up to 180 degrees, so we can construct the following equations.
a + b + c = 180
c = 3a
b = a +35
With some solving and substitution...
a + (a + 35) + c = 180
2a + c = 145
2a + (3a) = 145
5a = 145
a = 29
and therefore,
b = 29 + 35 = 64
c = 3(29) = 87
Answer:
2 solutions (0, 4) and (4, 20)
Step-by-step explanation:
you can solve by substitution
y=4x+4 and y=x²+4 so you can say that
4x+4=x²+4
subtract (4x+4) from both sides to get an equation that equals 0
0=x²-4x (the 4 cancels itself out, 4-4)
simplify, solve for x
0=x(x-4)
set each part =0 and solve
x=0 x-4=0
so x=0 and x=4
plug each solution back into one of the equations
y=4(0)+4
y=4
(0, 4) is one solution
y=4(4)+4
y=20
(4, 20) is another solution
so you have 2 solutions, (0, 4) and (4, 20)
For the first one, you just need to divide the amount of feet by 3 to get the amount of yards (there are three feet in a yard).
1431 / 3 = 476 2/3
The 102nd floor of the Sears Tower is 476 2/3 yards from the ground.
Second, you just need to multiply the amount of centimeters by 10 (there are 10 millimeters in a centimeter).
16 * 10 = 160
The butterfly has a wingspan of 160mm.
Third, the measurements are indeed
7. =
8. =
9. <
10. >
11. >
12. =
Fourth, you just need to know your conversion factors.
1. There are 3 feet in a yard. 42 / 3 = 14 yards
2. There are 1000 meters in a kilometer. 2350 / 1000 = 2.35 km
3. 12 inches in a foot. 18 * 12 = 216 inches
4. 10 decimeters in a meter. 289 * 10 = 2890 dm
5. 1760 yards in a mile. 1760 * 5 = 8800 yds
6. 10 millimeters in a centimeter. 35 * 10 = 350 mm
Hope that was helpful =)
Answer:
Add all of them together. So your answer is
61/10 or 6 and
Step-by-step:
7/5 =1 and 2/5 or 14/10
1/2= 5/10
4/1 or 4= 40/10
14/10 + 5/10 + 40/10 = 61/10
Simplified: 6 and 1/10
Answer:
Draw a line that crosses point C so when it crosses AB it forms two 90 degree angles
Step-by-step explanation: