The side |rs| is congruent to side |ac| which is 14 ft.
<h3>What are congruent triangles?</h3>
Congruent triangles are two similar triangles that have corresponding sides and angles and they are of equal measure.
The figures from the textbook illustrate that following rotation, the two triangles are congruent.
This signifies that the angles and sides of the first triangle are equal to the angles and sides of the other triangle.
Therefore:
- ab = tr = 10 ft
- ac = rs = 14 ft
- bd = ts = 20 ft
Learn more about congruent triangles here:
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Simplif 1/2t to t/2
t/2 + 8 = 5/2t - 10
Simplify 5/2t to 5t/2
t/2 + 8 = 5t/2 - 10
Multiply both sides by 2
t + 16 = 5t - 20
Subtract t from both sides
16 = 5t - 20 - t
Simplify 5t - 20 - t to 4t - 20
16 = 4t - 20
Add 20 to both sides
16 + 20 = 4t
Simplify 16 + 20 to 36
36 = 4t
Divide both sides by 4
36/4 = t
Simplify 36/4 to 9
9 = t
Switch sides
<u>t = 9</u>
Answer: 3
Step-by-step explanation:
Pretend A is just three, B is just 4, and C is just 5.
3(3)-4(4)+2(5)
9-4(4)+2(5)
9-16+2(5)
9-16+10
-7+10
3
Answer:
13
Step-by-step explanation:
1-2×(-6)=
1-(-12)=
1+12=13
Answer:
It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.
Step-by-step explanation:
The filling time of a gas tank can be given by a first order function in this format:
In which 
is the current amount of fuel in the tank(in L), 
is the volume of the tank(in L), 
is the discharge rate of the tank(in L/s) and t is the time in seconds.
Finding the values of the parameters:
The tank is completly empty, so 
.
The volume of the tank is 14 gallons. However, the problem states that the volume of the tank is measured in liters.
Each gallon has 3.78L.
So 
The discharge rate for the gas is 38.0 l/min. However, the problem states that the discharge rate is in L/s. So, to find the value of r, we solve the following rule of three.
38 L - 60s
r L - 1s
Solving the equation:
It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.
