The answer:
<span>the two triangles are similar
in addition, the line UV is parallel to line BC, so we can use the theorem of Thales for proving the following ratios:
AV /AC = AU/ AB= UV/ BC
372/589=20x +80 / AB = 444 / 703
</span>so we get (372/589) AB - 80 = 20x, and x = ( (372/589) AB - 80 ) / 20
exact value of x depends on the value of AB
35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of black tea worth 1.80 per pound to be mixed to get the final mixture for 2.10 per pound, hence:
2.4(35) + 1.8(x) = 2.1(x + 35)
x = 35 pounds
35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound
Find out more on equation at: brainly.com/question/2972832
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For this, we have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years
Formula: A= P * ( 1+r)^t
A= $41,000
r=0.023
t= 17
<span>41,000= P * (1+0.023)^17
</span>41,000= P * (1.023)^17
41,000= P * 1.4719
P= 41,000 : 1.4719
P= $27,731.59
Therefore, the answer is C. $27,731.59
I checked by doing the opposite, and I got $41,000.01, which is the closest to the question<span>
</span>
Answer:
x=15
Step-by-step explanation:
Step 1: Multiply both sides by 2.
Step 2: Simplify both sides of the equation.
6x+18=108
Step 3: Subtract 18 from both sides.
6x+18−18=108−18
6x=90
Step 4: Divide both sides by 6.
x=15
Answer:
See below
Step-by-step explanation:
It could be a positive square root l like √10 ( the number not being a perfect square).
He would have obtained this value from the application of the Pythagoras theorem. For example the length and width of the rectangle might have been 3 and 1 foot respectively, so the diagonal would have length √(3^2 + 1^2) = √10.
He could give an estimate of the length to nearest hundredth using his calculator. This would be 3.16 feet.
