The van travels 5 more miles per gallon than the van
<span>PAPER MONEY.
As wealth increases, owning a large number of gold and silver coins becomes a security problem. As coins are portable, they are also easy to steal. The next step in the development of money was for people to leave their surplus gold and silver coins with a goldsmith who had a reputation for honesty and who operated premises which were secure. The goldsmith would give a receipt, which would entitle the owner to withdraw their coins when they needed them. This was the beginning of paper money.</span>
Using the circle theorems, we have proven that m ∠RTW = 15°
<h3>Circle theorems </h3>
From the question, we are to prove that m ∠RTW = 15°
In the given diagram,
measure of arc ST = 30°
∴ m ∠SRT = 30°
m ∠SRT = ∠T + ∠W ( <em>Exterior angle of a triangle equals the sum of the two remote angles</em>)
Also,
∠T = ∠W (<em>Radii of the same circle</em>)
∴ m ∠SRT = ∠T + ∠T
m ∠SRT = 2 × ∠T
30° = 2 × ∠T
∠T = 30° /2
∠T = 15°
∴ m ∠RTW = 15°
Hence, we have proven that m ∠RTW = 15°
Learn more on Circle theorems here: brainly.com/question/27111486
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Always try putting x=1 and x=-1 to see if we can find a zero.
If x=1 we get 5+8+1-2 which is not zero.
If we change the signs of the odd powers of x we get -5+8-1-2 which is zero so x=-1 is a zero and x+1 must therefore be a factor. Now we can use synthetic division to find the quadratic:
-1 | 5 8 1 -2
5 -5 -3 2
————
5 3 -2 | 0 = 5x²+3x-2 = (5x-2)(x+1).
Therefore the real zeroes are -1, 2/5, since -1 is a duplicate zero (because the cubic factorises into (5x-2)(x+1)²).
