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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Collect the like terms
3q + 2q + 5 - 5 = 65
5q = 65 (+5 - 5 = 0)
q = 65/5
q = 13
................................... "she accidently put in cups" ???? But she calls for 6 cups sugar. how many cups did she accidently put it?
Answer:
4.92 cents
Step-by-step explanation:
The Price to Earnings or P/E is the ratio of the price of its stock to its yearly earnings expressed as dividends.
The price of a stock is $36 and it's earnings are $3.00
This means the price to earnings ratio,
P/E = 36/3 = 6
Let us express this ratio as percentage. This becomes
36/3 ×100 = 1200%
This means the ratio of price to earnings = 1200%
For an increase of 20%, the ratio of price to earnings will be = 1200 + 20 = 1220%.
Let x be the the value of earnings that would increase the ratio by 20%
36/3 × 100 = 1200%
36/x × 100 = 1220℅
3600/x = 1220
x = 3600/1220 = $2.9508
The amount by which the earnings must decrease in order that the P/E ratio increases by 20% will be
$3 - $2.9508 = $0.0492.
Converting to cents, we multiply by 100. It becomes
0.0492×100 = 4.92 cents