Answer:
17/60
Step-by-step explanation:
The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.
<h3>What is the logic leading to the above result?</h3>
QSUWY which is a pentagon is regular that mean:
∠QYW = 108°
The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°
Thus, ∠QTW =
180 - 108
= 72°
<h3>What is a quadrilateral?</h3>
A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.
In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
Learn more about Quadrilateral at;
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Full Question:
See the attached image for missing details.
Let's set up some simultaneous equations. Let the number of nickels be n, and the number of quarters be q. Now I'm from England so I had to look up the value of a nickel (I could guess the quarter though to be 25c), but apparently it's 5c
Okay we know that the total value of the coins is 150. This gives:
25q + 5n = 150
Rearranging to make n the subject:
n = 30 - 5q
Next, we use the second statement:
n = 2q - 5
Substituting this into the first equation:
2q - 5 = 30 - 5q
7q = 35
q = 5
Putting this value for q into the first equation:
n = 30 - 5(5) = 5
Hence he has 5 of each coin. I hope this helps :)
The measure of each smaller each angle is 30 degrees.
We have given that,
Oliver draws a straight angle, and then two rays to divide the angle into 3 equal parts.
<h3>
What is the measure of the straight angle?</h3>
The measure of the straight angle is 90 degrees.
Therefore we get a straight angle is 90 degrees.
we have to divide the straight angle into 3 equal parts.
that is, 90/3=30
Therefore each angle is 30 degrees.
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