The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.
In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;
- Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR.
- Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).
Since the triangle is equilateral,
PQ = QR = RP
Mid-point divides the lines into equal parts. So,
PS = SQ = QU = UR = RT = TP
Thus, it is proved that
ΔPST = ΔSTU = ΔTUR = ΔQSU
Learn more about 'Equilateral Triangle' here:
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$135
60% markup means 60 percent of 90 dollars added back into the price
45 is 60 percent of 90 dollars so you would add that to $90
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
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The expression is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power is; Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power
<h3>How to solve exponents?</h3>
We want to find the expression that is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power.
The sentence above can be expressed as;
((1.5⁵)/(0.7⁴))³
This can be broken down into;
[1.5^(5 * 3)]/(0.7^(4 * 3))
1.5¹⁵/0.7¹²
Looking at the options, the only correct one is;
Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power
Read more about Exponents at; brainly.com/question/11975096
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when you add two negatives its just like regular number, -3+-5=-8 same as 3+5=8
