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:
brainly.com/question/2855144
The answer is D. The graph will be compressed vertically.
1/2f(x) means half of the y values of the original function making the graph shorter
Answer:
I=Prt, I=simple interest, P=principal (starting amount), r=interest as a decimal, t =number of times the interest is paid or "time"
For example the simple interest earned on a $1000 deposit earning 4% APR for ten years is:
I=1000(.04)10
I=$400.00
Step-by-step explanation:
They are corresponding angles.
Answer:
- <em><u>The field in Lexie's drawing should be 20 cm long.</u></em>
Explanation:
Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.
The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:
- length of the drawing / width of the drawing = length of the field / width of the field
Thus, using x for the unknown width of the drawing:
- 30 cm / x = 120 yard / 80 yard
Thus, you must solve for x:
- 30 cm × 80 yard = 120 yard × x
- x = 30 cm × 80 yard / 120 yard = 20 cm.
Hence, the field in Lexie's drawing should be 20 cm long.
