29. B 500min
30. C 3ft
31. im not sure but i think its A 16
The top left (-5,7)
Middle right (5,1)
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
<h3>Answer: 32</h3>
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Work Shown:
Let
x = number of visits
y = total cost in dollars
The membership costs $18 no matter how many visits you do. If you make x visits, at $1 each, then it costs an additional 1*x = 1x = x dollars. This is added on top of the base membership fee. In total, we know that y = 18+x = x+18
We want the total y to be at most $50. Therefore
. The highest y can get is 50.
Let's replace y with x+18 and isolate x

y is replaced with x+18
subtract 18 from both sides

This tells us that we can make at most 32 visits. In other words, the maximum number of visits is 32.
Answer:
Answer: <u> </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>6</u><u>°</u><u> </u>
Step-by-step explanation:
• Let's first find Angle ACB

• From alternative angles, x = Angle BAC.
• Since AB = AC, then Angle ABC = Angle ACB
