Abby got a summer job. The table shows how much money she will earn based on the number of hours she works.
2 answers:
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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:
Answer:
Simon's Age = 47
Marcie's Age = 11
Step-by-step explanation:
<em>The question is to find Simon's age and Marcie's age.</em>
<em />
Let Simon's age be x and Marcie's age be y
<u>Simon is 3 years more than 4 times marcie, so we can write:</u>
x = 4y + 3
Also,
<u>Sum of their ages is 58, so we can write:</u>
x + y = 58
or x = 58 - y
Now, we substitute this into 1st equation and solve for y first:
We know
x = 58 - y
so,
x = 58 - 11
x = 47
So,
Simon's Age = 47
Marcie's Age = 11