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maria [59]
3 years ago
7

Can someone please answer these for me. this is my second time asking

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0

Answer:

1) Length QR is 8 units

2) The T shirt stand should be placed at the circumcenter of the Three points

    of triangle formed

3) Length FB is 21 units

Step-by-step explanation:1

1) In triangle PSQ and RSQ,

PS = SR, ∠PSQ = ∠RSQ and SQ is common side.

Thus, the two triangles are congruent.

<em>Thus, sides PQ = RQ</em>

3n-1 = 5n-7

n = 3.

Thus, QR = 5(n) - 7 = 5(3) - 7 = 15 - 7 = 8 units.

2) <em>A point inside the triangle which is equidistant from all 3 points is a circumcenter, Thus T-shirt stand to be placed at the circumcenter of triangle.</em>

3) In triangle CBF and CDF,

∠BCF = ∠DCF, ∠CDF = ∠CBF and CF is common side.

Thus, the two triangles are congruent.

<em>Thus, sides FD = BF</em>

6x+3= 4x+9

x = 3.

Thus, FB = 6(x) + 3 =6(3) + 3 = 18 + 3 = 21 units.

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