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VikaD [51]
2 years ago
7

NEED HELP ASAP WORTH LOTS OF POINTS

Mathematics
2 answers:
Vikentia [17]2 years ago
7 0

<u>Statement</u><u>:</u>

PQRS is a rhombus with PQ = (9b - 5) and QR = (3b - 0.8) meters. S is the midpoint of RT.

<u>To </u><u>find</u><u> out</u><u>:</u>

The length of RT.

<u>Solution</u><u>:</u>

  • There is a property of a rhombus that all sides of the rhombus are equal.

  • So, PQ = QR = RS.

  • Therefore, 9b - 5 = 3b - 0.8
  • or, 9b - 3b = -0.8 + 5
  • or, 6b = 4.2
  • or, b = 4.2 ÷ 6 = 0.7 m

  • Therefore, the length of RS
  • = 9b - 5
  • = 9(0.7) - 5 m
  • = 6.3 - 5 m
  • = 1.3 m

  • S is the midpoint of RT.
  • Hence, TS = RS = 1.3 m

  • Therefore, the measure of RT
  • = TS + RS
  • = (1.3 + 1.3) m
  • = 2.6 m

<u>Answer</u><u>:</u>

RT = 2.6 meters

Hope you could understand.

If you have any query, feel free to ask.

otez555 [7]2 years ago
6 0

Answer: 2.6

Step-by-step explanation:

PQ = QR (because it’s a rhombus), so


9b - 5 = 3b - 0.8

b = 0.7


And RS = PQ (again because rhombus), so RS = 9b - 5 = 1.3. Since RT is twice RS, we have


RT = 2(1.3) = 2.6.

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