Question

NEED HELP ASAP WORTH LOTS OF POINTS

Answer 1

Answer: 2.6

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.

Answer 2

Statement:

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

To find out:

The length of RT.

Solution:

• 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

Answer:

RT = 2.6 meters

Hope you could understand.

If you have any query, feel free to ask.