Answer:
Step-by-step explanation:
5x - 3 = 2(3x - 5)
5x - 3 = 6x - 10
6x - 5x = 10 - 3
x = 7
QS = 3(7) - 5 = 16 units
PR = 5 × 7 - 3 = 32 units
Answer:
Naomi had the correct measurement the ring weighed 0.625 carats
Step-by-step explanation:
* The diamond ring weighed 5/8 carats
- To know who is right lets change the fraction 5/8 to a decimal number
∵ 5/8 means 5 ÷ 8
- 5 is smaller than 8 so we will multiply it by 10 and
insert decimal point in the quotient (answer of division)
∴ It will be 50 ÷ 8 = 6 and remainder 2/8 ⇒ 1/4
∴ The quotient = 0.6 and remainder 1/4
- 1 is smaller than 4 so we will multiply it by 10
∴ It will be 10 ÷ 4 = 2 and remainder 2/4 ⇒ 1/2
∴ The quotient = 0.62 and remainder 1/2
- 1 is smaller than 2 so we will multiply it by 10
∴ It will be 10 ÷ 2 = 5 without remainder
∴ The quotient = 0.625
* Naomi had the correct measurement the ring weighed 0.625 carats
784 adult tickets
Adult + children’s tickets = 1488
(1488-80)/2+80= adult tickets
Based on the coordinates of triangle RST, we can infer that triangle RST is <u>not a right-angled triangle. </u>
<h3>Is triangle RST a right-angled triangle?</h3>
For this to be a right-angled triangle, the Pythagoras theorem has to apply where:
Largest side² = Side A² + Side B²
Lengths of the triangle:
RS² = (4 - 2)² + (4 - 3)²
= 5
ST² = (5 - 4)² + (0 - 9)²
= 17
TR² = (2 - 5)² + (3 - 0)²
= 18
We can see that:
18 ≠ 17 + 5
This is therefore not a right-angled triangle.
Find out more on the Pythagoras theorem at brainly.com/question/343682.
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