Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
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Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
Answer:
3
Explanation:
The smallest whole number that 4 and 6 share when multiplied is 12
The frame of film is actually 50 mm high, but it looks 16 m high on the screen.
Remember that 1 m = 1,000 mm.
So everything looks (16,000)/(50) = <u>320 times</u> as big on the screen
as it is on the film. That's called the scale factor.
The penguin is 35 mm high on the film. He'll look 320 times bigger on the screen.
(320) x (35 mm) = 11,200 mm = <u>11.2 meters</u> high
Answer:
$33.63/hour
Step-by-step explanation:
$684 / 24 hours = $28.50/hour
$28.50 * 0.18 = $5.13
$28.50 + $5.13 = $33.63 / hour after an 18% raise
Answer:
8
Step-by-step explanation:
In total, Antony sold 10 muffins. We can do a ratio like this:
Because there are 4 blackberry muffins. We solve.
Because 10 is directly half of 20, we can just multiply 4 by 2 because if you multiply 10 by 2, you'd get 20. 4 times 2 is 8. That's the answer.
