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A triangle has 3 angles of 60 degrees, (5y-40) degrees, and (2y+20) degrees. Show that the triangle is equilateral.

All the angles in a triangle add up to 180 degrees. Therefore, 60 + (5y - 40) + (2y + 20) = 180. This can be simplified to 7y +40 = 180. And simplified again to 7y = 140, which then means y = 140 / 7 = 20 de...
AC
Answered by Alex C. Maths tutor
7441 Views

What is a stationary wave?

A stationary wave forms when there are two waves of equal frequency (or wavelength) travelling in opposite directions, passing through one another. Interference occurs, with constructive interference at anti...
SP
Answered by Samuel P. Physics tutor
10210 Views

Billy wants to buy 10kg of the same oranges. Type A comes in bags of 1.25 kg and costs £1.50. Type B comes in bags of 5kg and used to cost £6.60 but are now 15% off. Which type is more worth it for Billy and how much does it cost?

For Type A: 10kg/1.25kg = 8 bags, therefore for 10kg it costs 8 x £1.50 = £12.00. For Type B: 1 bag used to cost £6.60 but now has 15% off =>15% of £6.60 => £6.60 x 0.15 = £0.99 => So one bag now co...
AC
Answered by Alex C. Maths tutor
4827 Views

How do you form the masculine genitive case in Russian?

For a noun that ends in a consonant, simply add 'a' For a noun ending in 'й', replace it with 'я' For a noun ending in a soft sign 'ь', replace it with 'я' For plurals, the blanket rule is to add 'ов', UNLES...
LW
Answered by Luke W. Russian tutor
1591 Views

How do you write indirect statements when translating into Latin?

The rule for indirect statements in latin is nice and simple - you have to remember to put the subject in the accusative, and the verb in the infinitive. You have to include the subject of the indirect state...
WD
Answered by William D. Latin tutor
2477 Views