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zalisa [80]
2 years ago
11

There are 45 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/5 of the remaining students gave

their speeches. How many students still haven't given their speeches?​
Mathematics
1 answer:
viva [34]2 years ago
7 0
1/3 of 45 is 15, meaning 15 students gave their speech on day 1

Today 2/5 of the remaining students gave their speech. That’s 12 more

So a total of 27 students gave their speeches. That means 18 students remain. The answer is 18
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3 years ago
Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U
lawyer [7]

Answer:

m∠U = 103° and m∠TRS = 6°

Step-by-step explanation:

In the given circle O,

Since, RS║VU, and VR is a transverse,

Therefor, m∠V + m∠R = 180° [Consecutive interior angles]

m∠R + 103° = 180° [m∠R = 103° given]

m∠R = 180° - 103°

m∠R = 77°

Since m∠R = m∠VRT + m∠TRS

77° = 71° + m∠TRS

m∠TRS = 77° - 71° = 6°

Quadrilateral RTUV is a cyclic quadrilateral.

Therefore, m∠U + m∠R = 180°

m∠U + 77° = 180°

m∠U = 180° - 77° = 103°

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3 years ago
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