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GenaCL600 [577]
2 years ago
9

Two supplementary angles have a ratio of 4:5 what is the measure of the larger angle?​

Mathematics
1 answer:
Mila [183]2 years ago
4 0

Answer:

100°

Step-by-step explanation:

Supplementary means the sum of the angles is 180°

so we add 4+5 = 9

180/9 = 20

20 now we multiply according to the ratio

20x4:20x5

80:100

the measure of the largest is 100°

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as viewed from Cliff 360 m above sea level the angle of depression of a ship is to 28° how far is the ship from the shore
andrezito [222]
The distance of the ship from the shore is given by:
tan θ=opposite/adjacent
θ=28°
adjacent=x
opposite=360 m

substituting the values in our equation we get:
tan 28=360/x
solving for x we get
x=360/tan 28
x=677.06 m
6 0
3 years ago
In triangle ABC, M< A = 90° And M< C = 22° what is the measure of angle B
dedylja [7]

Answer:

The answer for ∠B = 68°

Step-by-step explanation:

Total angle in a triangle is 180° so you can just substract ∠A and ∠C from 180° :

∠A + ∠B + ∠C = 180°

90° + ∠B + 22° = 180°

∠B = 180° - 90° - 22°

= 68°

6 0
2 years ago
Marta is solving the equation
ehidna [41]

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7 0
3 years ago
Five hundred yards of fence is to be used to enclose a rectangular area next to a straight river. The river bank acts as one sid
fenix001 [56]

Answer:

the requirements are missing:

  1. express the height of the rectangle in terms of w
  2. express the area of the rectangle in terms of w

1) the height of the rectangle is:

w + h + h + w = 500 + w

2w + 2h = 500 + w

2h = 500 + w - 2w = 500 - w

h = (500 - w) / 2 = 250 - 0.5w

2) the are of the rectangle is:

w x h = w x (250 - 0.5w) = 250w - 0.5w²

3 0
2 years ago
Lan Ventor designs a new board game and offers the design to Paddington Games p.l.c.
Andrej [43]

In order to make the offer attractive such that it would earn £25,000 for Ian Vector, Paddington Games would have to sell 460 games.

The game can be sold for £25,000 or for £2,000 and then a fee of £50 for every game sold.

In order for the amount to be the same, the amount from games sold will have to equal the difference between the £25,000 and the £2,000.

Difference is:

= 25,000 - 2,000

= £23,000

The <u>number of games to be sold</u> is:

= Difference / Amount per game

= 23,000 / 50

= 460 games

In conclusion, 460 games need to be sold to make the offer attractive.

<em>Find out more at brainly.com/question/2865277.</em>

5 0
1 year ago
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