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3 years ago

2. measure of an angle that is supplementary to

Mathematics

1 answer:

leonid [27]3 years ago

7 0

Answer: 99°

explanation: first, we need to find angle T. we know that angle T and angle R are vertical angles, which means they’re the same. therefore, we solve the equation for x by doing angle T = angle R:
3x + 36 = 6x - 9
subtract 36 on both sides
3x = 6x - 45
subtract 6 on both sides
-3x = -45
divide both sides by -3
x= 15
then, plug in the value of x in 3x+36 to get angle T:
3(15) + 36= 81°
we found that angle T is 81°.
now, we need to find the supplementary angle of angle T. supplementary angles add up together to have a sum of 180°. to find the supplementary angle, subtract angle T from 180°:
180 - 81 = 99°
there we have the answer!

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Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation

Korvikt [17]

The right answer is Option B: 7p+12t=62

Step-by-step explanation:

Given,

Amount spent by Art and his friends = $62

Cost of one ticket = $12

Cost of t tickets = 12t

Cost of one bucket of popcorn = $7

Cost of p buckets of popcorn =7p

According to given statement;

7p+12t=62

7p+12t=62 represents the number of tickets bought, t, and the number of buckets of popcorn bought, p.

The right answer is Option B: 7p+12t=62

Keywords: addition, linear equation

Learn more about linear equations at:

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3 years ago

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erik [133]

Answer:

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x -----> the speed of the wind in miles per hour

y ----> the speed of the jet in still air in miles per hour

we know that

With a tailwind

$y+x=\frac{868}{2}$

$y+x=434$ ----> equation A

With a headwind

$y-x=\frac{792}{2}$

$y-x=396$ ----> equation B

solve the system of equations A and B by elimination

Adds equation A and equation B

$y+x=434\\y-x=396\\------\\y+y=434+396\\2y=830\\y=415$

Find the value of x

$y+x=434$

$415+x=434$

$x=434-415$

$x=19$

therefore

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

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3 years ago

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Yuri [45]

I dont know sorry,hope you find someone that helps tho!!

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3 years ago

Find the length of side AB. Give your answer to 1 decimal place.

Luden [163]

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, scalene, equilateral, acute, obtuse and right angled triangle. A right angle triangle is a triangle with one angle being 90°.

Trigonometric ratios is used to show the relationship between the angles and sides of a right angled triangle. Examples are:

sinΘ = opposite/hypotenuse; cosΘ = adjacent/hypotenuse; tanΘ = opposite/adjacent

From the question:

cos(62) = AB/12

AB = 12 * cos(62)

AB = 5.6 cm

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3 years ago

The length of a rectangle is three times its width.

Alborosie

Step-by-step explanation:

2w+6w=80

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3 years ago