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4 years ago

In the figure, AOB II (parallels) CD, find the values of x and y.

Mathematics

1 answer:

Advocard [28]4 years ago

5 0

Answer:

x = 5, y = 20

Step-by-step explanation:

Since AB and CD are parallel, then

∠ AOC and ∠ OCD are Alternate angles and congruent, thus

12x + 8 = 68 ( subtract 8 from both sides )

12x = 60 ( divide both sides by 12 )

x = 5

-------------------------------

∠ OCD and 5y + 12 are adjacent angles and supplementary, thus

5y + 12 + 68 = 180 , that is

5y + 80 = 180 ( subtract 80 from both sides )

5y = 100 ( divide both sides by 5 )

y = 20

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Step2247 [10]

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3 years ago

A soccer ball is kicked from the top of a 64 ft building into the air at an initial speed of 48 ft/sec. Its flight as a function

FinnZ [79.3K]

Answer:

t = 4 seconds

Step-by-step explanation:

The height of a soccer ball as a function of time is given by :

$h(t)=-16t^2+48t+64$

We need to find the time when the ball hit the ground i.e. h = 0

Put h = 0 in above equation. So,

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t = -1 s and t = 4 s

Neglecting -1 s, the ball will hit the ground after 4 seconds.

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3 years ago

5y-3y+1=7<br><br> solve for y

Juli2301 [7.4K]

Answer:

y=3

Step-by-step explanation:

Let's solve your equation step-by-step.

5y−3y+1=7

Step 1: Simplify both sides of the equation.

5y−3y+1=7

5y+−3y+1=7

(5y+−3y)+(1)=7(Combine Like Terms)

2y+1=7

Step 2: Subtract 1 from both sides.

2y+1−1=7−1

2y=6

Step 3: Divide both sides by 2.

2y /2 = 6 /2

y=3

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4 years ago

In triangle ABC, the measure of angle A is 40.5°and the measure of an exterior angle at B is 96.3°. What is the measure of angle

mariarad [96]

The answer would be 43.2

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3 years ago

How do you write 37. 4 in scientific notation?

Natali [406]

Answer:

3.74 × 10 or 3.74 × 10^1

Step-by-step explanation:

Hope This Helps!

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3 years ago