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3 years ago

Solve for x and y. Then find the measure of each angle.

Mathematics

1 answer:

aliina [53]3 years ago

5 0

Answer:

x= 42

y= 23

Step-by-step explanation:

Set up a system of equations like this:

(4y-9)=(3x-43)

(2x+13)=(4y+5)

when two lines cross like this they form vertical angles, and vertical angles are always equal.

calculate the system of equations and you'll get x=42 and y=23

To find the measure of any of the angles just put x or y into the equation.

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A farmer wants to fence a section of land for a horse pasture. Fencing cost $27 per yard. How much will it cost to fence the pas

lord [1]

Answer:

$16875

Step-by-step explanation:

Find the perimeter by adding all the lengths, which is 1875 ft.

Since 3ft = 1 yd, 1875/3 = 625 yds.

$27 per yard gives 625 * 27 = 16875.

8 0

3 years ago

Suppose a shipment of 120 electronic components contains 3 defective components. to determine whether the shipment should be ac

Likurg_2 [28]

For this problem, the most accurate is to use combinations

Because the order in which it was selected in the components does not matter to us, we use combinations

Then the combinations are $nC_r = \frac{ n! }{r! (n-r)!}$

n represents the amount of things you can choose and choose r from them

You need the probability that the 3 selected components at least one are defective.

That is the same as:

(1 - probability that no component of the selection is defective).

The probability that none of the 3 selected components are defective is:

$P = \frac{_{117}C_3}{_{120}C_3}$

Where $_{117}C_3$ is the number of ways to select 3 non-defective components from 117 non-defective components and $_{120}C_3$ is the number of ways to select 3 components from 120.

$_{117}C_3 = 260130$

$_{120}C_3 = 280840$

So:

$P = \frac{260130}{280840} = 0.927$

Finally, the probability that at least one of the selected components is defective is:

$P = 1-0.927 = 0.0737$

P = 7.4%

3 0

4 years ago

Calculate the length of the circumference of a circle with radius of 7cm

borishaifa [10]

The circumference should be 43.98

7 0

3 years ago

Read 2 more answers

John is selling tickets to an event. Attendees can either buy a general admission ticket, x,

Masteriza [31]

John sold 18 general admission tickets and 11 VIP tickets.

Step-by-step explanation:

Given,

Cost of each general admission = $50

Cost of each VIP ticket = $55

Total tickets sold = 29

Total revenue generated = $1505

Let,

x represent the number of general admission tickets sold

y represent the number of VIP tickets.

x+y=29 Eqn 1

50x+55y=1505 Eqn 2

Multiplying Eqn 1 by 50

$50(x+y=29)\\50x+50y=1450\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(50x+55y)-(50x+50y)=1505-1450\\50x+55y-50x-50y=55\\5y=55$

Dividing both sides by 5

$\frac{5y}{5}=\frac{55}{5}\\y=11$

Putting y=11 in Eqn 1

$x+11=29\\x=19-11\\x=18$

John sold 18 general admission tickets and 11 VIP tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

A landscaper mowed 2 1/4 yards in 1 1/2 hours. How much did she mow in 1 hour? How many hours does it take to mow one yard?

ioda

Answer:

1.5 or 1 1/2 of a lawn in one hour. about one hour to mow one yard.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers