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3 years ago

In the diagram below, BD is parallel to XY What is the value of y?

Mathematics

1 answer:

elena55 [62]3 years ago

5 0

Answer:

$y =110^\circ$

Step-by-step explanation:

Given

See attachment for diagram

Required

Find y

From the attachment, 70 and y are interior angles.

So:

$70 + y = 180$

Solve for y

$y = 180 - 70$

$y =110^\circ$

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John wants to buy a DVD player. The price is $100, and the sales tax is 5 percent. Store A is offering a 10 percent discount and

exis [7]

Answer:

Price of DVD at Store A = $ 94.5

Price of DVD at Store B = $ 95

Step-by-step explanation:

Given that

Price of DVD player = $ 100

Sales Tax = 5%

Now, lets calculate price of of DVD player at store A

The price of DVD player at store A after 10% discount = 100 - 10% of 100

The price of DVD player at store A after 10% discount= 100 - 0.1x100

The price of DVD player at store A after 10% discount= 100 - 10 = $90

Price of DVD player at store A after sales tax = 90 + 5% of 90

Price of DVD player at store A after sales tax = 90 + 0.05x90

Price of DVD player at store A after sales tax = 90 + 4.5

Price of DVD player at store A after sales tax = $94.5

Now, lets calculate price of of DVD player at store B.

The price of DVD player at store B= 100

Price of DVD player at store B after sales tax = 100 + 5% of 100

Price of DVD player at store B after sales tax = 100 + 0.05x100

Price of DVD player at store B after sales tax = 100 + 5

Price of DVD player at store B after sales tax = $ 105

Price of DVD player at store B $10 rebate = 105 - 10

Price of DVD player at store B $10 rebate = $95

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2 years ago

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I <br> -72 <br> –54 <br> -36 <br> What is the y-intercept of the line?

Anarel [89]

Answer:

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2 years ago

What type of solutions does this equation have?

Oksi-84 [34.3K]

Answer:

one real solution

Step-by-step explanation:

square root of 0 is 0

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2 years ago

Solve the following system of equations by graphing and select the correct answer below:

JulijaS [17]

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute $y=0$ into the equation and solve for "x".

To find the y-intercept, substitute $x=0$ into the equation and solve for "y".

- For the first equation:

x-intercept

$4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25$

y-intercept

$4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66$

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

$2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5$

y-intercept

$2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33$

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

$x=5\\y=3$

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3 years ago

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What is the unit rate for a 14 oz bag of Lays Potato Chips that costs $3.25.

Ronch [10]

The unit rate is 14 over 3.25 then get 1oz then divide by 3.25

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