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mr_godi [17]
3 years ago
9

Triangles and angles Pls help

Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.

So we have:

32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)

32 + 2x = 180 (combine the 2 x's together)

2x = 148 (subtract a 32 from both sides)

x = 74

Let me know if this helps!

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Answer:

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3 years ago
The price of printer is 349$.00 plus 6% sales tax what is the sales tax on this printer in dollars and cents
Agata [3.3K]

Answer:

$642

Step-by-step explanation:

How to calculate the amount of sales tax?

    Convert tax percentage into a decimal by moving the decimal point two spaces to the left.

    Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.

    Add the sales tax value to the pre-tax value to calculate the total cost.

Calculating sales tax at time of purchase:

In order to calculate the sales tax of an item, we need to first multiply the pre-tax cost of the item by the sales tax percentage after it has been converted into a decimal. Once the sales tax has been calculated it needs to be added to the pre-tax value in order to find the total cost of the item. Let's start by working with an example. If a magazine costs $2.35 and has a 6% sales tax, then what is the total cost of the item. First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

6%→0.06

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

\textup{Sales tax}=0.06\times\$2.35

\textup{Sales tax}=\$0.141

Round to two decimal places since our total is in dollars and cents.

\textup{Sales tax}=\$0.14

Last, add this value to the pre-tax value of the item to find the total cost.

\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}

\textup{Total cost}=\$2.35+\$0.14

\textup{Total cost}=\$2.49

Calculating the sales tax percentage of a total:

If we are given the total cost of an item or group of items and the pre-tax cost of the good(s), then we can calculate the sales tax percentage of the total cost. First, we need to subtract the pre-tax value from the total cost of the purchase. Next, we need to create a ratio of the sales tax to the pre-tax cost off the items. Last, we need to create a proportion where the pre-tax cost is related to 100% and solve for the percentage of the sales tax. Let's start by working through an example. If a person pays $245.64 for groceries that cost $220.00 pre tax, then what is the sales tax percentage for the items.

First, subtract the pre-tax value from the total cost of the items to find the sales tax cost.

\textup{Sales tax}=\textup{Total cost}-\textup{Pre-tax value}

\textup{Sales tax}=\$245.64-\$220.00

\textup{Sales tax}=\$25.64

Next, create a ratio of the sales tax to the pre-tax cost of the items.

\frac{\textup{Sales tax}}{\ \textup{Pre-tax value}} = \frac{\$25.64}{\$220.00}

Last, create a proportion where the pre-tax value is proportional to 100% and solve for the percentage of sales tax.

\frac{\$25.64}{\$220.00}=\frac{\textup{Sales tax percentage}}{100\%}

Cross multiply and solve.

\$220.00\times\textup{Sales tax percentage}=\$25.64\times 100\%

\$220.00\times\textup{Sales tax percentage}=\$2564.00

Isolate the sales tax percentage to the left side of the equation by dividing each side by the pre-tax value.

\frac{\$220.00\times\textup{Sales tax percentage}}{\$220.00}=\frac{\$2564.00}{\$220.00}

\textup{Sales tax percentage}=11.6545455\%

Round to two decimal places since our answer is in dollars and cents.

\textup{Sales tax percentage}=11.65\%

Last, we can check this answer by calculating the sales tax percentage of the total as seen previously.

First, we need to convert the sales tax percentage into a decimal by moving the point two spaces to the left.

11.6545455%→0.116545455

Now, we need to multiply the pre-tax cost of this item by this value in order to calculate the sales tax cost.

\textup{Sales tax}=0.116545455\times\$220.00

\textup{Sales tax}=\$25.6400001

Round to two decimal places since our total is in dollars and cents.

\textup{Sales tax}=\$25.64

Last, add this value to the pre-tax value of the item to find the total cost.

\textup{Total cost}=\textup{Pre-tax value}+\textup{Sales tax}

\textup{Total cost}=\$220.00+\$25.64

\textup{Total cost}=\$245.64

Our answers check out; therefore they are correct. Now, let's use this information to solve the given problem.

Solution:

First, calculate the amount of sales tax by multiply the percent tax times the total cost:

0.07×600 =42

Next, add the amount of tax to the price of the computer:

600+42=642

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3 years ago
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What is the additive inverse of the number 1.6?<br> ≈A. -1.6<br> ≈B. 0<br> ≈C. 1<br> ≈D. 6.1
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Answer:

The additive inverse is -1.6

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