In rhombus ABCD, AB = 13 and AC = 25. Find the area of the rhombus to the nearest tenth.

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Answer 1

Answer: $the\ area\ of\ the\ rhombus=\n=half\ the\ product\ of\ the\ diagonals\ of\ a\ rhombus\n\nA= (1)/(2)\cdot |AB|\cdot |AC|=(1)/(2)\cdot 13\cdot 25= 162.5\ [u^2]$

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Mr.Vance's yearly taxable income is $35,675.What is the dollar amount taken out for taxes based on Mr.Vance's taxable income?

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This is an incomplete problem. The missing information is

Each bulleted statement describes how the amount of income tax is determined for yearly income in different ranges.

1) Yearly incomes of $8,925 or less are taxed at a flat rate of 10%.
2) For yearly incomes from $8,926 to $36,250, the first $8,925 is taxed at 10% and any income beyond $8,925 is taxed at 15%.
3) For yearly income greater than $36,250, the first $8,925 is taxed at 10%, the next $27,325 is taxed at 15%, and any income beyond $36,250 is taxed at 25%

The taxable income of Mr. Vance corresponds to number 2.

⇒ 8,925 * 10% = 892.50
⇒ 35,675 - 8,925 = 26,750 * 15% = 4,012.50

Total tax = 892.50 + 4,012.50 = 4,905

Caroline bought 20 shares of stock at 101/2, and after 10 months the value of the stocks was 111/4. If Caroline were to sell all her shares of this stock, how much profit would she make

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Answer:

$15 profit would she make

Step-by-step explanation:

Given the statement: Caroline bought 20 shares of stock at $10(1)/(2)$ and after 10 months the value of the stock was $11(1)/(4)$ if Caroline were to sell all her shares of this stock.

$\text{Profit} = 11(1)/(4)-10(1)/(2) = 11.25- 10.5 = 0.75$

Number of share = 20.

$\text{Total profit } = 0.75 * 20 =\$15$

Therefore, the profit would she make is, $15

Find the other endpoint of a line segment with the given midpoint and one endpoint.midpoint (11/2,17/2) and the endpoint is (2,9)

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$A(x_A;\ y_A);\ B(x_B;\ y_B)\n\nmidpoint\ AB:\left((x_A+x_B)/(2);\ (y_A+y_B)/(2)\right)$

$A(2;\ 9);\ B(x;\ y)\n\nmidpoint\ AB:\left((11)/(2);\ (17)/(2)\right)\n\n(2+x)/(2)=(11)/(2)\ and\ (9+y)/(2)=(17)/(2)\ \ \ \ \ |multiply\ both\ sides\ by\ 2\n\n2+x=11\ and\ 9+y=17\n\nx=11-2\ and\ y=17-9\n\nx=9\ and\ y=8\n\nAnswer:endpoint\ (9;\ 8).$

Please someone answer this question as quick as possible please

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Answer: 1/5 is the answer :)

A pair of angles whose sum is 90 degrees are called _____ angles.

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Answer:

complimentary

Use the properties of operations to multiply the expressions. (t + t)(4.9t)