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3 years ago

7

A family has an annual income of $25,200. of this, 1/4 is spent for food, 1/5 for housing, 1/10 for clothing, 1/9 for savi

ngs, 1/4 for taxes, and the rest for other expenses. how much is spent for taxes?

1 answer:

Firlakuza [10]3 years ago

8 0

To answer the question, you have to multiply $25,200 by 1/4 (portion allocated/ alloted for the tax -
$25,200 * 1/4 = 25,200/4 (then divide 25,200 by 4)
= $6,300
Therefore, the family spent $6,300 for taxes from their annual income of $25,200.

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Find the value of x using angle properties & the measure of

Jobisdone [24]

Answer:

15.

$x = 20$

16.

$\angle BFH$ = $100\textdegree$

$\angle CBD$ = $100\textdegree$ (if needed)

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

17.

$x = 7$

18.

$\angle BFH$ = $68\textdegree$

Step-by-step explanation:

15. The two following angles, which is $\angle CBD$ and $\angle BFH$ , are <u>Corresponding Angles</u>. Write an expression by using the following measurements from $\angle CBD$ and $\angle BFH$ . Then, solve the expression for the value of $x$ :

$\angle CBD$ = $5x$

$\angle BFH$ = $3x + 40$

$5x = 3x + 40$

Solve for $x$ :

$5x = 3x + 40$

$5x - 3x = 3x - 3x + 40$

$2x = 40$

$\frac{2x}{2} = \frac{40}{2}$

$x = 20$

16. After you have the value $x$ use it to find the <u>actual</u> measurements of both $\angle CBD$ and $\angle BFH$ , by applying $x$ to the following expressions from both $\angle CBD$ and $\angle BFH$ and solve them:

-The value of $x$ :

$x = 20$

-Solve for $\angle CBD$ :

$\angle CBD$ = $5x$

$5(20)$

$100$

-The <u>actual</u> measurement of $\angle CBD$ :

$\angle CBD$ = $100\textdegree$

-Solve for $\angle BFH$ :

$\angle BFH = 3x + 40$

$3(20) + 40$

$60 + 40$

$100$

-The <u>actual</u> measurement of $\angle BFH$ : (if needed)

$\angle BFH$ = $100\textdegree$

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

17. The two following angles, which is $\angle BFE$ and $\angle DBF$ are <u>Alternate Interior Angles</u> .Write an expression by using the following measurements from $\angle BFE$ and $\angle DBF$ . Then, solve the expression for the value of $x$ :

$\angle BFE$ = $16x$

$\angle DBF$ = $4x + 84$

$16x = 4x + 84$

-Solve for $x$ :

$16x = 4x + 84$

$16x - 4x = 4x - 4x + 84$

$12x = 84$

$\frac{12x}{12} = \frac{84}{12}$

$x = 7$

18. After you have the value $x$ use it to find the <u>actual</u> measurement of $\angle DBF$ , by applying $x$ to the expression from $\angle DBF$ and solve it and find the actual measurement of an angle that is not labeled, which is $\angle BFH$ :

-The value of $x$ :

$x = 7$

Solve for $\angle DBF$ :

$\angle DBF$ = $4x + 84$

$4(7) + 84$

$28 + 84$

$112$

-The <u>actual</u> measurement of $\angle DBF$ :

$\angle DBF$ = $112\textdegree$

-Since both $\angle DBF$ and $\angle BFH$ are supplementary (two angles that equals to $180\textdegree$ ), and you want to find the <u>actual</u> measurement of $\angle BFH$ , Use the measurement of $\angle DBF$ and subtract it from $180\textdegree$ :

$\angle DBF - 180\textdegree$

$112\textdegree - 180\textdegree = 68\textdegree$

-The <u>actual</u> measurement of $\angle BFH$ :

$\angle BFH$ = $68\textdegree$

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Brrunno [24]

Answer:

$89.25

Step-by-step explanation:

If one week is 29.75, then you can infer that each week separately would be the same amount. With this information, you can form this equation:

y = 29.75x

X would be the number of weeks while y would be the final amount based off the number of weeks.

If you substitute x with 3, then you should get the final answer of 89.25.

Hope this helps!

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Answer:

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Step-by-step explanation:

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