Mathematics, 06.10.2020 22:01, datands

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

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answered: makenziemartinez

15.

x = 20

16.

$\angle BFH$ = $100\textdegree$

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

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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 Corresponding Angles. Write an expression by using the following measurements from $\angle CBD$ and $\angle BFH$ . Then, solve the expression for the value of :

$\angle CBD$ =

$\angle BFH$ = 3x + 40

5x = 3x + 40

Solve for :

5x = 3x + 40

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

2x = 40

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

x = 20

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

-The value of :

x = 20

-Solve for $\angle CBD$ :

$\angle CBD$ =

5(20)

100

-The actual measurement of $\angle CBD$ :

$\angle CBD$ = $100\textdegree$

-Solve for $\angle BFH$ :

$\angle BFH = 3x + 40$

3(20) + 40

60 + 40

100

-The actual measurement of $\angle BFH$ : (if needed)

$\angle BFH$ = $100\textdegree$

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

$\angle BFE$ = 16x

$\angle DBF$ = 4x + 84

16x = 4x + 84

-Solve for :

16x = 4x + 84

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

12x = 84

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

x = 7

18. After you have the value use it to find the actual measurement of $\angle DBF$ , by applying 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 = 7

Solve for $\angle DBF$ :

$\angle DBF$ = 4x + 84

4(7) + 84

28 + 84

112

-The actual 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 actual 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 actual measurement of $\angle BFH$ :

$\angle BFH$ = $68\textdegree$

answered: Guest

i believe a. 12x≥120 is the answer

answered: Guest

here is me explaining it:

the pizza would be delivered around 5, give or take 15 minutes. this means it could be delivered anywhere from 4: 45 to 5: 15

let's say 5: 00 is equivalent to 0 on a number line and x represents time. 4: 45 would be equal to -15x because we are 15 minutes behind our starting point, 5: 00. 5: 15 would be equal to 15x because we are 15 minutes ahead of your starting point (which means you're late on the pizza delivery! )

absolute value is very confusing. the basic definition is how far you are from your starting point. if we deliver the pizza at 4: 45 (15 minutes before the starting point) we would be -15. this means we are 15 away from our starting point, 5: 00. that's the absolute value. |-15| (absolute value of negative fifteen) is equal to 15. if you did not understand this i suggest rereading this paragraph.

the normal way you would write this scenario would be 4.75 (4 and 3 quarters, or 4: 45. you can also write as a fraction.) is less than x and x is less than 5.25 (5 and 1 quarter or 5: 15). 4.75< x< 5.25 the reason why i am using numbers is because you cannot represent typical time as values on a graph, number line, or in an equation.

another way to write this scenario is with absolute value. we can write this as |x| being less than or equal to .25 (remember, this just means 15 minutes). |x| ≤ .25.

sorry if the end was confusing. because we are talking about time this whole question is 10x harder. like i said earlier, you cannot represent time as, well, time, in a graph, equation, or number line. i set the values as follows: 1/4 or .25 for 15 minutes, and 1 for 1 hour. this is just a common way to set up graphs involving time.

|x| ≤ .25

i hope this ! : )

tell me if you need more assistance