Can anyone help me with this? I've been stuck on this question for some time-

Can Anyone Help Me With This? I've Been Stuck On This Question For Some Time-

Answers

Answer 1

Answer:

Angle E is 43 degrees.

Step-by-step explanation:

So we know that AB is parallel to CD.

We also know that Angle CHF is 119 degrees and that Angle B is 18 degrees.

First, let's find Angle DHF. It is the supplementary angle to Angle CHF. Thus, they must total 180:

[tex]\angle DHF+\angle CHF=180[/tex]

We already know that Angle CFH is 119. Substitute:

[tex]\angle DHF+119=180[/tex]

Subtract 119 from both sides:

[tex]\angle DHF=61[/tex]

Therefore, Angle DHF is 61 degrees.

Since Angle DHF is 61 degrees, then angle BGH must also be 61 degrees. This is because they are corresponding angles, and corresponding angles have the same measure.

Also, Angle BGE is the supplementary angle to Angle BGH. In other words:

[tex]\angle BGE+\angle BGH=180[/tex]

Find Angle BGE. Substitute 61 for BGH:

[tex]\angle BGE+61=180[/tex]

Subtract 61:

[tex]\angle BGE=119[/tex]

So, angle BGE is 119 degrees.

Recall that a triangle's interior angles sum to 180. This means that Angle B plus Angle BGE plus Angle E must equal 180. Thus:

[tex]\angle B+\angle BGE+\angle E=180[/tex]

Substitute 18 for B and 119 for BGE. Thus:

[tex]18+119+\angle E=180[/tex]

Add:

[tex]137+\angle E=180[/tex]

Subtract:"

[tex]\angle E=43\textdegree[/tex]

And we're done!

Remarks:

I just realized that you can just use the fact that alternate exterior angles have the same measures to figure out that BGE is equivalent to CHF. Regardless, we will arrive at the same answer :)


Related Questions

Solve for y.
20y - 14y + 4 = 16
y =
Submit

Answers

Answer:

20y-14y+4=16

20y+(-14y) -4   -4

6y=12

y=2

Step-by-step explanation:

Combine like terms

subtrate 4 from each side

Divide 6 by 6 and 12 by 6

There for y=2

y=2
20y-14y+4=16

collect like terms

6y+4=16

Move constant to the right-hand side and change its sign

6y=16-4

Subtract the numbers

6y=12

divide by 6

y=2

NEED HELP ASAP!!!
A square patio has an area of 189 square feet. How long is each side of the patio to the nearest tenth? Each side of the patio is approximately ______ feet long.

Answers

14. To get the length of each side, you will have to find the square root of 189 to find what two numbers multiplied by itself will get to that number. The square root of 189 is about 13.7, to the nearest tenths is 14

You divide first what operation would you use last 18(d/3-9)=198

Answers

Answer:

addition

Step-by-step explanation:

18 ( d - 9 ) = 198

      3

divide both side by 18

d - 9 = 198  

3          18

d - 9 = 11

3

multiply both sides by 3

d - 27 = 33

add 27 to both sides

d = 33 + 27

lastly, add them together

d = 60

therefore, the last step is addition

What does n equal?
4n+2n=18

Answers

4n+2n=18
6n=18
6n/6=18/6
n=3

the the degree of 3x*5y*2

Answers

Answer:

The degree of the given expression is 2

Step-by-step explanation:

the degree of equation is 2

hope it is helpful to you



A running shoe manufacturer has a fixed overhead of $ 580000.00, variable costs of $ 50.00, and a selling price of $ 100.00.


(c) Smallest number of pairs of shoes the company must sell to turn a profit:

(d) Total profit

Answers

Answer:

To make a profit the company must sell 11601 units.

Step-by-step explanation:

Giving the following information:

Fixed costs=$580,000

Unitary variable costs= $50

Unitary selling price= $100

First, we need to calculate the break-even point in units:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 580,000 / (100 - 50)

Break-even point in units= 11,600 units

To make a profit the company must sell 11601 units.

In order to determine the total profit, you need to use the following formula:

Total profit= 50*x - 580,000

x= units sold

For example:

x= 15,000

Total profit= 50*15,000 - 580,000

Total profit= $170,000

I need help with this problem 2•1/2+4(4•2-7)

Answers

Answer:

5

Step-by-step explanation:

2×1/2 + 4×(4×2 - 7) =          ⇒ multiplication1 + 4×(8 - 7) =                      ⇒ parenthesis1 + 4×1 =                              ⇒ multiplication1 + 4 =                                 ⇒ addition5                                         ⇒ answer

Which of these is not a denomination of modern U.S. currency?
A. $500
O B. $100
O c. $2
O D. $50

Answers

i believe the answer is $500! hope this helped ! :)

The sum of two numbers is 77. The greater number is 5 more than the smaller number. Which equation
can be used to solve for the smaller number? (5 points)

1) x(x-5)=77
2) x(x+5)=77
3) x+(x+5)=77
4)x-(x+5)=77

Answers

Answer:

3)

Step-by-step explanation:

X is the smaller number and when we add 5 to the smaller number we get the greater number therefore summing up both the smaller and greater number gives a total of 77 as the question gives guidelines

Bethany sells roses and petunias. The expression 3r + 2.5p gives the cost (in dollars) of r roses and p petunias.

What is the cost of 7 roses and 8 petunias?

Answers

each rose is $3
7 roses so 7 x 3 = $21
each petunia is $2.50
8 petunias so 8 x 2.5 = $20
$21 + $20 = $41

hope this helps!

The shirt was $7.45 he pays with a $20 how much he getting back

Answers

Answer:

$12.55

Step-by-step explanation:

20-7.45=12.55

❗️HELP❗️ I need help with part a,b, and c. Idk if I got part a and b correct pls help me! Thank you

Answers

U want me to help u with all

What is 2.03_2.021 greater than less then or equal to !?

Answers

Answer:greater

Step-by-step explanation: .03 is greater than .02, think about it is 3 less or greater than 2?

The answer is greater. So 2.04 is GREATER than 2.021

Answer the question below fast​

Answers

Answer:

The answer is 10.5 in decimal form

how do you convert a percent to a fraction?

Answers

Answer:

Step 1: Write down the percent divided by 100 like this:  [tex]\frac{percent}{100}[/tex]

Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.)

Step 3: Simplify (or reduce) the fraction

Step-by-step explanation:

Example:

Step 1: Write down:

[tex]\frac{11}{100}[/tex]

Step 2: The percent is a whole number, go straight to step 3.

Step 3: The fraction cannot be simplified further.

Answer:

To convert the percent into a fraction, divide it by 100 and remove the % symbol. Then, multiply the fraction to its lowest term.

For example:

[tex] \sf{12 \: \% \: = \frac{12}{100} = \frac{3}{25} } \: [/tex]

[tex] \sf{65\% \: = \frac{65}{100} = \frac{13}{20} }[/tex]

[tex] \underline{ \sf{some \: facts \: about \: percentage}}[/tex]

[tex] \star[/tex] Percentage are fractions whose denominators are 100

[tex] \star[/tex] A fraction can be expressed as a percentage by converting it into an equivalent fraction with 100 as a denominator.

[tex] \star [/tex] We can convert a fraction to a percent by multiplying it by 100 and the % symbol.

[tex] \star[/tex] A fraction with denominator 100 can be written as a percentage by writing the numerator with the % symbol.

[tex] \star[/tex] To convert a percentage to a decimal , divide it with 100 i.e move the decimal the places to the left.

[tex] \star[/tex] To convert a percentage to a fraction , divide it by 100 and reduce it to the lowest term.

Hope I helped!

Best regards! :D

Help please! I need the answers for the two fill-in-the-blanks.

Answers

Answer:

The first column is transformation

The second one I have forgotten

Need other help

12. Lin has $212 in her savings account. Her goal is to have $800 in the account in 21 weeks. How much does
Lin needs to save each week?

Answers

Answer: Lin must save at least $28 a week

Step-by-step explanation:

I got my answer by subtracting the already earned $212 from the neccessary $800 and that got me $588. Then divided the $588 by the 21 weeks from her goal to get my answer of at leaast $28 a week.

If I said that in three days' time it would be a Thursday, I am sure that most of you would have no difficulty telling me that today was a Monday.

Try this one then. Yesterday was two days before Monday. What day is it today? Yes, you're right again. It's Sunday. Do you get the idea?

Now let's tackle a similar question from The National Mathematics Contest (1991) Paper:

Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?
PLEASE HELP

Answers

Answer:

thursday

Step-by-step explanation:

V(18, -17) and W(3,9)
Find the mid points

Answers

Answer:

[tex]=\left(\frac{21}{2},\:-4\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(18,\:-17\right),\:\left(x_2,\:y_2\right)=\left(3,\:9\right)\\\\=\left(\frac{3+18}{2},\:\frac{9-17}{2}\right)\\\\Refine\\=\left(\frac{21}{2},\:-4\right)[/tex]

what is the21st term of -3,2,7​

Answers

Answer:

102

Step-by-step explanation:

The first step is to find out how to find the next number in the term.

In this we can see that to get to the next number in the term we need to add 5.

The easiest way to figure out the 21st term of this, would be to multiply 5×21. This is equal to 105.

But since we started at three less than 5, we need to subtract 3 from 105. 105-3=102.

The 21st term is 102.

arithmetic sequence formula
an=a1+d(n-1)
-3+5(n-1)
-3+5n-5
5n-8
a21=5(21)-8
a21=97

Does this equation has one solution, no solution, or infinitely many solutions? 2(x + 2) =2x - 8 Question

Answers

Answer:

no solution

Step-by-step explanation:

2(x + 2) = 2x -8

2x+4 = 2x-8

2x - 2x =-8 - 4

0 = -12

if the numbers r not the same on both right and left side it have no solution.

hope u like it ‍❤️‍‍❤️‍❤️‍

for any question comment me

PLZ I NEED ANSWERS NOW!!!! {(-1, 2), (0, 2), (5, 2)} is a function. TrueFalse

Answers

Answer:

True

Step-by-step explanation:

every x only has one y

Divide 624 in the ratio 10 : 6.

Answers

Answer:

390:234

Step-by-step explanation:

10+6=16

624/16=39

39*10=390

39*6=234

390:234

What do you know about x and y if their product is zero?

Answers

Step-by-step explanation:

Either x = 0 or y = 0. (Zero product rule)


[tex] \sqrt{4} [/tex]
find each square root​

Answers

Answer:

2

Step-by-step explanation:

[tex] \sqrt{4} = 2 \\ 2 \times 2 = 4[/tex]

The answer is two for square root

Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x +7,
determine the numerical length of NO.

Answer: NO =

Answers

Answer:

Given : NP is a line segment

and O is the mid point

therefore, we can write

NP = NO + OP

now put the values

under NP write 2x , NO = x+7 , OP = 10

Therefore the equation that comes to us after putting values is

2x = x+7 + 10

now solving

2x - x = 7+10

x = 17

therefore

numerical length of NO = x+7

i.e. , 17 + 7 = 24

HOPE U FIND THIS ANSWER USEFUL TO U

THANK U

M is the midpoint of CD. C has coordinates (-1, -1) and
M has coordinates (3, 5). Find the coordinates of D.
o (-5, -7)
O (4, 6)
O (6, 10)
0 (7, 11)

Answers

Answer:

(7, 11)

Step-by-step explanation:

If a line segment has endpoints at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]), the coordinates of the midpoint O(x, y) of the segment AB is given by the formula:

[tex]x=\frac{x_1+x_2}{2}\\\\y=\frac{y_1+y_2}{2}[/tex]

Given the midpoint M(3, 5) of the segment CD with the coordinates of C at (-1, -1). Let the coordinates of D be at ([tex]x_2,y_2[/tex]). Hence:

[tex]x=\frac{x_1+x_2}{2}\\\\ 3=\frac{-1+x_2}{2} \\\\6=-1+x_2\\\\x_2=6+1\\\\x_2=7\\\\y=\frac{y_1+y_2}{2}\\\\ 5=\frac{-1+y_2}{2} \\\\10=-1+y_2\\\\y_2=10+1\\\\y_2=11[/tex]

Hence the coordinates of D is at (7, 11)

A student found the volume of a rectangular pyramid with a base area of 92 square meters and a height of 54 meters to be 4,968 cubic meters. Explain and correct the answer.

Answers

Answer:

1 656 m³

Step-by-step explanation:The volume of a rectangular pyramid formula

V = B×h/3

= 92m²×54m/3

= 92m²×18m

= 1 656 m³

Answer:

v = 1656 cubic meters

Step-by-step explanation:

what we have =  base area = 92 square meters

                       = height = 54 meters

the volume formula of a rectangular pyramid = V=lwh  /3

since base area = lw

lw = 92 meters

now we can write - 92* 54 /3

                             = 4968 /3

                             = 1656

So the corect answer is 1656 cubic meters and the student is wrong.

hope this helps pls mark brainliest

What is the solution to the situation below? The sum of three consecutive integers is 42

Answers

Answer:

13,14,15

Step-by-step explanation:

let the first number be n

The next 2 consecutive numbers will be

n+1 and n+2

Sum of these numbers is 42

n+ n+1+n+2=42

Combine like terms

3n+3=42

3n=42-3=39

n=39/3=13

So the numbers are

n=13

n+1=13+1=14

n+2=13+2=15

Miranda wants to join Kick Start Gym and they have two plans she can choose from. Plan A will cost $12 per month plus a $130 joining fee. Plan B does not have a joining fee, but will cost $25 per month. Write and solve an equation to find the number of months for which the cost of each plan is equal.

Answers

Answer: 10

Step-by-step explanation:

Cost of any plan = Joining fee + (Per month fee ) × (number of months )

Let x be the number of months for which the cost of each plan is equal.

Cost of plan A =  130 + 12 x

Cost of plan B = 0+ 25x = 25x

According to the question,

[tex]25x = 130+12x\\\\\Rightarrow 25x-12x=130\\\\\Rightarrow\ 13x=130\\\\\Rightarrow\ x=\dfrac{130}{13}\\\\\Rightarrow\ x=10[/tex]

Hence, the number of months for which the cost of each plan is equal is 10.

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