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 :)
What do you know about x and y if their product is zero?
Step-by-step explanation:
Either x = 0 or y = 0. (Zero product rule)
❗️HELP❗️ I need help with part a,b, and c. Idk if I got part a and b correct pls help me! Thank you
Which of these is not a denomination of modern U.S. currency?
A. $500
O B. $100
O c. $2
O D. $50
what is the21st term of -3,2,7
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.
Solve for y.
20y - 14y + 4 = 16
y =
Submit
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
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.
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?
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.
how do you convert a percent to a fraction?
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
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)
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)
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
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
Answer the question below fast
Answer:
The answer is 10.5 in decimal form
the the degree of 3x*5y*2
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
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?
I need help with this problem 2•1/2+4(4•2-7)
Answer:
5
Step-by-step explanation:
2×1/2 + 4×(4×2 - 7) = ⇒ multiplication1 + 4×(8 - 7) = ⇒ parenthesis1 + 4×1 = ⇒ multiplication1 + 4 = ⇒ addition5 ⇒ answerYou divide first what operation would you use last 18(d/3-9)=198
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
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
Answer:
thursday
Step-by-step explanation:
[tex] \sqrt{4} [/tex]
find each square root
Answer:
2Step-by-step explanation:
[tex] \sqrt{4} = 2 \\ 2 \times 2 = 4[/tex]
PLZ I NEED ANSWERS NOW!!!! {(-1, 2), (0, 2), (5, 2)} is a function. TrueFalse
Answer:
True
Step-by-step explanation:
every x only has one y
Divide 624 in the ratio 10 : 6.
Answer:
390:234
Step-by-step explanation:
10+6=16
624/16=39
39*10=390
39*6=234
390:234
Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x +7,
determine the numerical length of NO.
Answer: NO =
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
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.
1 656 m³
Step-by-step explanation:The volume of a rectangular pyramid formulaV = B×h/3
= 92m²×54m/3
= 92m²×18m
= 1 656 m³Answer:
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 brainliestHelp please! I need the answers for the two fill-in-the-blanks.
Answer:
The first column is transformation
The second one I have forgotten
Need other help
The shirt was $7.45 he pays with a $20 how much he getting back
Answer:
$12.55
Step-by-step explanation:
20-7.45=12.55
What is 2.03_2.021 greater than less then or equal to !?
Answer:greater
Step-by-step explanation: .03 is greater than .02, think about it is 3 less or greater than 2?
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.
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.
Does this equation has one solution, no solution, or infinitely many solutions? 2(x + 2) =2x - 8 Question
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
V(18, -17) and W(3,9)
Find the mid points
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 does n equal?
4n+2n=18
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
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
What is the solution to the situation below? The sum of three consecutive integers is 42
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