Answers
Answer:
m<CGD = 26°
m<CGF = 100°
Step-by-step explanation:
m<CGD = 2x - 2
m<EGF = 37
m<CGF = 7x + 2
Since GE bisects <DGF, m<DGF = 2*m<EGF.
m<DGF = 2*37 = 74°
m<CGD + m<DGF = m<CGF (angle addition postulate)
(2x - 2) + (74) = (7x + 2)
Find the value of x using the equation above.
2x - 2 + 74 = 7x + 2
Collect like terms
2x + 72 = 7x + 2
-2 + 72 = 7x - 2x
70 = 5x
70/5 = 5x/5
14 = x
x = 14
m<CGD = 2x - 2
Plug in the value of x
m<CGD = 2(14) - 2 = 28 - 2
m<CGD = 26°
m<CGF = 7x + 2
m<CGF = 7(14) + 2 = 98 + 2
m<CGF = 100°
Related Questions
solve the systems using elimination.
2x + 3y = 17
3x + y = 15
Answers
Answer:
x = 4
y = 3
(4,3)
Step-by-step explanation:
PLEASE HELP 30 POINTS
Maggie’s brother is 7 years younger than three times her age. The sum of their ages is 41.
How old is Maggie?
Answers
Answer: Maggie is 29 years old
Step-by-step explanation:
12*3=36
36-7=29
29 + 12 = 41
The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant. Also, explain what the rate of change means for this situation.
answers on image 2
Answers
Answer:
D.
Step-by-step explanation:
Rate of change is another way of saying "find the gradient".
Sub any value into the gradient formula.
The rate of change = 55 / 1
The rate of change gives the cost per person to rent a fishing charter boat.
Rate of change = change in y / change in x
Therefore,
Rate of change = 165 - 110 / 3 - 2
Rate of change = 55 / 1
Rate of change = 55 / 1
The rate of change in this situation simply explains the change in the cost of renting a fishing charter boat per the change in the number people.
The rate of change gives the cost per person to rent a fishing charter boat.
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A man's shoe size is related to his foot length and can be modeled by the equation s = 1.7f - 7.2, where s is shoe size and f is foot length,
in inches. What is the shoe size of a man whose foot measures 9 inches?
Answers
Answer:
The answer is 8.
Step-by-step explanation:
I had this in my math 1 test and got it wrong lol
On putting the value of given foot length in the linear equation, the shoe size of the man is 8.1.
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0.
Putting the value of f in the linear equation to calculate s.
[tex]s = 1.7f - 7.2\\s = 1.7 * 9 - 7.2\\s = 15.3 - 7.2 = 8.1\\[/tex]
Learn more about linear equation here
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x-2/x+1 > 0, what si da solution set?
Answers
Answer:
u need to have better grammer
Step-by-step explanation:
1/3 (q + 3) = 5
What is Q?
Explain why
1/3 is a fraction
Answers
Answer:
q=12.
Step-by-step explanation:
1/3(q+3)=5 can be translated to (q+3)/3=5.
Multiply each side by 3 to get q+3=15.
Subtract 3 from each side to get q=12.
Can you explain what you mean by "Explain why 1/3 is a fraction?"
Answer:
Assuming Q is q, q = 12. 1/3 is a fraction since it is a ratio of two whole numbers.
Step-by-step explanation:
For this problem, we need to understand two things. (1) q is the unknown variable of this equation. (2) The definition of a fraction is a "numerical quantity that is not a whole number" -Oxford Dictionary which can also be stated mathematically as a ratio of two whole numbers.
First, let's explain why 1/3 is a fraction. In the numerator, we have the whole number 1, and in the denominator, we have the whole number 3. Mathematically, 1/3 is a fraction since it is a ratio of two whole numbers. Alternatively, we can say it's a non-whole numerical quantity. In this case, 0.33 repeating.
Second, let's solve for our unknown variable q:
1/3 ( q + 3 ) = 5
1/3 ( q + 3 ) * 3 = 5 * 3
q + 3 = 5 * 3
q + 3 = 15
q + 3 - 3 = 15 - 3
q = 15 - 3
q = 12
Hence, the value of q is 12.
Cheers.
Can somebody show how to solve ratios?
Answers
Answer:
The first step on how to solve the ratio is to write the values you want to compare and you can write such values in any given form like using colon or through division sign or by writing isto. Let’s understand the steps through an example. Suppose you want to take out the ratio of your maths and physics marks. You have got 90 marks in maths and 70 marks in physics. So firstly I will write it in the form of a ratio.
90 is to 70 or 90:70 or 90/70.
Second step on how to solve the problem is to reduce the values into their simplest way. So for that you can take out the common factors from the numbers. And then we can divide both of the numbers from such a common factor so that we can get the numbers in their simplest form. For example we have a number 90 : 70 then after writing it in the format of ratios now you have to bring out the common factors between the terms of ratios. So in this example we have 10 as a common factor. Thus you will divide both the numbers 90 and 70 by 10 so that you get the numbers in their simplest form so you will get 90/10:70/10 = 9:7.
Thus the ratio is 9:7.
Let’s take another example of three digits and three digits are 75 marks in biology, 25 marks in physics and 100 marks in maths. So let’s first write it in the form of ratio that is
75 : 25 : 100
Now we need to follow the next step of how to solve ratios. That is to find out the common factor from all the numbers thus we can clearly see that 25 is the common factor so you will have to divide each number with 25.
75/25 : 25/25 : 100/25
= 3 : 1 : 4
Thus the answer is 3:1:4.
The important point to learn in ratio is that it does not change with the multiplication or division of same numbers. It will remain the same. For example if you multiply the above number with 2 then they will become 75 x 2 : 25 x 2 : 100 x 2 = 150 : 50 : 200. Now also the ratio is same if you convert it to the smallest form then like first you have to divide it by 50 then you will find get the same ratio that is 3:1:2.
You can also find the value of variables if two ratios are equal. Let’s take an example to understand it better. Suppose you have one ratio 3:2 and other ratio 5:x and these two ratios are equal and now you are required to find the value of x song the equation will be
3 / 4 = 3/X
3 x X = 3 x 2
X = 6/3
X= 2.
Solve for v in the proportion.
72/81 = v/99 V = ?
Answers
Answer:
V = 88
Step-by-step explanation:
72/81 = V/99
72/81 x 99 = V
V = 88
i took the test trust
Which choice is an irrational number?
Answers
Answer: I think it's either 2 or 3 bc it's not number 4 and it's not number 1 for sure either one of those two
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
sqrt of 18 is irrational because you cannot put it in ratio notation
/[tex]\frac{27+b}{22}=8[/tex] find the answer
Answers
Answer:
b = 149
Step-by-step explanation:
Given
[tex]\frac{27+b}{22}[/tex] = 8
Multiply both sides by 22 to clear the fraction
27 + b = 176 ( subtract 27 from both sides )
b = 149
Which ordered pair is a solution of the equation?
y = 8z +3
Answers
Answer:
y+g
Step-by-step explanation:
Explaination
a(x)=2(x+7.4 and b(x) = 3/24
-7
Answers
Answer:
1. x = -7.4
2. -55/8
I hope this helps!!
TWO MORE PLEASEEEEEEEEE
Write an equation and solve. a. The length of a rectangle is 4 more than the width. If the perimeter of the rectangle is 104 in, find the dimensions.
b. Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than what he read on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?
I WILL MARK BRAINLIESTTTTTTTT
Answers
Answer:
A. length = 4w
4w + 4w + w + w is both length and both width
w = 10 2/5
B.
Day one = P
Day 2 = 2P
Day 3 = P - 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
W+4=L ( length is 4 more than width)
perimeter= 2w+2L
104=2w+2(w+4)
104=2w+2w+8
104-8=4w
4w=96
width=96/4=24length=w+4=24+4=28b-day one =x
day two=2x
day 3 = x-6
x+2x+x-6=458
4x=458+6
4x=464
x=464/4
x=116
day 1=116
day2=232
day 3: 116-6=110A charity sold 475 tickets to a dinner auction. If the charity raised $16,625 in ticket sales, what was the cost of one ticket?
Answers
Answer:
$35
Step-by-step explanation:
you have to divide the total money raised by the amount sold
16,625/475=35
each ticket was $35
and to make sure its correct you can always multiply the amount of 1 ticket to the amount sold
475*35=16,625
The sun of the arithmetic sequence is equal to three times the sum of the infinite geometric sequence.
Answers
Answer:9
Step-by-step explanation:sun *3
What is the solution to the inequality
10x – 7 > 3x + 28
Please answer
Answers
Answer:
x > 5
Step-by-step explanation:
a) The numerator of fraction is 3 less than denominator. If 5 is subtracted from both numerator and denominator, the fraction becomes 4⁄5. Express the equation algebraically and upload your workout in the google classroom. b) What is the fractional number?
Answers
Answer: 17/20
Step-by-step explanation:
Let's define:
N = numerator
D = denominator.
The fraction is N/D.
We know that:
"The numerator of fraction is 3 less than denominator. "
N = D - 3
" If 5 is subtracted from both numerator and denominator, the fraction becomes 4⁄5."
(N - 5)/(D - 5) = 4/5.
Then we have a system of equations of two variables:
N = D - 3
(N - 5)/(D - 5) = 4/5.
The first step to solve this, is to replace the first equation into the second, in that way we can work with only one variable.
(D - 3 - 5)/(D - 5) = 4/5.
Now we can solve this for D.
(D - 8)/(D - 5) = 4/5
D - 8 = (D - 5)*(4/5) = (4/5)*D - 4
D - (4/5)*D = -4 + 8 = 4
(1/5)*D = 4
D = 4*5 = 20
And here we can use the first equation to find the value of N.
N = D - 3 = 20 - 3 = 17
Then our fraction is:
N/D = 17/20
The formula below is known as the
a? + b2= c?
Answers
Answer:
that formula is known as the Pythagorean theorem
Hey can Any body help me today at 10:15 help me with Geometry if you don’t mind
Answers
Can someone please help me
Answers
Answer:
The answer is 7.93725393319/9 but simplest radical form would be √ 7/3
Step-by-step explanation:
Sally makes $24 dollars an hour. Cali makes 4/5 of what sally makes per hour. How much does cali make per hour.
Answers
Matt and Amy each had-summer jobs. Matt worked at a
restaurant as a bus boy. He earned $10 per hour, plus
tips. Amy worked as a dog-groomer. She earned $8 per
hour, plus tips.
A) Create an equation to represent their total earnings in
each situation. Explain what each of the variables
represent.
PER
HEELS
SEREN
Answers
Answer:
M=10h+t A=8h+t
Step-by-step explanation:
M=Matt
A=Amy
h=hour
t=tips
You need to simplify the expression
Answers
Answer:
Step-by-step explanation:
distribute first
34+25.5h-h
then combine like terms
34+24.5h
Zhang is designing protective packaging. He tests his design by dropping a raw egg protected by his packaging from various heights. He finds that the egg is protected up to a height of 11 meters. Zhang needs to convert the height from meters to yards for his report. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers
Answers
Answer: 12.034 yards
Step-by-step explanation:
Given the following :
Height to which egg is protected = 11 meters
Converting this height of 11 meters to yards
Let the height in yards = h
1 meter = 1.094 yards
11 meters = h
(1 * h) = (11 * 1.094)
h = 12.034 yards
Hence, the height in yards to which egg is protected = 12.034 yards
Answer:
it is D
Step-by-step explanation:
hope i helped :D
i will give you brainliest
Answers
Answer:
For a it's 1, for b, it's 9
Step-by-step explanation:
1 is equal to 7/7. 9/1 is equal to 9.
Hope this helps! If it does, please mark me brainliest. Thank you! ;)
I'll award BRAINLIEST! Find the equation of the given line:
Answers
Answer:
y=1x+-2
Step-by-step explanation:
it might be -1 though
Answer:
blank 1: -1
blank 2: -2
equation of the line: y = -x-2
Step-by-step explanation:
First we need to find the slope of the line. In order to do that, we need to select 2 points.
I selected (-2, 0) and (-1, -1)
slope formula is:
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
m = (-1 - 0)/(-1 - (-2))
m = -1/1
m = -1
We have the slope and now we need to find the y-intercept. According to the graph, the y-intercept is (0, -2) so the y-intercept which is "b" in the equation is -2.
So the equation of the given line is y = -x-2
Margaret works at a clothing store today she has only sold only shirts and pants the ratio of the number fours sold to the total number of items sold is 2/5 which model shows ratio ratio
Answers
Answer:
Step-by-step explanation:
The one with 2 shirts and 5 pants
The ratio of the two pieces of clothing is displayed as 2:3.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, Margaret is employed by a clothing retailer. She has just sold pants and shirts today. The proportion of shirts sold to all other things sold is 2/5. The model that displays this ratio
The ratio of shirts sold to total garments is 2:5 if the number of shirts sold is 2/5 of the total number of clothes sold.
Additionally, the ratio of sold shirts to sold pants is 2:3, meaning that three pants are sold for every two shirts.
For instance, 9 pairs of pants would be sold if 6 shirts were sold.
Therefore, 2:3 shows the ratio of the pair of pants and shirts.
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Evaluate b(x)=18−0.5x when x=−2,0, and 5.
Answers
hope that helps :))
The value of the function b(x) = 18 - 0.5x when x = -2, 0, and 5 are 19, 18 and 15.5 respectively.
What is equation?A formula known as an equation uses the equals sign to express how two expressions are equal.
Given function is b(x) = 18 - 0.5x
Putting x = (-2) in b(x) = 18 - 0.5x
b(x) = 18 - 0.5(-2)
b(x) = 18 - (-1)
b(x) = 18 + 1
b(x) = 19
Putting x = 0 in b(x) = 18 - 0.5x
b(x) = 18 - 0.5(0)
b(x) = 18
Putting x = 5 in b(x) = 18 - 0.5x
b(x) = 18 - 0.5(5)
b(x) = 18 - 2.5
b(x) = 15.5
Hence, required answers are 19, 18 and 15.5 respectively.
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Using the numbers 8, 6, 4, and 2 write an expression that equals 20 without changing the order of numbers
Answers
Answer:
8 + 6 + 4 + 2 = 20
Step-by-step explanation:
Answer:
8+6+4+2
Step-by-step explanation:
Frank has $864 in his bank account. His cell phone bill is 1/5 the amount of money he has in his account. He has to give his mother $55.20. How much money will Frank have left in his account?
Answers
Answer:
$117.60
Step-by-step explanation:
Do this:
$864 1 $864
_____ x ____ = ______
1 5 5
Then divide $864 by 5
Then take $172.80 - $55.20
That will give you your answer.
Answer:
$636
Step-by-step explanation:
864/5=172.80 so he paid 172.80 dollars for the phone bill. He then has 691.20 dollars left. he then gives his mother $55.20 and is left with $636.
